## Publications of Daniel J Gauthier    :chronological  combined listing:

%% Papers Published
@article{fds3778,
Author = {R.W. Boyd and D.J. Gauthier},
Title = {"Slow" and "Fast" Light},
Volume = {43},
Pages = {497-530},
Booktitle = {Progress in Optics},
Editor = {E. Wolf},
Year = {2002},
Month = {December},
Key = {fds3778}
}

@article{fds246371,
Author = {Stipcevic, M and Gauthier, DJ},
Title = {'Precise Monte Carlo simulations of single-photon
detectors},
Journal = {J. Sel. Top. Quantum Electron.},
Volume = {8727},
Pages = {87270K},
Editor = {M.A. Itzler and J.C. Campbell},
Year = {2012},
Month = {December},
url = {http://www.phy.duke.edu/~qelectron/pubs/StipcevicSPIE2013.pdf},
Key = {fds246371}
}

@article{fds246327,
Author = {Zhu, Z and Dawes, AMC and Gauthier, DJ and Zhang, L and Willner,
AE},
Title = {12-GHz-bandwidth SBS slow light in optical
fibers},
Journal = {2006 Optical Fiber Communication Conference, and the 2006
National Fiber Optic Engineers Conference},
Volume = {2006},
Year = {2006},
Abstract = {We increased the bandwidth of SBS slow light in an optical
fiber to 12.6 GHz. We delayed 75-ps pulses by up to 47 ps
and studied the data pattern dependence of the broadband SBS
slow-light system. © 2006 Optical Society of
America.},
Key = {fds246327}
}

@booklet{Krasinski85,
Author = {Krasinski, J and Gauthier, DJ and Malcuit, MS and Boyd,
RW},
Title = {2-photon conical emission},
Journal = {Optics Communications},
Volume = {54},
Number = {4},
Pages = {241-245},
Year = {1985},
ISSN = {0030-4018},
Abstract = {A two-photon resonantly enhanced four-wave mixing (FWM)
process leading to the conical emission of two new frequency
components has been observed in atomic sodium vapor. A dye
laser tuned close to the 3s â†’ 3d two-photon allowed
transition produces broad-band emission near the frequencies
of the 3d â†’ 3p and 3p â†’ 3s transitions. This
radiation is emitted in the forward direction in the form of
cones surrounding the transmitted laser beam. The dependence
of the cone angle on the emission wavelength and atomic
number density is in excellent agreement with the
predictions of a model that ascribes the origin of the
conical emission to a phase-matched four-wave mixing
Key = {Krasinski85}
}

@article{fds246421,
Author = {Brown, NH and Dobrovolny, HM and Gauthier, DJ and Wolf,
PD},
Title = {A fiber-based ratiometric optical cardiac mapping channel
using a diffraction grating and split detector.},
Journal = {Biophysical Journal},
Volume = {93},
Number = {1},
Pages = {254-263},
Year = {2007},
Month = {July},
ISSN = {0006-3495},
url = {http://www.ncbi.nlm.nih.gov/pubmed/17416627},
Abstract = {Optical fiber-based mapping systems are used to record the
cardiac action potential (AP) throughout the myocardium. The
optical AP contains a contraction-induced motion artifact
(MA), which makes it difficult to accurately measure the
action potential duration (APD). MA is removed by preventing
contraction with electrical-mechanical uncoupling drugs,
such as 2,3-butanedione monoxime (BDM). We designed a novel
fiber-based ratiometric optical channel using a blue light
emitting diode, a diffraction grating, and a split
photodetector that can accurately measure the cardiac AP
without the need for BDM. The channel was designed based on
simulations using the optical design software ZEMAX. The
channel has an electrical bandwidth of 150 Hz and an root
mean-square dark noise of 742 muV. The channel successfully
recorded the cardiac AP from the wall of five rabbit heart
preparations without the use of BDM. After 20-point median
filtering, the mean signal/noise ratio was 25.3 V/V. The APD
measured from the base of a rabbit heart was 134 +/- 8.4 ms,
compared to 137.6 +/- 3.3 ms from simultaneous
microelectrode recordings. This difference was not
statistically significant (p-value = 0.3). The quantity of
MA removed was also measured using the motion ratio. The
reduction in MA was significant (p-value = 0.0001). This
fiber-based system is the first of its kind to enable
optical APD measurements in the beating heart wall without
the use of BDM.},
Doi = {10.1529/biophysj.106.101154},
Key = {fds246421}
}

@article{fds246343,
Author = {Zhao, X and Schaeffer, DG and Krassowska, W and Gauthier,
DJ},
Title = {A model-independent technique for eigenvalue identification
and its application in predicting cardiac
alternans},
Journal = {ASME International Mechanical Engineering Congress and
Exposition, Proceedings},
Volume = {2},
Pages = {301-302},
Year = {2008},
url = {http://dx.doi.org/10.1115/IMECE2007-43380},
Abstract = {Predicting cardiac alternans is a crucial step toward
detection and prevention of ventricular fibrillation, a
heart rhythm disorder that kills hundreds of thousands of
people in the US each year. According to the theory of
dynamical systems, cardiac alternans is mediated by a
period-doubling bifurcation, which is associated with
variations in a characteristic eigenvalue. Thus, knowing the
eigenvalues would allow one to predict the onset of
alternans. The existing criteria for alternans either adopt
unrealistically simple assumptions and thus produce
erroneous predictions or rely on complicated intrinsic
functions, which are not possible to measure experimentally.
In this work, we present a model-independent technique to
estimate a system's eigenvalues without requirements on the
knowledge of the underlying dynamic model. The method is
based on principal components analysis of a pseudo-state
space; therefore, it allows one to compute the dominant
eigenvalues of a system using the time history of a single
measurable variable, e.g. the transmembrane voltage or the
intracellular calcium concentration in cardiac experiments.
Numerical examples based on a cardiac model verify the
accuracy of the method. Thus, the technique provides a
promising tool for predicting alternans in real-time
Doi = {10.1115/IMECE2007-43380},
Key = {fds246343}
}

@article{fds42878,
Author = {D.J. Gauthier and J. Krasinski and R.W. Boyd},
Title = {A novel technique for resonantly enhanced sum-frequency
generation involving Rydberg atomic states},
Pages = {517 - 522},
Booktitle = {Coherence and Quantum Optics V},
Publisher = {Plenum, New York},
Editor = {L. Mandel and E. Wolf},
Year = {1983},
Key = {fds42878}
}

@article{fds246376,
Author = {Cohen, SD and Gauthier, DJ},
Title = {A pseudo-matched filter for chaos.},
Journal = {Chaos},
Volume = {22},
Number = {3},
Pages = {033148},
Year = {2012},
Month = {September},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23020487},
Abstract = {A matched filter maximizes the signal-to-noise ratio of a
signal. In the recent work of Corron et al. [Chaos 20,
023123 (2010)], a matched filter is derived for the chaotic
waveforms produced by a piecewise-linear system. This system
produces a readily available binary symbolic dynamics that
can be used to perform correlations in the presence of large
amounts of noise using the matched filter. Motivated by
these results, we describe a pseudo-matched filter, which
operates similarly to the original matched filter. It
consists of a notch filter followed by a first-order,
low-pass filter. We compare quantitatively the matched
filter's performance to that of our pseudo-matched filter
using correlation functions. On average, the pseudo-matched
filter performs with a correlation signal-to-noise ratio
that is 2.0 dB below that of the matched filter. Our
pseudo-matched filter, though somewhat inferior in
comparison to the matched filter, is easily realizable at
high speed (>1 GHz) for potential radar applications.},
Doi = {10.1063/1.4754437},
Key = {fds246376}
}

@article{fds246289,
Author = {Zhu, Y and Kim, J and Gauthier, DJ},
Title = {Aberration-corrected quantum temporal imaging
system},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {87},
Number = {4},
Pages = {043808},
Year = {2013},
Month = {April},
ISSN = {1050-2947},
Doi = {10.1103/PhysRevA.87.043808},
Key = {fds246289}
}

@article{fds246417,
Author = {Greenberg, JA and Oriá, M and Dawes, AMC and Gauthier,
DJ},
Title = {Absorption-induced trapping in an anisotropic
magneto-optical trap.},
Journal = {Optics express},
Volume = {15},
Number = {26},
Pages = {17699-17708},
Year = {2007},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/19551066},
Abstract = {We report on a simple anisotropic magneto-optical trap for
neutral atoms that produces a large sample of cold atoms
confined in a cylindrically-shaped volume with a high aspect
ratio (100:1). Due to the large number of trapped atoms, the
laser beams that propagate along the optically thick axis of
the trap to cool the atoms are substantially attenuated. We
demonstrate that the resulting intensity imbalance produces
a net force that spatially localizes the atoms. This limits
both the trap length and the total number of trapped atoms.
Rotating the cooling beams by a small angle relative to the
trap axis avoids the problem of attenuation, and atoms can
be trapped throughout the entire available trapping volume.
Numerical and experimental results are reported that
demonstrate the effects of absorption in an anisotropic
trap, and a steady-state, line-center optical path length of
55 is measured for a probe beam propagating along the length
of the trap.},
Key = {fds246417}
}

@article{fds246405,
Author = {Lefew, WR and Venakides, S and Gauthier, DJ},
Title = {Accurate description of optical precursors and their
relation to weak-field coherent optical transients},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {79},
Number = {6},
Pages = {063842},
Year = {2009},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA79_063842_2009.pdf},
Abstract = {We study theoretically the propagation of a step-modulated
optical field as it passes through a dispersive dielectric
made up of a dilute collection of oscillators characterized
by a single narrow-band resonance. The propagated field is
given in terms of an integral of a Fourier type, which
cannot be evaluated even for simple models of the dispersive
dielectric. The fact that the oscillators have a low number
density (dilute medium) and have a narrow-band resonance
allows us to simplify the integrand. In this case, the
integral can be evaluated exactly, although it is not
possible using this method to separate out the transient
part of the propagated field known as optical precursors. We
also use an asymptotic method (saddle-point method) to
evaluate the integral. The contributions to the integral
related to the saddle points of the integrand give rise to
the optical precursors. We obtain analytic expressions for
the precursor fields and the domain over which the
asymptotic method is valid. When combined to obtain the
total transient field, we find that the agreement between
the solutions obtained by the asymptotic and the exact
methods is excellent. Our results demonstrate that
precursors can persist for many nanoseconds and the chirp in
the instantaneous frequency of the precursors can manifest
itself in beats in the transmitted intensity. Our work
strongly suggests that precursors have been observed in many
previous experiments. © 2009 The American Physical
Society.},
Doi = {10.1103/PhysRevA.79.063842},
Key = {fds246405}
}

@article{fds329840,
Author = {Stipčević, M and Christensen, BG and Kwiat, PG and Gauthier,
DJ},
Title = {Advanced active quenching circuit for ultra-fast quantum
cryptography},
Journal = {Optics express},
Volume = {25},
Number = {18},
Pages = {21861-21861},
Year = {2017},
Month = {September},
url = {http://dx.doi.org/10.1364/OE.25.021861},
Doi = {10.1364/OE.25.021861},
Key = {fds329840}
}

@article{fds329843,
Author = {Stipcevic, M and Christensen, BG and Kwiat, PG and Gauthier,
DJ},
Title = {Advanced active quenching circuits for single-photon
avalanche photodiodes},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {9858},
Year = {2016},
Month = {January},
ISBN = {9781510600997},
url = {http://dx.doi.org/10.1117/12.2227999},
Abstract = {© 2016 SPIE. Commercial photon-counting modules, often
based on actively quenched solid-state avalanche photodiode
sensors, are used in wide variety of applications.
Manufacturers characterize their detectors by specifying a
small set of parameters, such as detection efficiency, dead
time, dark counts rate, afterpulsing probability and single
photon arrival time resolution (jitter), however they
usually do not specify the conditions under which these
parameters are constant or present a sufficient description.
In this work, we present an in-depth analysis of the active
quenching process and identify intrinsic limitations and
engineering challenges. Based on that, we investigate the
range of validity of the typical parameters used by two
commercial detectors. We identify an additional set of
imperfections that must be specified in order to
sufficiently characterize the behavior of single-photon
counting detectors in realistic applications. The additional
imperfections include rate-dependence of the dead time,
jitter, detection delay shift, and «twilighting.» Also,
the temporal distribution of afterpulsing and various
artifacts of the electronics are important. We find that
effects or strong deterioration of the system's performance.
Specifically, we discuss implications of these new findings
in a few applications in which single-photon detectors play
a major role: the security of a quantum cryptographic
protocol, the quality of single-photon-based random number
generators and a few other applications. Finally, we
describe an example of an optimized avalanche quenching
circuit for a high-rate quantum key distribution system
based on time-bin entangled photons.},
Doi = {10.1117/12.2227999},
Key = {fds329843}
}

@article{fds246325,
Author = {Dawes, AMC and Illing, L and Clark, SM and Gauthier,
DJ},
Title = {All-optical switch controls strong beams with weak
ones},
Journal = {Optics & Photonics News},
Volume = {16},
Number = {12 SPEC. ISS.},
Pages = {34-},
Year = {2005},
ISSN = {1047-6938},
url = {http://dx.doi.org/10.1364/OPN.16.12.000034},
Abstract = {Switches that are capable of redirecting pulses of light are
important components of high speed optical communication
networks. These devices help an incoming switching beam to
redirect other beams via light-by-light scattering. Another
desirable property property of all optical switches is that
the output beams are controlled by a weaker switch beam.
current switches however tend to control a weak beams with a
strong one.},
Doi = {10.1364/OPN.16.12.000034},
Key = {fds246325}
}

@article{fds246414,
Author = {Dawes, AMC and Illing, L and Greenberg, JA and Gauthier,
DJ},
Title = {All-optical switching with transverse optical
patterns},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {77},
Number = {1},
Pages = {013833},
Year = {2008},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/Switching_PRA_77_013833.pdf},
Abstract = {We demonstrate an all-optical switch that operates at
ultra-low-light levels and exhibits several features
necessary for use in optical switching networks. An input
switching beam, wavelength λ, with an energy density of
10-2 photons per optical cross section [σ= λ2 (2π)]
changes the orientation of a two-spot pattern generated via
parametric instability in warm rubidium vapor. The
instability is induced with less than 1 mW of total pump
power and generates several μWs of output light. The switch
is cascadable: the device output is capable of driving
multiple inputs, and exhibits transistor-like signal-level
restoration with both saturated and intermediate response
regimes. Additionally, the system requires an input power
proportional to the inverse of the response time, which
suggests thermal dissipation does not necessarily limit the
practicality of optical logic devices. © 2008 The American
Physical Society.},
Doi = {10.1103/PhysRevA.77.013833},
Key = {fds246414}
}

@article{fds246326,
Author = {Okawachi, Y and Sharping, JE and Gaeta, AL and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {All-optical tunable slow-light delays via stimulated
scattering},
Journal = {Optics & Photonics News},
Volume = {16},
Number = {12 SPEC. ISS.},
Pages = {42-},
Year = {2005},
ISSN = {1047-6938},
url = {http://dx.doi.org/10.1364/OPN.16.12.000042},
Abstract = {In systems operating at ultrahigh speeds, where information
is encoded with pulses of light, optical devices that
eliminate the need for optical/electronic conversion of the
information should be used. A new type of optical pulse
delay scheme based on stimulated scattering that represents
an important advance in flexibility and performance is
discussed. The use of stimulated scattering to produce
tunable delays represents an important advance, given that
off the shelf components can be used. The slow light
resonance can be tuned to any wavelength, thus allowing for
operation in the S-, C-, and L-band optical communication
windows.},
Doi = {10.1364/OPN.16.12.000042},
Key = {fds246326}
}

@booklet{Gauthier93,
Author = {Gauthier, DJ},
Title = {Alternate schemes for the coherent laser control of chemical
reactions},
Journal = {Journal of Chemical Physics},
Volume = {99},
Number = {3},
Pages = {1618-1622},
Year = {1993},
ISSN = {0021-9606},
Abstract = {Several schemes are presented for the coherent laser control
of chemical reactions. They are based on the principle of
interference between quantum mechanical excitation pathways
first proposed by Brumer and Shapiro [Acc. Chem. Res. 22,
407 (1989)]. The conclusion that these schemes may by useful
for coherent laser control is based on the fact that, for
each of the schemes, the quantum mechanical interference
effect has been observed previously in nonlinear optical
experiments; however, no attempt to control the interference
was attempted in these experiments. © 1993 American
Institute of Physics.},
Key = {Gauthier93}
}

@booklet{Brown97,
Author = {Brown, WJ and Gardner, JR and Gauthier, DJ and Vilaseca,
R},
Title = {Amplification of laser beams counterpropagating through a
potassium vapor: The effects of atomic coherence},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {56},
Number = {4},
Pages = {3255-3261},
Year = {1997},
Month = {October},
ISSN = {1050-2947},
Doi = {10.1103/PhysRevA.56.3255},
Key = {Brown97}
}

@booklet{Brown97a,
Author = {Brown, WJ and Gardner, JR and Gauthier, DJ and Vilaseca,
R},
Title = {Amplification of laser beams propagating through a
collection of strongly driven, Doppler-broadened two-level
atoms},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {55},
Number = {3},
Pages = {R1601-R1604},
Year = {1997},
Abstract = {We investigate theoretically the amplification of a laser
beam propagating through a collection of Doppler-broadened
two-level atoms driven by an intense counterpropagating
laser beam. Large amplification of the beam is predicted
when the pump-beam Rabi frequency is comparable to the
Doppler width of the atomic transition, even without
including the effects of atomic recoil. The microscopic
origin of the gain can be attributed to the coherent driving
of the atomic dipole moment, suggesting that amplification
and lasing due to collective atomic recoil may be influenced
by this process.},
Key = {Brown97a}
}

@article{fds246236,
Author = {Lin, Y and Ramirez-Giraldo, JC and Gauthier, DJ and Stierstorfer, K and Samei, E},
Title = {An angle-dependent estimation of CT x-ray spectrum from
rotational transmission measurements.},
Journal = {Medical physics},
Volume = {41},
Number = {6},
Pages = {062104},
Year = {2014},
Month = {June},
ISSN = {0094-2405},
url = {http://dx.doi.org/10.1118/1.4876380},
Abstract = {Computed tomography (CT) performance as well as dose and
image quality is directly affected by the x-ray spectrum.
However, the current assessment approaches of the CT x-ray
spectrum require costly measurement equipment and
complicated operational procedures, and are often limited to
the spectrum corresponding to the center of rotation. In
order to address these limitations, the authors propose an
angle-dependent estimation technique, where the incident
spectra across a wide range of angular trajectories can be
estimated accurately with only a single phantom and a single
axial scan in the absence of the knowledge of the bowtie
filter.The proposed technique uses a uniform cylindrical
and positioned in an off-centered geometry. The projection
data acquired with an axial scan have a twofold purpose.
First, they serve as a reflection of the transmission
measurements across different angular trajectories. Second,
they are used to reconstruct the cross sectional image of
the phantom, which is then utilized to compute the
intersection length of each transmission measurement. With
each CT detector element recording a range of transmission
measurements for a single angular trajectory, the spectrum
is estimated for that trajectory. A data conditioning
procedure is used to combine information from hundreds of
collected transmission measurements to accelerate the
estimation speed, to reduce noise, and to improve estimation
stability. The proposed spectral estimation technique was
validated experimentally using a clinical scanner (Somatom
Definition Flash, Siemens Healthcare, Germany) with spectra
provided by the manufacturer serving as the comparison
standard. Results obtained with the proposed technique were
compared against those obtained from a second conventional
transmission measurement technique with two materials (i.e.,
Cu and Al). After validation, the proposed technique was
applied to measure spectra from the clinical system across a
range of angular trajectories [-15°, 15°] and spectrum
settings (80, 100, 120, 140 kVp).At 140 kVp, the proposed
technique was comparable to the conventional technique in
terms of the mean energy difference (MED, -0.29 keV) and the
normalized root mean square difference (NRMSD, 0.84%) from
the comparison standard compared to 0.64 keV and 1.56%,
respectively, with the conventional technique. The average
absolute MEDs and NRMSDs across kVp settings and angular
trajectories were less than 0.61 keV and 3.41%,
respectively, which indicates a high level of estimation
accuracy and stability.An angle-dependent estimation
technique of CT x-ray spectra from rotational transmission
measurements was proposed. Compared with the conventional
technique, the proposed method simplifies the measurement
procedures and enables incident spectral estimation for a
wide range of angular trajectories. The proposed technique
is suitable for rigorous research objectives as well as
routine clinical quality control procedures.},
Doi = {10.1118/1.4876380},
Key = {fds246236}
}

@article{fds246425,
Author = {Schaeffer, DG and Cain, JW and Gauthier, DJ and Kalb, SS and Oliver, RA and Tolkacheva, EG and Ying, W and Krassowska, W},
Title = {An ionically based mapping model with memory for cardiac
restitution.},
Journal = {Bulletin of Mathematical Biology},
Volume = {69},
Number = {2},
Pages = {459-482},
Year = {2007},
Month = {Spring},
ISSN = {0092-8240},
url = {http://www.ncbi.nlm.nih.gov/pubmed/17237915},
Abstract = {Many features of the sequence of action potentials produced
by repeated stimulation of a patch of cardiac muscle can be
modeled by a 1D mapping, but not the full behavior included
in the restitution portrait. Specifically, recent
experiments have found that (i) the dynamic and S1-S2
restitution curves are different (rate dependence) and (ii)
the approach to steady state, which requires many action
potentials (accommodation), occurs along a curve distinct
from either restitution curve. Neither behavior can be
hoc 2D mappings, where the second variable is a "memory"
variable, have been proposed; these models exhibit
qualitative features of the relevant behavior, but a
quantitative fit is not possible. In this paper we introduce
a new 2D mapping and determine a set of parameters for it
that gives a quantitatively accurate description of the full
restitution portrait measured from a bullfrog ventricle. The
mapping can be derived as an asymptotic limit of an
idealized ionic model in which a generalized concentration
acts as a memory variable. This ionic basis clarifies how
the present model differs from previous models. The ionic
basis also provides the foundation for more extensive
cardiac modeling: e.g., constructing a PDE model that may be
used to study the effect of memory on propagation. The
fitting procedure for the mapping is straightforward and can
easily be applied to obtain a mathematical model for data
from other experiments, including experiments on different
species.},
Doi = {10.1007/s11538-006-9116-6},
Key = {fds246425}
}

@article{fds246505,
Author = {Socolar, JES and Gauthier, DJ},
Title = {Analysis and comparison of multiple-delay schemes for
controlling unstable fixed points of discrete
maps},
Journal = {Physical Review E - Statistical Physics, Plasmas, Fluids,
and Related Interdisciplinary Topics},
Volume = {57},
Number = {6},
Pages = {6589-6595},
Year = {1998},
Abstract = {We investigate theoretically the stabilization of a fixed
point of a discrete one-dimensional nonlinear map by
applying small perturbations to an accessible system
parameter or variable. The size of the perturbations is
determined in real time using feedback schemes incorporating
only the dynamical state of the system and its state at
previous iterates without making a comparison to a reference
state. In particular, we compare and contrast two
algorithms: extended time-delay autosynchronization, which
uses an infinite series of past iterates with weights that
decay by a factor of R with each time step, and N-time-delay
autosynchronization, which uses an average of N past
iterates with equal weights. The range of feedback
parameters that successfully stabilize the fixed point and
the robustness of the schemes to noise are determined. It is
found that the domain of control for the two schemes is
similar for appropriately matched values of R and N, and
that N-time-delay autosynchronization tends to be less
sensitive to noise.},
Key = {fds246505}
}

@article{fds246494,
Author = {Tolkacheva, EG and Schaeffer, DG and Gauthier, DJ and Mitchell,
CC},
Title = {Analysis of the Fenton-Karma model through an approximation
by a one-dimensional map.},
Journal = {Chaos},
Volume = {12},
Number = {4},
Pages = {1034-1042},
Year = {2002},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12779627},
Abstract = {The Fenton-Karma model is a simplification of complex ionic
models of cardiac membrane that reproduces quantitatively
many of the characteristics of heart cells; its behavior is
simple enough to be understood analytically. In this paper,
a map is derived that approximates the response of the
Fenton-Karma model to stimulation in zero spatial
dimensions. This map contains some amount of memory,
describing the action potential duration as a function of
the previous diastolic interval and the previous action
potential duration. Results obtained from iteration of the
map and numerical simulations of the Fenton-Karma model are
in good agreement. In particular, the iterated map admits
different types of solutions corresponding to various
dynamical behavior of the cardiac cell, such as 1:1 and 2:1
patterns. (c) 2002 American Institute of
Physics.},
Doi = {10.1063/1.1515170},
Key = {fds246494}
}

@article{fds246274,
Author = {Boyd, RW and Shin, H and Malik, M and O'Sullivan, C and Chan, KWC and Chang, HJ and Gauthier, DJ and Jha, A and Leach, J and Murugkar, S and Rodenburg, B},
Title = {Applications of nonlinear optics in quantum imaging and
quantum communication},
Journal = {Optics InfoBase Conference Papers},
Year = {2011},
Month = {December},
Abstract = {The nonlinear optical process of spontaneous parametric
downconversion is a standard procedure for generating
entangled photons. Entanglement is a crucial resource for
quantum information studies. We describe our recent results
including the application of entangled photons to
superresolution and to quantum communication. NLO/ISOM/ODS
Key = {fds246274}
}

@article{fds246435,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL},
Title = {Applications of slow light in telecommunications},
Journal = {an invited article in Optics and Photonics
News},
Volume = {7},
Number = {4},
Pages = {18},
Year = {2006},
ISSN = {1047-6938},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OPN_slow_light.pdf},
Abstract = {Slow-light techniques hold great promise for application in
many areas of modern photonics, including
telecommunications. Good progress is being made in the
development of new techniques for producing controllable
time delays in optical waveguides based on slow-light
methods. The proposed applications of slow light are for the
progress of optical buffering. Numerical modeling shows that
the performance of a switching network under high traffic
conditions can be dramatically increased through the use of
such buffering. The key parameter of interest for a
slow-light delay line is normalized time delay. A key issue
in all slow-light experiments is finding the maximum
modulation bandwidth that can experience the full slow-light
effect.},
Key = {fds246435}
}

@article{fds304567,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL},
Title = {Applications of slow light in telecommunications},
Journal = {Optics & Photonics News},
Volume = {17},
Number = {4},
Pages = {19-23},
Year = {2006},
ISSN = {1047-6938},
Abstract = {Slow-light techniques hold great promise for application in
many areas of modern photonics, including
telecommunications. Good progress is being made in the
development of new techniques for producing controllable
time delays in optical waveguides based on slow-light
methods. The proposed applications of slow light are for the
progress of optical buffering. Numerical modeling shows that
the performance of a switching network under high traffic
conditions can be dramatically increased through the use of
such buffering. The key parameter of interest for a
slow-light delay line is normalized time delay. A key issue
in all slow-light experiments is finding the maximum
modulation bandwidth that can experience the full slow-light
effect.},
Key = {fds304567}
}

@article{fds246437,
Author = {Dawes, AMC and Illing, L and Clark, SM and Gauthier,
DJ},
Title = {Applied physics: All-optical switching in rubidium
vapor},
Journal = {Science},
Volume = {308},
Number = {5722},
Pages = {672-674},
Year = {2005},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15860622},
Abstract = {We report on an all-optical switch that operates at low
light levels. It consists of laser beams counterpropagating
through a warm rubidium vapor that induce an off-axis
optical pattern. A switching laser beam causes this pattern
to rotate even when the power in the switching beam is much
lower than the power in the pattern. The observed switching
energy density is very low, suggesting that the switch might
operate at the single-photon level with system optimization.
This approach opens the possibility of realizing a
single-photon switch for quantum information networks and
for improving transparent optical telecommunication
networks.},
Doi = {10.1126/science.1110151},
Key = {fds246437}
}

@article{fds246511,
Author = {Blakely, JN and Gauthier, DJ},
Title = {Attractor bubbling in coupled hyperchaotic
oscillators},
Journal = {International Journal of Bifurcation and Chaos in Applied
Sciences and Engineering},
Volume = {10},
Number = {4},
Pages = {835-846},
Year = {2000},
Abstract = {We investigate experimentally attractor bubbling in a system
of two coupled hyperchaotic electronic circuits. The degree
of synchronization over a range of coupling strengths for
two different coupling schemes is measured to identify
bubbling. The circuits display regimes of both attractor
bubbling and high-quality synchronization. For the coupling
scheme where high-quality synchronization is observed, the
transition to bubbling is "soft" and its scaling with
coupling strength near the transition point does not fit
into the known categories of transition types. We also
compare the observed behavior to several proposed criteria
for estimating the regime of high-quality synchronization.
It is found that none of these methods is completely
satisfactory for predicting accurately the regimes of
attractor bubbling and high-quality synchronization.},
Key = {fds246511}
}

@article{fds246219,
Author = {Gauthier, DJ and Haynes, N and Rontani, D and Rosin,
DP},
Title = {Autonomous Boolean networks for experimental network science
and chimera states},
Year = {2014},
Month = {August},
Key = {fds246219}
}

@article{fds44133,
Author = {D.J. Gauthier and M.S. Malcuit and R.W. Boyd},
Title = {Bistability and chaos of counterpropagating laser
beams},
Pages = {395 - 399},
Booktitle = {Coherence and Quantum Optics VI},
Editor = {J.H. Eberly and L. Mandel and E. Wolf},
Year = {1989},
Key = {fds44133}
}

@article{fds44134,
Author = {R.W. Boyd and A.L. Gaeta and D.J. Gauthier and M.S.
Malcuit},
Title = {Bistability and chaotic instabilities of laser beams
counterpropagating through sodium vapor},
Pages = {164 - 166},
Booktitle = {Laser Spectroscopy IX},
Editor = {M.S. Feld and J.E. Thomas and A. Mooradian},
Year = {1989},
Key = {fds44134}
}

@article{fds246404,
Author = {Zhang, R and de S Cavalcante and HLD and Gao, Z and Gauthier, DJ and Socolar, JES and Adams, MM and Lathrop, DP},
Title = {Boolean chaos.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {80},
Number = {4 Pt 2},
Pages = {045202},
Year = {2009},
Month = {October},
url = {http://www.ncbi.nlm.nih.gov/pubmed/19905381},
Abstract = {We observe deterministic chaos in a simple network of
electronic logic gates that are not regulated by a clocking
signal. The resulting power spectrum is ultrawide band,
extending from dc to beyond 2 GHz. The observed behavior is
reproduced qualitatively using an autonomously updating
Boolean model with signal propagation times that depend on
the recent history of the gates and filtering of pulses of
short duration, whose presence is confirmed experimentally.
Electronic Boolean chaos may find application as an
Doi = {10.1103/PhysRevE.80.045202},
Key = {fds246404}
}

@article{fds246283,
Author = {Callan, KE and Illing, L and Gauthier, DJ},
Series = {Reviews in Nonlinear Dynamics and Complexity},
Pages = {317-332},
Booktitle = {Nonlinear Laser Dynamics: From Quantum Dots to
Cryptography},
Publisher = {John Wiley-VCH Verlag},
Editor = {K. Luege},
Year = {2012},
Month = {January},
ISBN = {978-3-527-41100-9},
Doi = {10.1002/9783527639823.ch13},
Key = {fds246283}
}

@article{fds246400,
Author = {Callan, KE and Illing, L and Gao, Z and Gauthier, DJ and Schöll,
E},
Title = {Broadband chaos generated by an optoelectronic
oscillator.},
Journal = {Physical Review Letters},
Volume = {104},
Number = {11},
Pages = {113901},
Year = {2010},
Month = {March},
url = {http://www.ncbi.nlm.nih.gov/pubmed/20366476},
Abstract = {We study an optoelectronic time-delay oscillator that
displays high-speed chaotic behavior with a flat, broad
power spectrum. The chaotic state coexists with a linearly
stable fixed point, which, when subjected to a
finite-amplitude perturbation, loses stability initially via
a periodic train of ultrafast pulses. We derive approximate
mappings that do an excellent job of capturing the observed
instability. The oscillator provides a simple device for
fundamental studies of time-delay dynamical systems and can
be used as a building block for ultrawide-band sensor
networks.},
Doi = {10.1103/PhysRevLett.104.113901},
Key = {fds246400}
}

@article{fds246426,
Author = {Zhu, Z and Dawes, AMC and Gauthier, DJ and Zhang, L and Willner,
AE},
Title = {Broadband SBS slow light in an optical fiber},
Journal = {Journal of Lightwave Technology},
Volume = {25},
Number = {1},
Pages = {201-206},
Year = {2007},
ISSN = {0733-8724},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/JLT25_201_2007.pdf},
Abstract = {In this paper, we investigate slow light via stimulated
Brillouin scattering (SBS) in a room temperature optical
fiber that is pumped by a spectrally broadened laser.
Broadening the spectrum of the pump field increases the
linewidth Δωp of the Stokes amplifying resonance, thereby
increasing the slow-light bandwidth. One physical bandwidth
limitation occurs when the linewidth becomes several times
larger than the Brillouin frequency shift ΩB so that the
anti-Stokes absorbing resonance substantially cancels out
the Stokes amplifying resonance and, hence, the slow-light
effect. We find that partial overlap of the Stokes and
anti-Stokes resonances can actually lead to an enhancement
of the slow-light delay-bandwidth product when Δωp ≃
1.3ΩB. Using this general approach, we increase the
Brillouin slow-light bandwidth to over 12 GHz from its
nominal linewidth of ∼ 30 MHz obtained for monochromatic
pumping. We controllably delay 75-ps-long pulses by up to 47
ps and study the data-pattern dependence of the broadband
SBS slow-light system. © 2007 IEEE.},
Doi = {10.1109/JLT.2006.887188},
Key = {fds246426}
}

@article{fds246209,
Author = {Zhang, B and Yan, LS and Zhang, L and Willner, AE and Zhu, Z and Gauthier,
DJ},
Title = {Broadband SBS slow light using simple spectrally-sliced
pumping},
Journal = {2007 33rd European Conference and Exhibition of Optical
Communication, ECOC 2007},
Year = {2007},
Month = {January},
ISBN = {9783800730421},
Abstract = {We demonstrate broadband SBS slow-light using
spectrally-sliced pumping. Both 2.5-Gb/s NRZ-OOK and
NRZ-DPSK signals are delayed by maximum 170-ps with 4-dB
power-penalty. Periodic spectrally-sliced multi-channel
pumping scheme is proposed within a single slow-light
medium.},
Key = {fds246209}
}

@article{fds246267,
Author = {Zhang, R and Zhu, Y and Wang, J and Gauthier, DJ},
Title = {Broadband slow light with a swept-frequency
source},
Journal = {Optics InfoBase Conference Papers},
Year = {2010},
Month = {December},
Abstract = {We demonstrate a pulse delay of 1.5 ns over a wide bandwidth
via stimulated Brillouin scattering in an optical fiber
pumped by a swept source with a sweep rate of 20 MHz/μs. ©
2010 Optical Society of America.},
Key = {fds246267}
}

@article{fds246387,
Author = {Greenberg, JA and Schmittberger, BL and Gauthier,
DJ},
Title = {Bunching-induced optical nonlinearity and instability in
cold atoms [Invited].},
Journal = {Optics express},
Volume = {19},
Number = {23},
Pages = {22535-22549},
Year = {2011},
Month = {November},
url = {http://www.ncbi.nlm.nih.gov/pubmed/22109132},
Abstract = {We report a new nonlinear optical process that occurs in a
cloud of cold atoms at low-light-levels when the incident
optical fields simultaneously polarize, cool, and
spatially-organize the atoms. We observe an extremely large
effective fifth-order nonlinear susceptibility of χ(⁵) =
7.6 × 10⁻¹⁵ (m/V)⁴, which results in efficient Bragg
scattering via six-wave mixing, slow group velocities (∼
c/10⁵), and enhanced atomic coherence times (> 100 μs).
In addition, this process is particularly sensitive to the
atomic temperatures, and provides a new tool for in-situ
monitoring of the atomic momentum distribution in an optical
lattice. For sufficiently large light-matter couplings, we
observe an optical instability for intensities as low as ∼
1 mW/cm² in which new, intense beams of light are generated
and result in the formation of controllable transverse
optical patterns.},
Key = {fds246387}
}

@article{fds246411,
Author = {Zhao, X and Schaeffer, DG and Berger, CM and Krassowska, W and Gauthier,
DJ},
Title = {Cardiac alternans arising from an unfolded border-collision
bifurcation},
Journal = {Journal of Computational and Nonlinear Dynamics},
Volume = {3},
Number = {4},
Pages = {223-232},
Year = {2008},
ISSN = {1555-1423},
Abstract = {Following an electrical stimulus, the transmembrane voltage
of cardiac tissue rises rapidly and remains at a constant
value before returning to the resting value, a phenomenon
known as an action potential. When the pacing rate of a
periodic train of stimuli is increased above a critical
value, the action potential undergoes a period-doubling
bifurcation, where the resulting alternation of the action
potential duration is known as alternans in medical
literature. Existing cardiac models treat alternans either
as a smooth or as a border-collision bifurcation. However,
recent experiments in paced cardiac tissue reveal that the
bifurcation to altemans exhibits hybrid smooth/honsmooth
behaviors, which can be qualitatively described by a model
of so-called unfolded border-collision bifurcation. In this
paper we obtain analytical solutions of the unfolded
border-collision model and use it to explore the crossover
between smooth and nonsmooth behaviors. Our analysis shows
that the hybrid smooth/nonsmooth behavior is due to large
variations in the system's properties over a small interval
of the biurcation parameter, providing guidance for the
ASME.},
Doi = {10.1115/1.2960467},
Key = {fds246411}
}

@article{fds311269,
Author = {Zhao, X and Schaeffer, DG and Berger, CM and Krassowska, W and Gauthier,
DJ},
Title = {Cardiac alternans arising from an unfolded border-collision
bifurcation},
Journal = {2007 Proceedings of the ASME International Design
Engineering Technical Conferences and Computers and
Information in Engineering Conference, DETC2007},
Volume = {5 PART A},
Pages = {223-232},
Year = {2008},
url = {http://dx.doi.org/10.1115/DETC2007-35304},
Abstract = {Following an electrical stimulus, the transmembrane voltage
of cardiac tissue rises rapidly and remains at a constant
value before returning to the resting value, a phenomenon
known as an action potential. When the pacing rate of a
periodic train of stimuli is increased above a critical
value, the action potential undergoes a period-doubling
bifurcation, where the resulting alternation of the action
potential duration is known as alternans in the medical
literature. In principle, a period-doubling bifurcation may
occur through either a smooth or a nonsmooth mechanism.
Previous experiments reveal that the bifurcation to
alternans exhibits hybrid smooth/nonsmooth behaviors, which
is due to large variations in the system's properties over a
small interval of bifurcation parameter. To reproduce the
experimentally observed hybrid behaviors, we have developed
a model of alternans that exhibits an unfolded
border-collision bifurcation. Excellent agreement between
simulation of the model and experimental data suggests that
features of the unfolded border-collision model should be
ASME.},
Doi = {10.1115/DETC2007-35304},
Key = {fds311269}
}

@article{fds246393,
Author = {Jeong, H and Dawes, AMC and Gauthier, DJ},
Title = {Carrier-frequency dependence of a step-modulated pulse
propagating through a weakly dispersive single
narrow-resonance absorber},
Journal = {Journal of Modern Optics},
Volume = {58},
Number = {10},
Pages = {865-872},
Year = {2011},
ISSN = {0950-0340},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/JModOpt58_865_2011.pdf},
Abstract = {We observe interference between the optical precursors and
the main signal for small optical depth α0L∼1, in which
the main signal cannot be entirely absorbed. Since the main
signal oscillates at the carrier frequency of the input
pulse and precursors oscillate at medium resonance
frequency, in our case carrier frequency dependence of the
total transmitted field is observed as a form of modulation
patterns oscillating at the detuning frequency. To
distinguish between the Sommerfeld and Brillouin precursors
for the case of weakly dispersive off-resonance medium, we
utilize asymptotic precursor theory under the assumption of
small detuning. © 2011 Taylor &amp; Francis.},
Doi = {10.1080/09500340.2011.575961},
Key = {fds246393}
}

@article{fds246350,
Author = {Boyd, RW and Gauthier, DJ and Narum, P},
Title = {Causality in superluminal pulse propagation},
Journal = {Lecture Notes in Physics},
Volume = {789},
Pages = {175-204},
Booktitle = {an invited chapter in Time in Quantum Mechanics
II},
Publisher = {Springer},
Editor = {G. Muga and A. Ruschhaupt and A. del Campo},
Year = {2009},
ISSN = {0075-8450},
url = {http://dx.doi.org/10.1007/978-3-642-03174-8_7},
Abstract = {We have reviewed recent theoretical and experimental
research that establishes that pulses can propagate through
material systems with superluminal or even negative group
velocities. Nonetheless, these exotic propagation effects
are fully compatible with established notion of causality.
At a fundamental level, the nature of slow and fast light
seems fairly well understood. But there still may be some
surprises on the horizon.We noted in the body of this
chapter that there seems to be no fundamental limit on how
much one can delay a light pulse using slow-light methods,
and in fact pulse delays as great as 80 pulse lengths have
been observed [29]. Conversely, there seem to be severe
limitations that limit the amount of advancement for a
fast-light system to at most several pulse widths [71].1 But
can these limitations be overcome? This is an intriguing
question that merits further examination. © 2010
Springer-Verlag Berlin Heidelberg.},
Doi = {10.1007/978-3-642-03174-8_7},
Key = {fds246350}
}

@article{fds246384,
Author = {Zheng, H and Gauthier, DJ and Baranger, HU},
Title = {Cavity-free photon blockade induced by many-body bound
states.},
Journal = {Physical Review Letters},
Volume = {107},
Number = {22},
Pages = {223601},
Year = {2011},
Month = {November},
url = {http://www.ncbi.nlm.nih.gov/pubmed/22182028},
Abstract = {The manipulation of individual, mobile quanta is a key goal
of quantum communication; to achieve this, nonlinear
phenomena in open systems can play a critical role. We show
theoretically that a variety of strong quantum nonlinear
phenomena occur in a completely open one-dimensional
waveguide coupled to an N-type four-level system. We focus
on photon blockade and the creation of single-photon states
in the absence of a cavity. Many-body bound states appear
due to the strong photon-photon correlation mediated by the
four-level system. These bound states cause photon blockade,
which can generate a sub-Poissonian single-photon
source.},
Doi = {10.1103/PhysRevLett.107.223601},
Key = {fds246384}
}

@article{fds246503,
Author = {Gauthier, DJ},
Title = {Chaos comes again},
Journal = {Science},
Volume = {279},
Number = {5354},
Pages = {1156},
Year = {1998},
url = {http://dx.doi.org/10.1126/science.279.5354.1156},
Doi = {10.1126/science.279.5354.1156},
Key = {fds246503}
}

@article{fds304570,
Author = {Gauthier, DJ},
Title = {Chaos has come again},
Journal = {Science},
Volume = {279},
Number = {5354},
Pages = {1156-1157},
Year = {1998},
url = {http://dx.doi.org/10.1126/science.279.5354.1156},
Doi = {10.1126/science.279.5354.1156},
Key = {fds304570}
}

@article{fds246314,
Author = {Gauthier, DJ},
Title = {Chapter 4Two-photon lasers},
Journal = {Progress in Optics},
Volume = {45},
Number = {C},
Pages = {205-272},
Year = {2003},
ISSN = {0079-6638},
url = {http://dx.doi.org/10.1016/S0079-6638(03)80006-9},
Doi = {10.1016/S0079-6638(03)80006-9},
Key = {fds246314}
}

@article{fds246311,
Author = {Boyd, RW and Gauthier, DJ},
Title = {Chapter 6 "Slow" and "fast" light},
Journal = {Progress in Optics},
Volume = {43},
Number = {C},
Pages = {497-530},
Year = {2002},
ISSN = {0079-6638},
url = {http://dx.doi.org/10.1016/S0079-6638(02)80030-0},
Doi = {10.1016/S0079-6638(02)80030-0},
Key = {fds246311}
}

@article{fds246307,
Author = {Gauthier, DJ and Bahar, S and Hall, GM},
Title = {Chapter 7 Controlling the dynamics of cardiac muscle using
small electrical stimuli},
Journal = {Handbook of Biological Physics},
Volume = {4},
Number = {C},
Pages = {229-255},
Year = {2001},
ISSN = {1383-8121},
url = {http://dx.doi.org/10.1016/S1383-8121(01)80010-5},
Doi = {10.1016/S1383-8121(01)80010-5},
Key = {fds246307}
}

@article{fds246364,
Author = {Gardner, JR and Brown, WJ and Gauthier, DJ and Vilaseca,
R},
Title = {Collective atomic recoil and dressed-state
resonances},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {12},
Pages = {218-},
Year = {1997},
Abstract = {Laser beam amplification in strongly driven potassium atoms
is investigated. The pump and probe beams are tuned near the
4S1/2→4P1/2(D1) transition and have linear, orthogonal
polarizations. The probe beam amplification as a function of
the probe-pump detuning curve is similar to that observed by
Hemmer et al. The dependence of the amplification on the
pump-beam intensity and tuning, and on the presence of
helium or nitrogen buffer gas, is discussed.},
Key = {fds246364}
}

@article{fds246372,
Author = {Gauthier, DJ},
Title = {Comment on "Generalized grating equation for virtually
imaged phased-array spectral dispersers".},
Journal = {Applied Optics},
Volume = {51},
Number = {34},
Pages = {8184-8186},
Year = {2012},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23207388},
Abstract = {I correct an error made by Vega et al. [Appl. Opt. 42, 4152
(2003)], who derived the spectral dispersion properties of a
virtually imaged phased-array etalon using a ray-based,
multibounce interference analysis. I demonstrate that the
corrected dispersion law is in agreement with the results
obtained by paraxial wave theory [Xiao et al., IEEE J.
Quantum Electron.40, 420 (2004)].},
Key = {fds246372}
}

@booklet{Gauthier97,
Author = {Gauthier, DJ and Socolar, JES},
Title = {Comment on Dynamic Control of Cardiac Alternans},
Journal = {Physical Review Letters},
Volume = {79},
Number = {24},
Pages = {4938},
Year = {1997},
ISSN = {0031-9007},
Doi = {10.1103/PhysRevLett.79.4938},
Key = {Gauthier97}
}

@article{fds329841,
Author = {Shea, ME and Gauthier, DJ},
Title = {Comment on “Nondestructive light-shift measurements of
single atoms in optical dipole traps”},
Journal = {Physical Review A},
Volume = {96},
Number = {2},
Year = {2017},
Month = {August},
url = {http://dx.doi.org/10.1103/PhysRevA.96.027401},
Doi = {10.1103/PhysRevA.96.027401},
Key = {fds329841}
}

@booklet{Boyd87,
Author = {Boyd, RW and Malcuit, MS and Gauthier, DJ and Rzaewski,
K},
Title = {Competition between amplified spontaneous emission and the
four-wave-mixing process},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {35},
Number = {4},
Pages = {1648-1658},
Year = {1987},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.35.1648},
Abstract = {Competition between amplified spontaneous emission (ASE) and
the four-wave-mixing (FWM) process has been observed under
conditions of two-photon resonant excitation of the sodium
3d level. The nature of the competition is that the FWM
process is able to prevent the occurrence of ASE, even
though the gain of the ASE process calculated in the absence
of competition effects is much larger than that of FWM. The
ASE is suppressed because the fields generated by the FWM
process create a new excitation pathway connecting the
ground and 3d levels, and under quite general conditions
this pathway interferes destructively with that due solely
to the applied laser field. These effects are modeled
theoretically by solving perturbatively the density-matrix
equations of the atomic system, thereby determining the
population in the upper level and the nonlinear polarization
of the medium. The coupling between the various optical
fields due to the nonlinear polarization is described by
coupled amplitude equations. The solution to these equations
predicts that when the wave-vector mismatch is not too large
the fields evolve spatially to reach steady-state values,
and that the population excited to the 3d level by the total
steady-state optical field is much smaller than that due to
the incident laser field alone. We have observed
experimentally the suppression of ASE by FWM and have
observed that this suppression does not occur when the
medium is excited with counterpropagating beams that cannot
efficiently excite the FWM process. In addition, we have
conducted a series of experiments that shows that the degree
of suppression of ASE depends on the intensity and focusing
characteristics of the incident laser as expected on the
basis of our theoretical model. © 1987 The American
Physical Society.},
Doi = {10.1103/PhysRevA.35.1648},
Key = {Boyd87}
}

@article{fds246430,
Author = {Agarwal, GS and Dey, TN and Gauthier, DJ},
Title = {Competition between electromagnetically induced transparency
and Raman processes},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {74},
Number = {4},
Pages = {043805},
Year = {2006},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA74_043805_2006.pdf},
Abstract = {We present a theoretical formulation of the competition
between electromagnetically induced transparency (EIT) and
Raman processes. The latter become important when the medium
can no longer be considered to be dilute. Unlike the
standard formulation of EIT, we consider all fields applied
and generated as interacting with both the transitions of
the Î scheme. We solve the Maxwell equations for the net
generated field using a fast-Fourier-transform technique and
obtain predictions for the probe, control, and Raman fields.
We show how the intensity of the probe field is depleted at
higher atomic number densities due to the buildup of
multiple Raman fields. Furthermore, we find that the
generated fields and the input fields acquire oscillatory
behavior as a function of the density of the medium due to
dynamical coupling of the various Raman processes. © 2006
The American Physical Society.},
Doi = {10.1103/PhysRevA.74.043805},
Key = {fds246430}
}

@booklet{Malcuit87,
Author = {Malcuit, MS and Gauthier, DJ and Boyd, RW},
Title = {Competition between four-wave mixing and amplified
spontaneous emission},
Journal = {Hyperfine Interactions},
Volume = {37},
Number = {1-4},
Pages = {125-139},
Year = {1987},
ISSN = {0304-3843},
url = {http://dx.doi.org/10.1007/BF02395707},
Abstract = {There has recently been considerable interest in nonlinear
optical interactions in which two different processes
compete with one another. In this paper, we review some
recent work in this area, and describe the results of our
own investigation of competition between four-wave mixing
and amplified spontaneous emission. We find that under
two-photon excitation of the sodium 3d level, new optical
frequency components can be generated either by amplified
spontaneous emission at the 3d→3p transition frequency or
by a resonantly enhanced four-wave mixing process. We have
observed competition between these two processes, resulting
in the suppression of amplified spontaneous emission. The
transfer of population to the 3d level is inhibited by the
destructive interference between two different pathways
connecting the ground and upper levels. © 1987 J.C. Baltzer
A.G. Scientific Publishing Company.},
Doi = {10.1007/BF02395707},
Key = {Malcuit87}
}

@article{fds246398,
Author = {Zhu, Y and Cabrera-Granado, E and Calderon, OG and Melle, S and Okawachi, Y and Gaeta, AL and Gauthier, DJ},
Title = {Competition between the modulation instability and
stimulated Brillouin scattering in a broadband slow light
device},
Journal = {Journal of Optics A: Pure and Applied Optics},
Volume = {12},
Number = {10},
Pages = {104019},
Year = {2010},
ISSN = {2040-8978},
url = {http://hdl.handle.net/10161/5082 Duke open
access},
Abstract = {We observe competition between the modulation instability
(MI) and stimulated Brillouin scattering (SBS) in a 9.2 GHz
broadband SBS slow light device, in which a standard 20 km
long single-mode LEAF fibre is used as the SBS medium. We
find that MI is dominant and depletes most of the pump power
when we use an intense pump beam at ∼1.55 μm, where the
LEAF fibre is anomalously dispersive. The dominance of the
MI in the LEAF-fibre-based system suppresses the SBS gain,
degrading the SBS slow light delay and limiting the SBS
gain-bandwidth to 125 dB GHz. In a dispersion-shifted highly
nonlinear fibre, the SBS slow light delay is improved due to
the suppression of the MI, resulting in a gain-bandwidth
product of 344 dB GHz, limited by our available pump power
of 0.82 W. © 2010 IOP Publishing Ltd.},
Doi = {10.1088/2040-8978/12/10/104019},
Key = {fds246398}
}

@article{fds44132,
Author = {M.S. Malcuit and D.J. Gauthier and J.J. Maki and R.W.
Boyd},
Title = {Competition effects among nolinear optical
processes},
Booktitle = {Laser Spectroscopy VIII},
Publisher = {Springer-Verlag, Berlin},
Editor = {W. Persson and S. Svanberg},
Year = {1987},
Key = {fds44132}
}

@article{fds304563,
Author = {Tolkacheva, EG and Romeo, MM and Guerraty, M and Gauthier,
DJ},
Title = {Condition for alternans and its control in a two-dimensional
mapping model of paced cardiac dynamics},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {69},
Number = {3},
Pages = {031904},
Year = {2004},
Month = {March},
ISSN = {1539-3755},
Abstract = {We investigate a two-dimensional mapping model of a paced,
isolated cardiac cell that relates the duration of the
action potential to the two preceding diastolic intervals as
well as the preceding action potential duration. The model
displays rate-dependent restitution and hence memory. We
derive a criterion for the stability of the 1:1 response
pattern displayed by the model. This criterion can be
written in terms of experimentally measured quantities-the
slopes of restitution curves obtained via different pacing
protocols. In addition, we analyze the two-dimensional
mapping model in the presence of closed-loop feedback
control. The control is initiated by making small
adjustments to the pacing interval in order to suppress
alternans and stabilize the 1:1 pattern. We find that the
domain of control does not depend on the functional form of
the map, and, in the general case, is characterized by a
combination of the slopes. We show that the gain gamma
necessary to establish control may vary significantly
depending on the value of the slope of the so-called
standard restitution curve (herein denoted as S12), but that
the product gammaS12 stays approximately in the same
range.},
Key = {fds304563}
}

@article{fds246441,
Author = {Tolkacheva, EG and Romeo, MM and Guerraty, M and Gauthier,
DJ},
Title = {Condition for alternans and its control in a two-dimensional
mapping model of paced cardiac dynamics.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {69},
Number = {3 Pt 1},
Pages = {031904},
Year = {2004},
Month = {March},
ISSN = {1539-3755},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15089319},
Abstract = {We investigate a two-dimensional mapping model of a paced,
isolated cardiac cell that relates the duration of the
action potential to the two preceding diastolic intervals as
well as the preceding action potential duration. The model
displays rate-dependent restitution and hence memory. We
derive a criterion for the stability of the 1:1 response
pattern displayed by the model. This criterion can be
written in terms of experimentally measured quantities-the
slopes of restitution curves obtained via different pacing
protocols. In addition, we analyze the two-dimensional
mapping model in the presence of closed-loop feedback
control. The control is initiated by making small
adjustments to the pacing interval in order to suppress
alternans and stabilize the 1:1 pattern. We find that the
domain of control does not depend on the functional form of
the map, and, in the general case, is characterized by a
combination of the slopes. We show that the gain gamma
necessary to establish control may vary significantly
depending on the value of the slope of the so-called
standard restitution curve (herein denoted as S12), but that
the product gammaS12 stays approximately in the same
range.},
Doi = {10.1103/PhysRevE.69.031904},
Key = {fds246441}
}

@article{fds304564,
Author = {Tolkacheva, EG and Schaeffer, DG and Gauthier, DJ and Krassowska,
W},
Title = {Condition for alternans and stability of the 1:1 response
pattern in a "memory" model of paced cardiac
dynamics},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {67},
Number = {3},
Pages = {031904},
Year = {2003},
Month = {March},
ISSN = {1539-3755},
Abstract = {We analyze a mathematical model of paced cardiac muscle
consisting of a map relating the duration of an action
potential to the preceding diastolic interval as well as the
preceding action potential duration, thereby containing some
degree of "memory." The model displays rate-dependent
restitution so that the dynamic and S1-S2 restitution curves
are different, a manifestation of memory in the model. We
derive a criterion for the stability of the 1:1 response
pattern displayed by this model. It is found that the
stability criterion depends on the slope of both the dynamic
and S1-S2 restitution curves, and that the pattern can be
stable even when the individual slopes are greater or less
than one. We discuss the relation between the stability
criterion and the slope of the constant-BCL restitution
curve. The criterion can also be used to determine the
bifurcation from the 1:1 response pattern to alternans. We
demonstrate that the criterion can be evaluated readily in
experiments using a simple pacing protocol, thus
establishing a method for determining whether actual
myocardium is accurately described by such a mapping model.
We illustrate our results by considering a specific map
recently derived from a three-current membrane model and
find that the stability of the 1:1 pattern is accurately
described by our criterion. In addition, a numerical
experiment is performed using the three-current model to
illustrate the application of the pacing protocol and the
evaluation of the criterion.},
Key = {fds304564}
}

@article{fds246493,
Author = {Tolkacheva, EG and Schaeffer, DG and Gauthier, DJ and Krassowska,
W},
Title = {Condition for alternans and stability of the 1:1 response
pattern in a "memory" model of paced cardiac
dynamics.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {67},
Number = {3 Pt 1},
Pages = {031904},
Year = {2003},
Month = {March},
ISSN = {1539-3755},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12689098},
Abstract = {We analyze a mathematical model of paced cardiac muscle
consisting of a map relating the duration of an action
potential to the preceding diastolic interval as well as the
preceding action potential duration, thereby containing some
degree of "memory." The model displays rate-dependent
restitution so that the dynamic and S1-S2 restitution curves
are different, a manifestation of memory in the model. We
derive a criterion for the stability of the 1:1 response
pattern displayed by this model. It is found that the
stability criterion depends on the slope of both the dynamic
and S1-S2 restitution curves, and that the pattern can be
stable even when the individual slopes are greater or less
than one. We discuss the relation between the stability
criterion and the slope of the constant-BCL restitution
curve. The criterion can also be used to determine the
bifurcation from the 1:1 response pattern to alternans. We
demonstrate that the criterion can be evaluated readily in
experiments using a simple pacing protocol, thus
establishing a method for determining whether actual
myocardium is accurately described by such a mapping model.
We illustrate our results by considering a specific map
recently derived from a three-current membrane model and
find that the stability of the 1:1 pattern is accurately
described by our criterion. In addition, a numerical
experiment is performed using the three-current model to
illustrate the application of the pacing protocol and the
evaluation of the criterion.},
Doi = {10.1103/PhysRevE.67.031904},
Key = {fds246493}
}

@booklet{Boyd84,
Author = {R.W. Boyd and D.J. Gauthier and J. Krasinski and M.S.
Malcuit},
Title = {Continuously tunable sum-frequency generation involving
rydberg states},
Series = {AIP Conference Proceedings},
Number = {119},
Pages = {356 -- 360},
Booktitle = {Laser Techniques in the Extreme Ultraviolet},
Publisher = {American Institute of Physics, New York},
Editor = {S.E. Harris and T.B. Lucatorto},
Year = {1984},
Key = {Boyd84}
}

@article{fds318448,
Author = {Boyd, RW and Gauthier, DJ and Krasinski, J and Malcuit,
MS},
Title = {CONTINUOUSLY TUNABLE SUM-FREQUENCY GENERATION INVOLVING
SODIUM RYDBERG STATES.},
Pages = {93-94},
Year = {1984},
Key = {fds318448}
}

@booklet{Boyd84a,
Author = {Boyd, RW and Gauthier, DJ and Krasinski, J and Malcuit,
MS},
Title = {CONTINUOUSLY TUNABLE SUM-FREQUENCY GENERATION INVOLVING
SODIUM RYDBERG STATES.},
Journal = {IEEE Journal of Quantum Electronics},
Volume = {QE-20},
Number = {9},
Pages = {1074-1078},
Year = {1984},
url = {http://dx.doi.org/10.1109/JQE.1984.1072522},
Abstract = {Broadly tunable sum-frequency generation has been observed
in a vapor of atomic sodium in the presence of a dc electric
field. This field induces a chi **(**2**) nonlinearity which
is resonantly enhanced when the sum frequency corresponds to
the energy separation between the ground state and an atomic
Rydberg state. In a vapor of number density 4 multiplied by
10**1**4 cm** minus **3, we obtain an energy conversion
efficiency as large as 3 multiplied by 10** minus **4 and a
chi **(**2**) as large as 1. 2 multiplied by 10** minus **8
ESU. We have also observed sum-frequency generation in the
absence of an applied dc field, and we relate these
observations to mechanisms that are proposed to explain this
effect.},
Doi = {10.1109/JQE.1984.1072522},
Key = {Boyd84a}
}

@article{fds246501,
Author = {Tolkacheva, EG and Romeo, MM and Gauthier, DJ},
Title = {Control of cardiac alternans in a mapping model with
memory},
Journal = {Physica D: Nonlinear Phenomena},
Volume = {194},
Number = {3-4},
Pages = {385-391},
Year = {2004},
Abstract = {A generic feature of cardiac muscle is that the duration of
an action potential depends on the long-term history of
previous action potentials, known as cardiac 'memory'. Even
though memory is known to be an important physiological
response, there have only been limited studies of its effect
on cardiac dynamics. Here, we investigate a map-based model
of paced myocardium in the presence of closed-loop feedback
control. The model relates the duration of an action
potential to the preceding diastolic interval as well as the
preceding action potential duration and thus has some degree
of memory. We find that the range of parameters over which
control is effective can be enlarged or reduced by memory, a
prediction that is independent of the specific functional
form of the map. Our work suggests that modifying the degree
of memory (e.g., pharmacological agents) with some form of
feedback control may be an effective strategy for the
maintenance of normal cardiac function. © 2004 Elsevier
Doi = {10.1016/j.physd.2004.03.008},
Key = {fds246501}
}

@article{fds246415,
Author = {Berger, CM and Cain, JW and Socolar, JES and Gauthier,
DJ},
Title = {Control of electrical alternans in simulations of paced
myocardium using extended time-delay autosynchronization.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {76},
Number = {4 Pt 1},
Pages = {041917},
Year = {2007},
Month = {Fall},
ISSN = {1539-3755},
url = {http://www.ncbi.nlm.nih.gov/pubmed/17995036},
Abstract = {Experimental studies have linked alternans, an abnormal
beat-to-beat alternation of cardiac action potential
duration, to the genesis of lethal arrhythmias such as
ventricular fibrillation. Prior studies have considered
various closed-loop feedback control algorithms for
perturbing interstimulus intervals in such a way that
alternans is suppressed. However, some experimental cases
are restricted in that the controller's stimuli must preempt
those of the existing waves that are propagating in the
tissue, and therefore only shortening perturbations to the
underlying pacing are allowed. We present results
demonstrating that a technique known as extended time-delay
autosynchronization (ETDAS) can effectively control
alternans locally while operating within the above
constraints. We show that ETDAS, which has already been used
to control chaos in physical systems, has numerous
advantages over previously proposed alternans control
schemes.},
Doi = {10.1103/PhysRevE.76.041917},
Key = {fds246415}
}

@article{fds246292,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ and Schöll,
E},
Title = {Control of synchronization patterns in neural-like Boolean
networks.},
Journal = {Physical Review Letters},
Volume = {110},
Number = {10},
Pages = {104102},
Year = {2013},
Month = {March},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23521258},
Abstract = {We study experimentally the synchronization patterns in
time-delayed directed Boolean networks of excitable systems.
We observe a transition in the network dynamics when the
refractory time of the individual systems is adjusted. When
the refractory time is on the same order of magnitude as the
time delays, cluster synchronization patterns change, or are
suppressed entirely, respectively. We also show that these
transitions occur when we change the properties of only a
small number of driver nodes identified by their larger in
degree; hence, the synchronization patterns can be
controlled locally by these nodes. Our findings have
implications for synchronization in biological neural
networks.},
Doi = {10.1103/PhysRevLett.110.104102},
Key = {fds246292}
}

@article{fds246383,
Author = {Zhang, R and Greenberg, JA and Fischer, MC and Gauthier,
DJ},
Title = {Controllable ultrabroadband slow light in a warm rubidium
vapor},
Journal = {Journal of the Optical Society of America
B},
Volume = {28},
Number = {11},
Pages = {2578-2583},
Year = {2011},
ISSN = {0740-3224},
url = {http://hdl.handle.net/10161/5105 Duke open
access},
Abstract = {We study ultrabroadband slow light in a warm rubidium vapor
cell. By working between the D1 and D2 transitions, we find
a several-nanometer window centered at 788:4nm in which the
group index is highly uniform and the absorption is small
(&lt;1%). We demonstrate that we can control the group delay
by varying the temperature of the cell, and we observe a
tunable fractional delay of 18 for pulses as short as 250 fs
(6:9nm bandwidth) with a fractional broadening of only 0.65
and a power leakage of 55%. We find that a simple
theoretical model is in excellent agreement with the
experimental results. Using this model, we discuss the
impact of the pulse's spectral characteristics on the
distortion it incurs during propagation through the vapor.
© 2011 Optical Society of America.},
Doi = {10.1364/JOSAB.28.002578},
Key = {fds246383}
}

@article{fds246304,
Author = {Sukow, DW and Bleich, ME and Gauthier, DJ and Socolar,
JES},
Title = {Controlling chaos in a fast diode resonator using extended
time-delay autosynchronization: Experimental observations
and theoretical analysis.},
Journal = {Chaos},
Volume = {7},
Number = {4},
Pages = {560-576},
Year = {1997},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12779682},
Abstract = {We stabilize unstable periodic orbits of a fast diode
resonator driven at 10.1 MHz (corresponding to a drive
period under 100 ns) using extended time-delay
autosynchronization. Stabilization is achieved by feedback
of an error signal that is proportional to the difference
between the value of a state variable and an infinite series
of values of the state variable delayed in time by integral
multiples of the period of the orbit. The technique is easy
to implement electronically and it has an all-optical
counterpart that may be useful for stabilizing the dynamics
of fast chaotic lasers. We show that increasing the weights
given to temporally distant states enlarges the domain of
control and reduces the sensitivity of the domain of control
on the propagation delays in the feedback loop. We determine
the average time to obtain control as a function of the
feedback gain and identify the mechanisms that destabilize
the system at the boundaries of the domain of control. A
theoretical stability analysis of a model of the diode
resonator in the presence of time-delay feedback is in good
agreement with the experimental results for the size and
shape of the domain of control. (c) 1997 American Institute
of Physics.},
Doi = {10.1063/1.166256},
Key = {fds246304}
}

@article{fds246454,
Author = {Sukow, DW and Bleich, ME and Gauthier, DJ and Socolar,
JES},
Title = {Controlling chaos in fast dynamical systems: Experimental
results and theoretical analysis},
Journal = {and Invited article in Chaos},
Volume = {7},
Pages = {560},
Year = {1997},
Key = {fds246454}
}

@article{fds246303,
Author = {Gauthier, DJ and Sukow, DW},
Title = {Controlling chaos in fast optical systems},
Journal = {Conference Proceedings - Lasers and Electro-Optics Society
Annual Meeting-LEOS},
Volume = {1},
Pages = {33-34},
Year = {1995},
Abstract = {Chaotic systems can be stabilized by applying only small
perturbations to some accessible system parameter. The OGY
scheme and its variations have been used successfully to
control the dynamics of lasers. This paper describes
alternative implementations of the OGY scheme that
efficiently stabilize the unstable periodic orbits (UPO's)
and unstable steady-states (USS's) of fast dynamical systems
using small perturbations. The schemes are well suited for
controlling instabilities in high-speed optical systems such
as diode lasers.},
Key = {fds246303}
}

@article{fds246499,
Author = {Blakely, JN and Illing, L and Gauthier, DJ},
Title = {Controlling fast chaos in delay dynamical
systems.},
Journal = {Physical Review Letters},
Volume = {92},
Number = {19},
Pages = {193901},
Year = {2004},
Month = {May},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15169402},
Abstract = {We introduce a novel approach for controlling fast chaos in
time-delay dynamical systems and use it to control a chaotic
photonic device with a characteristic time scale of
approximately 12 ns. Our approach is a prescription for how
to implement existing chaos-control algorithms in a way that
exploits the system's inherent time delay and allows control
even in the presence of substantial control-loop latency
(the finite time it takes signals to propagate through the
components in the controller). This research paves the way
for applications exploiting fast control of chaos, such as
chaos-based communication schemes and stabilizing the
behavior of ultrafast lasers.},
Doi = {10.1103/PhysRevLett.92.193901},
Key = {fds246499}
}

@article{fds246278,
Author = {Illing, L and Gauthier, DJ and Blakely, JN},
Title = {Controlling Fast Chaos in Optoelectronic Delay Dynamical
Systems},
Pages = {405-425},
Booktitle = {Handbook of Chaos Control, 2nd Ed.},
Publisher = {WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim,
Germany},
Editor = {E. Schöll and H. G. Schuster},
Year = {2008},
Month = {May},
ISBN = {978-3-527-40605-0},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/IllingChaosHandbookPreprint2006.pdf},
Doi = {10.1002/9783527622313.ch19},
Key = {fds246278}
}

@article{fds246504,
Author = {Gauthier, DJ},
Title = {Controlling lasers by use of extended time-delay
autosynchronization},
Journal = {Optics Letters},
Volume = {23},
Number = {9},
Pages = {703-705},
Year = {1998},
Abstract = {A method is described for suppressing chaotic instabilities
in lasers by use of a specific form of controlling-chaos
feedback. The technique is easy to implement and requires
only application of small perturbations to an accessible
system parameter or variable. © 1998 Optical Society of
America.},
Key = {fds246504}
}

@article{fds246337,
Author = {Illing, L and Gauthier, DJ and Roy, R},
Title = {Controlling optical chaos, spatio-temporal dynamics, and
patterns},
Journal = {Advances in Atomic, Molecular and Optical
Physics},
Volume = {54},
Number = {C},
Pages = {615-697},
Booktitle = {in Advanced in Atomic, Molecular, and Optical Physics (an
invited chapter)},
Publisher = {Elsevier},
Editor = {P.R Berman and E. Arimondo and C. Lin},
Year = {2007},
ISSN = {1049-250X},
Abstract = {We describe how small perturbations applied to optical
systems can be used to suppress or control optical chaos,
spatio-temporal dynamics, and patterns. This research
highlights the fact that complex behavior, such as chaos,
has a beautiful and orderly underlying structure. We
demonstrate that this orderly structure can be exploited for
a variety of applications, such as stabilizing laser
behavior in a regime where the device would normally produce
erratic behavior, communicating information masked in a
seemingly noise-like chaotic carrier, and improving the
sensitivity of ultra-low-light level optical switches. ©
2007 Elsevier Inc.},
Doi = {10.1016/S1049-250X(06)54010-8},
Key = {fds246337}
}

@article{fds4901,
Author = {D.J. Gauthier and S. Bahar and G.M. Hall},
Title = {Controlling the dynamics of cardiac muscle using small
electrical stimuli},
Pages = {229 - 256},
Booktitle = {Handbook of Biological Physics, Volume 4: Neuro-informatics,
Neural Modelling},
Publisher = {Elsevier, Amsterdam},
Editor = {F. Moss and S. Gielen},
Year = {2001},
Key = {fds4901}
}

@article{fds246403,
Author = {Boyd, RW and Gauthier, D},
Title = {Controlling the velocity of light pulses},
Journal = {Science},
Volume = {326},
Number = {5956},
Pages = {1074-1077},
Year = {2009},
ISSN = {0036-8075},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/Science326_1074_2009.pdf},
Abstract = {It is now possible to exercise a high degree of control over
the velocity at which light pulses pass through material
media. This velocity, known as the group velocity, can be
made to be very different from the speed of light in a
vacuum c. Specifically, the group velocity of light can be
made much smaller than c, greater than c, or even negative.
We present a survey of methods for establishing extreme
values of the group velocity, concentrating especially on
methods that work in room-temperature solids. We also
describe some applications of slow light.},
Doi = {10.1126/science.1170885},
Key = {fds246403}
}

@article{fds322481,
Author = {Guilbert, HE and Gauthier, DJ},
Title = {Correction to “Enhancing Heralding Efficiency and
Biphoton Rate in Type-I Spontaneous Parametric
Down-Conversion” [May 15 6400610]},
Journal = {IEEE Journal of Selected Topics in Quantum
Electronics},
Volume = {21},
Number = {5},
Pages = {1-1},
Year = {2015},
Month = {September},
url = {http://dx.doi.org/10.1109/JSTQE.2015.2450366},
Doi = {10.1109/JSTQE.2015.2450366},
Key = {fds322481}
}

@article{fds324410,
Author = {Cahall, CT and Gauthier, DJ and Kim, J},
Title = {Cryogenic amplifiers for a superconducting nanowire single
photon detector system},
Journal = {2016 Conference on Lasers and Electro-Optics, CLEO
2016},
Year = {2016},
Month = {December},
ISBN = {9781943580118},
Abstract = {© 2016 OSA. We study an electrical readout scheme for
superconducting nanowire single photon detectors using
commercial off-the-shelf amplifiers operating at cryogenic
temperatures. Low power consumption and improved noise
performance enable multichannel readout circuit solution
with high timing resolution.},
Key = {fds324410}
}

@article{fds246291,
Author = {Zheng, H and Gauthier, DJ and Baranger, HU},
Title = {Decoy-state quantum key distribution with nonclassical light
generated in a one-dimensional waveguide.},
Journal = {Optics Letters},
Volume = {38},
Number = {5},
Pages = {622-624},
Year = {2013},
Month = {March},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23455244},
Abstract = {We investigate a decoy-state quantum key distribution (QKD)
scheme with a sub-Poissonian single-photon source, which is
generated on demand by scattering a coherent state off a
two-level system in a one-dimensional waveguide. We show
that, compared to coherent state decoy-state QKD, there is a
two-fold increase of the key generation rate. Furthermore,
the performance is shown to be robust against both parameter
variations and loss effects of the system.},
Key = {fds246291}
}

@article{fds246420,
Author = {Shi, Z and Pant, R and Zhu, Z and Stenner, MD and Neifeld, MA and Gauthier,
DJ and Boyd, RW},
Title = {Design of a tunable time-delay element using multiple gain
lines for increased fractional delay with high data
fidelity},
Journal = {Optics Letters},
Volume = {32},
Number = {14},
Pages = {1986-1988},
Year = {2007},
ISSN = {0146-9592},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptLett32_1986_2007.pdf},
Abstract = {A slow-light medium based on multiple, closely spaced gain
lines is studied. The spacings and relative strengths of the
gain lines are optimized by using the criteria of gain
penalty and eye-opening penalty to maximize the fractional
delay defined in terms of the best decision time for random
pulse trains. Both numerical calculations and experiments
show that an optimal design of a triple-gain-line medium can
achieve a maximal fractional delay about twice that which
can be obtained with a single-gain-line medium, at three
times higher modulation bandwidth, while high data fidelity
is still maintained. © 2007 Optical Society of
America.},
Doi = {10.1364/OL.32.001986},
Key = {fds246420}
}

@article{fds246285,
Author = {Jackson, AD and Huang, D and Gauthier, DJ and Venakides,
S},
Title = {Destructive impact of imperfect beam collimation in
extraordinary optical transmission},
Journal = {Journal of the Optical Society of America
A},
Volume = {30},
Number = {6},
Pages = {1281-1290},
Year = {2013},
ISSN = {1084-7529},
url = {http://www.phy.duke.edu/~qelectron/pubs/JOSAA30_1281_2013.pdf},
Abstract = {We investigate the difference between analytic predictions,
numerical simulations, and experiments measuring the
transmission of energy through subwavelength, periodically
arranged holes in a metal film. At normal incidence, theory
predicts a sharp transmission minimum when the wavelength is
equal to the periodicity, and sharp transmission maxima at
one or more nearby wavelengths. In experiments, the sharpest
maximum from the theory is not observed, while the others
appear less sharp. In numerical simulations using commercial
electromagnetic field solvers, we find that the sharpest
maximum appears and approaches our predictions as the
computational resources are increased. To determine possible
origins of the destruction of the sharp maximum, we
incorporate additional features in our model. Incorporating
imperfect conductivity and imperfect periodicity in our
model leaves the sharp maximum intact. Imperfect
collimation, on the other hand, incorporated into the model
causes the destruction of the sharp maximum as happens in
experiments. We provide analytic support through an
asymptotic calculation for both the existence of the sharp
maximum and the destructive impact of imperfect collimation.
© 2013 Optical Society of America.},
Doi = {10.1364/JOSAA.30.001281},
Key = {fds246285}
}

@article{fds311267,
Author = {Jeong, H and Dawes, AM and Gauthier, DJ},
Title = {Direct observation of optical precursors in a region of
anomalous dispersion},
Journal = {Quantum Electronics and Laser Science Conference
(QELS)},
Volume = {1},
Pages = {241-243},
Year = {2005},
ISSN = {2162-2701},
Abstract = {We observe the creation of optical precursors when a
step-modulated optical pulse propagates through a linear
resonant absorber. The precursors are the dominant part of
the transmitted field, displaying 100% transmission at their
maximum amplitude. © 2005 Optical Society of
America.},
Key = {fds311267}
}

@article{fds246436,
Author = {Jeong, H and Dawes, AMC and Gauthier, DJ},
Title = {Direct observation of optical precursors in a region of
anomalous dispersion.},
Journal = {Physical Review Letters},
Volume = {96},
Number = {14},
Pages = {143901},
Year = {2006},
Month = {April},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/16712074},
Abstract = {We create optical precursors by propagating a step-modulated
optical pulse through a linear resonant dielectric absorber.
The field emerging from the dielectric consists of a
several-nanosecond-long spike with near 100% transmission,
which decays to a constant value expected from Beer's law.
This high-transmission spike might be useful for imaging
applications requiring penetrating optical radiation. We
compare our observations to two different theories,
revealing that the spike consists of both the Sommerfeld and
Brillouin precursors.},
Doi = {10.1103/PhysRevLett.96.143901},
Key = {fds246436}
}

@article{fds324409,
Author = {Islam, NT and Cahall, C and Aragoneses, A and Lim, CCW and Allman, MS and Verma, V and Nam, SW and Kim, J and Gauthier, DJ},
Title = {Discrete-variable time-frequency quantum key
distribution},
Journal = {2016 Conference on Lasers and Electro-Optics, CLEO
2016},
Year = {2016},
Month = {December},
ISBN = {9781943580118},
Abstract = {© 2016 OSA. We demonstrate a setup for realizing a
four-dimensional time-frequency quantum key distribution
protocol, where discrete temporal states are secured using
discrete frequency states. The high-dimensional frequency
states are detected using a tree of passively stabilized
time-delay interferometers.},
Key = {fds324409}
}

@article{fds246445,
Author = {Stenner, MD and Neifeld, MA and Zhu, Z and Dawes, AMC and Gauthier,
DJ},
Title = {Distortion management in slow-light pulse
delay},
Journal = {Optics express},
Volume = {13},
Number = {25},
Pages = {9995-10002},
Year = {2005},
ISSN = {1094-4087},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptExp13_9995.pdf},
Abstract = {We describe a methodology to maximize slow-light pulse delay
subject to a constraint on the allowable pulse distortion.
We show that optimizing over a larger number of physical
variables can increase the distortion-constrained delay. We
demonstrate these concepts by comparing the optimum
slow-light pulse delay achievable using a single Lorentzian
gain line with that achievable using a pair of
closely-spaced gain lines. We predict that distortion
management using a gain doublet can provide approximately a
factor of 2 increase in slow-light pulse delay as compared
with the optimum single-line delay. Experimental results
employing Brillouin gain in optical fiber confirm our
theoretical predictions. © 2005 Optical Society of
America.},
Doi = {10.1364/OPEX.13.009995},
Key = {fds246445}
}

@article{fds246252,
Author = {Shi, Z and Boyd, RW and Zhu, Z and Gauthier, DJ and Pant, R and Stenner,
MD and Neifeld, MA},
Title = {Distortion-reduced pulse-train propagation with large delay
in a triple gain media},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {A slow light medium based on three closely spaced gain lines
is studied. Both numerical calculations and experiments
demonstrate that large delay can be achieved with large
bandwidth and with very small distortion. © 2006 Optical
Society of America.},
Key = {fds246252}
}

@article{fds246217,
Author = {Gauthier, DJ and Rosin, DP and Rontani, D and Haynes,
ND},
Title = {Dynamics and control of time-delay Boolean
networks},
Year = {2014},
Month = {June},
Key = {fds246217}
}

@article{fds17186,
Author = {D.J. Gauthier and O. Pfister and W. J. Brown and M. D.
Stenner},
Title = {Dynamics of a two-photon laser},
Pages = {547-548},
Booktitle = {Coherence and Quantum Optics VIII},
Publisher = {Kluwer Academic/Plenum Publishers, New York},
Editor = {N.P. Bigelow and J.H. Eberly and C.R. Stroud and I.A.
Walmsley},
Year = {2003},
Key = {fds17186}
}

@article{fds246220,
Author = {Gauthier, DJ and Lohmann, J and Haynes, ND and D'Huys, O and Schöll,
E},
Title = {Dynamics of experimental time-delay autonomous Boolean
networks},
Year = {2015},
Month = {January},
Key = {fds246220}
}

@article{fds246380,
Author = {Poutrina, E and Ciracì, C and Gauthier, DJ and Smith,
DR},
Title = {Enhancing four-wave-mixing processes by nanowire arrays
coupled to a gold film.},
Journal = {Optics express},
Volume = {20},
Number = {10},
Pages = {11005-11013},
Year = {2012},
Month = {May},
url = {http://www.ncbi.nlm.nih.gov/pubmed/22565723},
Abstract = {We consider the process of four-wave mixing in an array of
gold nanowires strongly coupled to a gold film. Using
full-wave simulations, we perform a quantitative comparison
of the four-wave mixing efficiency associated with a bare
film and films with nanowire arrays. We find that the
strongly localized surface plasmon resonances of the coupled
nanowires provide an additional local field enhancement
that, along with the delocalized surface plasmon of the
film, produces an overall four-wave mixing efficiency
enhancement of up to six orders of magnitude over that of
the bare film. The enhancement occurs over a wide range of
excitation angles. The film-coupled nanowire array is easily
amenable to nanofabrication, and could find application as
an ultra-compact component for integrated photonic and
quantum optic systems.},
Key = {fds246380}
}

@article{fds246227,
Author = {Guilbert, HE and Gauthier, DJ},
Title = {Enhancing Heralding Efficiency and Biphoton Rate in Type-I
Spontaneous Parametric Down-Conversion},
Journal = {IEEE Journal of Selected Topics in Quantum
Electronics},
Volume = {21},
Number = {3},
Pages = {215-224},
Year = {2015},
Month = {May},
ISSN = {1077-260X},
url = {http://dx.doi.org/10.1109/JSTQE.2014.2375161},
Doi = {10.1109/JSTQE.2014.2375161},
Key = {fds246227}
}

@article{fds246229,
Author = {Schmittberger, BL and Gauthier, DJ},
Title = {Enhancing light-atom interactions via atomic
bunching},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {90},
Number = {1},
Year = {2014},
Month = {July},
ISSN = {1050-2947},
url = {http://hdl.handle.net/10161/9272 Duke open
access},
Doi = {10.1103/PhysRevA.90.013813},
Key = {fds246229}
}

@article{fds246223,
Author = {Gauthier, DJ and Schmittberger, BL},
Title = {Enhancing the nonlinearity at ultra-low light levels using
spatial bunching of cold atoms},
Year = {2015},
Month = {February},
Key = {fds246223}
}

@article{fds324414,
Author = {Islam, NT and Cahall, C and Aragoneses, A and Lim, CCW and Allman, MS and Verma, V and Nam, SW and Kim, J and Gauthier, DJ},
Title = {Enhancing the secure key rate in a quantum-key-distribution
system using discrete-variable, high-dimensional,
time-frequency states},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {9996},
Year = {2016},
Month = {January},
ISBN = {9781510603967},
url = {http://dx.doi.org/10.1117/12.2241429},
Abstract = {© 2016 SPIE. High-dimensional (dimension d > 2) quantum key
distribution (QKD) protocols that encode information in the
temporal degree of freedom promise to overcome some of the
challenges of qubit-based (d = 2) QKD systems. In
particular, the long recovery time of single-photon
detectors and large channel noise at long distance both
limit the rate at which a final secure key can be generated
in a low-dimension QKD system. We propose and demonstrate a
practical discrete-variable time-frequency protocol with d =
4 at a wavelength of 1550 nm, where the temporal states are
secured by transmitting and detecting their dual states
under Fourier transformation, known as the frequency-basis
states, augmented by a decoy-state protocol. We show that
the discrete temporal and frequency states can be generated
and detected using commercially-available equipment with
high timing and spectral efficiency. In our initial
efficiency (1%) at 1550 nm. Together with other component
losses, our system is equivalent to a QKD system with ideal
components and a 50-km-long optical-fiber quantum channel.
We find that our system maintains a spectral visibility of
over 99.0% with a quantum bit error rate of 2.3%, which is
largely due to the finite extinction ratio of the intensity
modulators used in the transmitter. The estimated secure key
rate of this system is 7.7×10 4 KHz, which should improve
drastically when we use detectors optimized for 1550
nm.},
Doi = {10.1117/12.2241429},
Key = {fds324414}
}

@article{fds246257,
Author = {Shi, Z and Boyd, RW and Gauthier, DJ and Dudley, CC},
Title = {Enhancing the spectral sensitivity and resolution of
interferometers using slow-light media},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
Month = {January},
Abstract = {We demonstrate experimentally that the spectral sensitivity
and resolution of an interferometer can be greatly enhanced
by introducing a slow-light medium into it with an
enhancement factor equal to the group index of the medium.
© 2006 Optical Society of America.},
Key = {fds246257}
}

@article{fds246336,
Author = {Shi, Z and Boyd, RW and Gauthier, DJ and Dudley, CC},
Title = {Enhancing the spectral sensitivity and resolution of
interferometers using slow-light media},
Journal = {Conference on Lasers and Electro-Optics, 2007, CLEO
2007},
Year = {2007},
url = {http://dx.doi.org/10.1109/CLEO.2007.4453082},
Abstract = {We demonstrate experimentally that the spectral sensitivity
and resolution of an interferometer can be greatly enhanced
by introducing a slow-light medium into it with an
enhancement factor equal to the group index of the medium.
© 2006 Optical Society of America.},
Doi = {10.1109/CLEO.2007.4453082},
Key = {fds246336}
}

@article{fds246422,
Author = {Zhimin, S and Boyd, RW and Gauthier, DJ and Dudley,
CC},
Title = {Enhancing the spectral sensitivity of interferometers using
slow-light media},
Journal = {Optics Letters},
Volume = {32},
Number = {8},
Pages = {915-917},
Year = {2007},
ISSN = {0146-9592},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptLett32_915_2007.pdf},
Abstract = {We demonstrate experimentally that the spectral sensitivity
of an interferometer can be greatly enhanced by introducing
a slow-light medium into it. The experimental results agree
very well with theoretical predictions that the enhancement
factor of the spectral sensitivity is equal to the group
index ng of the slow-light medium. © 2007 Optical Society
of America.},
Doi = {10.1364/OL.32.000915},
Key = {fds246422}
}

@article{fds246509,
Author = {Sukow, DW and Gauthier, DJ},
Title = {Entraining power-dropout events in an external-cavity
semiconductor laser using weak modulation of the injection
current},
Journal = {IEEE Journal of Quantum Electronics},
Volume = {36},
Number = {2},
Pages = {175-183},
Year = {2000},
url = {http://dx.doi.org/10.1109/3.823463},
Abstract = {We measure experimentally the effects of injection current
modulation on the statistical distribution of time intervals
between power-dropout events occurring in an external-cavity
semiconductor laser operating in the low-frequency
fluctuation regime. These statistical distributions are
sensitive indicators of the presence of pump current
modulation. Under most circumstances, we find that weak
low-frequency (in the vicinity of 19 MHz) modulation of the
current causes the dropouts to occur preferentially at
intervals that are integral multiples of the modulation
period. The dropout events can be entrained by the periodic
perturbations when the modulation amplitude is large
(peak-to-peak amplitude≥8% of the dc injection current).
We conjecture that modulation induces a dropout when the
modulation frequency is equal to the difference in frequency
between a mode of the extended cavity laser and its adjacent
antimode. We also find that the statistical distribution of
the dropout events is unaffected by the periodic
perturbations when the modulation frequency is equal to the
free spectral range of the external cavity. Numerical
simulations of the extended-cavity laser display
qualitatively similar behavior. The relationship of these
phenomena to stochastic resonance is discussed and a
possible use of the modulated laser dynamics for chaos
communication is described.},
Doi = {10.1109/3.823463},
Key = {fds246509}
}

@article{fds246324,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL and Willner,
AE},
Title = {Erratum: Maximum time delay achievable on propagation
through a slow-light medium (Physical Review A - Atomic,
Molecular, and Optical Physics (2005) 71
(023801))},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {72},
Number = {5},
Year = {2005},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.72.059903},
Doi = {10.1103/PhysRevA.72.059903},
Key = {fds246324}
}

@article{fds246284,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ},
Title = {Erratum: Ultrafast physical generation of random numbers
using hybrid Boolean networks (Physical Review E -
Statistical, Nonlinear, and Soft Matter Physics (2013) 87
(040902))},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {87},
Number = {5},
Year = {2013},
ISSN = {1539-3755},
url = {http://dx.doi.org/10.1103/PhysRevE.87.059902},
Doi = {10.1103/PhysRevE.87.059902},
Key = {fds246284}
}

@article{fds246374,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ and Schöll,
E},
Title = {Excitability in autonomous Boolean networks},
Journal = {EPL (Europhysics Letters)},
Volume = {100},
Number = {3},
Pages = {30003},
Year = {2012},
ISSN = {0295-5075},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/Rosin12_Boolean_Excitability.pdf},
Abstract = {We demonstrate theoretically and experimentally that
excitable systems can be built with autonomous Boolean
networks. Their experimental implementation is realized with
asynchronous logic gates on a reconfigurabe chip. When these
excitable systems are assembled into time-delay networks,
their dynamics display nanosecond time scale spike
synchronization patterns that are controllable in period and
Doi = {10.1209/0295-5075/100/30003},
Key = {fds246374}
}

@article{fds246512,
Author = {Oliver, RA and Hall, GM and Bahar, S and Krassowska, W and Wolf, PD and Dixon-Tulloch, EG and Gauthier, DJ},
Title = {Existence of bistability and correlation with
arrhythmogenesis in paced sheep atria.},
Journal = {Journal of Cardiovascular Electrophysiology},
Volume = {11},
Number = {7},
Pages = {797-805},
Year = {2000},
Month = {July},
ISSN = {1045-3873},
url = {http://www.ncbi.nlm.nih.gov/pubmed/10921797},
Abstract = {INTRODUCTION: Studies of the electrical dynamics of cardiac
tissue are important for understanding the mechanisms of
arrhythmias. This study uses high-frequency pacing to
investigate the dynamics of sheep atria. METHODS AND
RESULTS: A 504-electrode mapping plaque was affixed to the
right atrium in six sheep. Cathodal pacing stimuli were
delivered to the center of the plaque. Pacing period (Tp)
was decreased from 275 +/- 25 msec to 75 +/- 25 msec and
then increased to 230 +/- 70 msec in steps of either 5 or 10
msec. In all 21 trials in six sheep, the atrium responded
1:1 at longer Tps and 2:1 at shorter Tps. As Tp was
decreased, the response switched to 2:1 at a particular Tp.
Conversely, as Tp was increased, the response switched back
to 1:1 at a particular Tp. Over 21 trials, the 1:1-to-2:1
and 2:1-to-1:1 transitions occurred at 119.5 +/- 18.8 msec
and 130.0 +/- 19.1 msec, respectively. This hysteretic
behavior yielded bistability windows, 10.5 +/- 7.2 msec
wide, wherein 1:1 and 2:1 responses existed at the same Tp.
In 15 trials and in all animals, idiopathic wavefronts
emanating from outside the mapped region passed through the
mapped region. In 13 of those trials, the idiopathic
wavefronts occurred at Tps within the bistability window or
within 35 msec of its upper or lower limit. CONCLUSION:
Bistability windows and idiopathic wavefronts were observed
and found to be correlated with each other, suggesting a
connection between bistability and arrhythmogenesis.},
Key = {fds246512}
}

@article{fds246305,
Author = {Oliver, RA and Krassowska, W and Hall, GM and Bahar, S and Wolf, PD and Gauthier, DJ},
Title = {Existence of bistability and correlation with
arrhythmogenesis in sheep atria},
Journal = {Annual International Conference of the IEEE Engineering in
Medicine and Biology - Proceedings},
Volume = {1},
Pages = {157-},
Year = {1999},
Abstract = {This experimental study investigates the response of sheep
atria to periodic pacing. In 23 trials over 6 animals, a
window of bistability was observed wherein for a range of
pacing periods the atria responded 1:1 or 2:1 depending on
whether pacing period was increasing or decreasing. In 18
trials, non-paced activations were also observed. In 17 of
those 18 trials, the non-paced activations occurred at
pacing periods within or no more than 30 ms away from the
window of bistability. These results suggest bistability
exists in cardiac tissue and is correlated with
arrhythmogenesis.},
Key = {fds246305}
}

@article{fds246273,
Author = {Aragoneses, A and Sorrentino, T and Perrone, S and Gauthier, DJ and Torrent, MC and Masoller, C},
Title = {Experimental and numerical study of the symbolic dynamics of
a modulated external-cavity semiconductor
laser.},
Journal = {Optics express},
Volume = {22},
Number = {4},
Pages = {4705-4713},
Year = {2014},
Month = {February},
url = {http://dx.doi.org/10.1364/oe.22.004705},
Abstract = {We study the symbolic dynamics of a stochastic excitable
optical system with periodic forcing. Specifically, we
consider a directly modulated semiconductor laser with
optical feedback in the low frequency fluctuations (LFF)
regime. We use a method of symbolic time-series analysis
that allows us to uncover serial correlations in the
sequence of intensity dropouts. By transforming the sequence
of inter-dropout intervals into a sequence of symbolic
patterns and analyzing the statistics of the patterns, we
unveil correlations among several consecutive dropouts and
we identify clear changes in the dynamics as the modulation
amplitude increases. To confirm the robustness of the
observations, the experiments were performed using two
lasers under different feedback conditions. Simulations of
the Lang-Kobayashi (LK) model, including spontaneous
emission noise, are found to be in good agreement with the
observations, providing an interpretation of the
correlations present in the dropout sequence as due to the
interplay of the underlying attractor topology, the external
forcing, and the noise that sustains the dropout
events.},
Doi = {10.1364/oe.22.004705},
Key = {fds246273}
}

@article{fds246506,
Author = {Hall, GM and Bahar, S and Gauthier, DJ},
Title = {Experimental control of a chaotic point process using
interspike intervals},
Journal = {Physical Review E - Statistical Physics, Plasmas, Fluids,
and Related Interdisciplinary Topics},
Volume = {58},
Number = {2 SUPPL. A},
Pages = {1685-1689},
Year = {1998},
Abstract = {A physical point process generated by passing a continuous,
deterministic, chaotic signal through an integrate-and-fire
device is controlled using proportional feedback
incorporating only the time intervals between events. This
system is unique in that the mean time between events can be
adjusted independent of the dynamics of the underlying
chaotic system. It is found that the range of feedback
parameters giving rise to control as a function of the mean
firing time exhibits surprisingly complex structure, and
control is not possible when the mean interspike interval is
comparable to or larger than the underlying system memory
time.},
Key = {fds246506}
}

@article{fds246496,
Author = {Hall, GM and Gauthier, DJ},
Title = {Experimental control of cardiac muscle alternans},
Journal = {Physical Review Letters},
Volume = {88},
Number = {19},
Pages = {1981021-1981024},
Year = {2002},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12005667},
Abstract = {The experimental results of suppression of cardiac muscle
alternans in small pieces of in vitro paced bullfrog cardiac
muscle were demonstrated using a simple self-referencing
scheme. A large range of physiological conditions over many
animals, control was made possible and the self-referencing
control protocol was automatically adjusted to changes in
paceing interval. The feasibility of developing low-energy
methods for maintaining normal cardiac function were
suggested by the results.},
Doi = {10.1103/PhysRevLett.88.198102},
Key = {fds246496}
}

@article{fds246510,
Author = {Blakely, JN and Gauthier, DJ and Johnson, G and Carroll, TL and Pecora,
LM},
Title = {Experimental investigation of high-quality synchronization
of coupled oscillators.},
Journal = {Chaos},
Volume = {10},
Number = {3},
Pages = {738-744},
Year = {2000},
Month = {September},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12779423},
Abstract = {We describe two experiments in which we investigate the
synchronization of coupled periodic oscillators. Each
experimental system consists of two identical coupled
electronic periodic oscillators that display bursts of
desynchronization events similar to those observed
previously in coupled chaotic systems. We measure the degree
of synchronization as a function of coupling strength. In
the first experiment, high-quality synchronization is
achieved for all coupling strengths above a critical value.
In the second experiment, no high-quality synchronization is
observed. We compare our results to the predictions of the
several proposed criteria for synchronization. We find that
none of the criteria accurately predict the range of
coupling strengths over which high-quality synchronization
is observed. (c) 2000 American Institute of
Physics.},
Doi = {10.1063/1.1286996},
Key = {fds246510}
}

@article{fds246367,
Author = {Pfister, O and Brown, WJ and Stenner, M and Gauthier,
DJ},
Title = {Experimental realization of a two-photon laser in strongly
driven potassium atoms},
Journal = {IQEC, International Quantum Electronics Conference
Proceedings},
Pages = {160-161},
Year = {1999},
Abstract = {Novel quantum oscillators consisting of strongly driven
potassium atoms contained in a high-finesse optical
resonator were examined. Two-photon amplification arose from
laser-driven resonant scattering between magnetic hyperfine
levels. A novel configuration using different states of
polarization and an orthogonal beam geometry allowed
discrimination between the numerous gain mechanisms. This
configuration suppressed competing phase-matched wave-mixing
processes, which was crucial to realize an ideal two-photon
amplifier.},
Key = {fds246367}
}

@article{fds303662,
Author = {Gauthier, DJ and Rosin, DP and Rontani, D and Schöll,
E},
Title = {Experimental signatures of chimera states in non-locally
coupled Boolean phase oscillators},
Year = {2015},
Month = {March},
Key = {fds303662}
}

@article{fds246231,
Author = {Sorrentino, T and Aragoneses, A and Perrone, S and Gauthier, DJ and Torrent, MC and Masoller, C},
Title = {Experimental study of the complex dynamics of semiconductor
lasers with feedback via symbolic time-series
analysis},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {9134},
Year = {2014},
Month = {January},
ISSN = {0277-786X},
url = {http://dx.doi.org/10.1117/12.2052322},
Abstract = {We investigate the symbolic dynamics of an excitable optical
system under periodic forcing. Particularly, we consider the
low-frequency fluctuation (LFF) dynamics of a semiconductor
laser with periodically-modulated injection current and
optical feedback. We use a method of symbolic time-series
analysis that allows us to unveil serial correlations in the
sequence of intensity dropouts. By transforming the sequence
of inter-dropout intervals into a sequence of ordinal
patterns and analyzing the statistics of the patterns, we
uncover correlations among several consecutive dropouts and
we identify definite changes in the dynamics as the
modulation amplitude increases. We confirm the robustness of
the observations by conducting the experiments with two
different lasers under different feedback conditions. The
results are also shown to be robust to variations of the
threshold used for detecting the dropouts. Simulations of
the Lang-Kobayashi (LK) model, including spontaneous
emission noise, are found to be in good qualitative
agreement with the observations, providing an interpretation
of the correlations present in the dropout sequence as due
to the interplay of the underlying attractor topology, the
periodic forcing, and the noise that sustains the dropout
Doi = {10.1117/12.2052322},
Key = {fds246231}
}

@article{fds246287,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ and Schöll,
E},
Title = {Experiments on autonomous Boolean networks.},
Journal = {Chaos},
Volume = {23},
Number = {2},
Pages = {025102},
Year = {2013},
Month = {June},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23822500},
Abstract = {We realize autonomous Boolean networks by using logic gates
in their autonomous mode of operation on a
field-programmable gate array. This allows us to implement
time-continuous systems with complex dynamical behaviors
that can be conveniently interconnected into large-scale
networks with flexible topologies that consist of time-delay
links and a large number of nodes. We demonstrate how we
realize networks with periodic, chaotic, and excitable
dynamics and study their properties. Field-programmable gate
arrays define a new experimental paradigm that holds great
potential to test a large body of theoretical results on the
dynamics of complex networks, which has been beyond reach of
Doi = {10.1063/1.4807481},
Key = {fds246287}
}

@article{fds246222,
Author = {Gauthier, DJ and Haynes, ND and Lohmann, J and D'Huys, O and Rosin,
DP},
Title = {Extreme transients in time-delay autonomous Boolean
networks},
Year = {2015},
Month = {January},
Key = {fds246222}
}

@article{fds246431,
Author = {Stenner, MD and Gauthier, DJ and Neifeld, MA},
Title = {Fast causal information transmission in a medium with a slow
group velocity.},
Journal = {Physical Review Letters},
Volume = {94},
Number = {5},
Pages = {053902},
Year = {2005},
Month = {Spring},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15783642},
Abstract = {It is widely believed that the velocity of information
upsiloni encoded on an optical pulse is equal to the group
velocity upsilong, at least when upsilong is less than the
speed of light in vacuum c. On the other hand, several
authors suggest that upsiloni=c, although the size of the
signal traveling at this velocity may be small, thereby
making it difficult to measure. Here, we measure upsiloni
for pulses propagating through a resonant "slow-light"
medium where upsilong approximately 0.006c. We find
upsiloni=1.03c(+0.49c)-0.25c, or that upsiloni approximately
168upsilong, clearly demonstrating that the speed of
information cannot be generally described by upsilong, but
is characterized by its own velocity.},
Doi = {10.1103/PhysRevLett.94.053902},
Key = {fds246431}
}

@article{fds246427,
Author = {Gauthier, DJ and Boyd, RW},
Title = {Fast light, slow light and optical precursors: What does it
all mean?},
Journal = {Photonics spectra},
Volume = {41},
Number = {1},
Pages = {82-84+86-88+90},
Year = {2007},
ISSN = {0731-1230},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PhotonicsSpectraFastLightSlowLight2007.pdf},
Abstract = {Einstein's special theory of relativity concerns the
behavior of Maxwell's equations under coordinate
transformations and has far-reaching consequences. In his
public discussions of the theory, Einstein focuses on the
concept of an "event," such as a spark caused by a lightning
bolt and on how the event would be observed by people at
various locations. Experiments conducted to date concerning
how light travels are consistent with the special theory of
relativity, although it remains difficult to show this. In
some experiments, the pulse shape is such that it is
exceedingly difficult to detect the pulse front and, hence,
it may appear that the special theory has been violated. In
other experiments especially designed to accentuate the
pulse front, it has been shown that the information velocity
is equal to c within the experimental uncertainties in both
fast- and slow-light regimes.},
Key = {fds246427}
}

@article{fds246406,
Author = {Gehring, GM and Boyd, RW and Gaeta, AL and Gauthier, DJ and Willner,
AE},
Title = {Fiber-based slow-light technologies},
Journal = {Journal of Lightwave Technology},
Volume = {26},
Number = {23},
Pages = {3752-3762},
Year = {2008},
ISSN = {0733-8724},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PTL26_3752_2008.pdf},
Abstract = {A review of current fiber-based technologies capable of
producing slow-light effects is presented, with emphasis on
the applicability of these technologies to
telecommunications. We begin with a review of the basic
concepts of phase velocity, group velocity, and group delay.
We then present a survey of some of the figures of merit
used to quantify the engineering properties of slow-light
systems. We also present a description of several of the
physical processes that are commonly used to induce a
slow-light effect. Finally, a review of some recent advances
in this field is presented. © 2008 IEEE.},
Doi = {10.1109/JLT.2008.2004883},
Key = {fds246406}
}

@article{fds246388,
Author = {Zhang, R and Zhu, Y and Wang, J and Gauthier, DJ},
Title = {Fiber-length dependence of slow light with a swept-frequency
source},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {7949},
Pages = {794909},
Year = {2011},
ISSN = {0277-786X},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/ZhangSPIE7949_794909_2011.pdf},
Abstract = {We study the slow light effect via stimulated Brillouin
sources, such as that used in optical coherence tomography.
Slow light can be achieved, in principle, over the entire
transparency window of the optical fiber (many 100's of nm
at telecommunication wavelengths). We demonstrate a SBS slow
light delay of more than 1 ns over a wide bandwidth at 1.55
μm using a 2-km-long highly nonlinear fiber with a source
sweep rate of 20 MHz/μs and a delay of 10 ns using a
10-m-long photonic crystal fiber with a sweep rate of 400
MHz/μs. We also find that, for a given sweep rate R, there
is an optimum value of fiber length L to obtain the largest
Doi = {10.1117/12.876805},
Key = {fds246388}
}

@article{fds246357,
Author = {Boulanger, B and Cundiff, ST and Gauthier, DJ and Karlsson, M and Lu,
Y-Q and Norwood, RA and Skryabin, D and Taira, T},
Title = {Focus issue introduction: Nonlinear optics},
Journal = {Optical Materials Express},
Volume = {1},
Number = {7},
Pages = {1393-1398},
Year = {2011},
ISSN = {2159-3930},
url = {http://dx.doi.org/10.1364/OME.1.001393},
Abstract = {It is now fifty years since the original observation of
second harmonic generation ushered in the field of nonlinear
optics, close on the heels of the invention of the laser.
This feature issue celebrates this anniversary with papers
that span the range from new nonlinear optical materials,
through the increasingly novel methods that have been
developed for phase matching, to emerging areas such as
nonlinear metamaterials and plasmonic enhancement of optical
properties. It is clear that the next fifty years of
nonlinear optics will witness a proliferation of new
applications with increasing technological impact. © 2011
Optical Society of America.},
Doi = {10.1364/OME.1.001393},
Key = {fds246357}
}

@article{fds246358,
Author = {Boulanger, B and Cundiff, ST and Gauthier, DJ and Karlsson, M and Lu,
Y-Q and Norwood, RA and Skryabin, D and Taira, T},
Title = {Focus issue introduction: Nonlinear optics},
Journal = {Optics express},
Volume = {19},
Number = {23},
Pages = {23561-23566},
Year = {2011},
ISSN = {1094-4087},
url = {http://dx.doi.org/10.1364/OE.19.023561},
Abstract = {It is now fifty years since the original observation of
second harmonic generation ushered in the field of nonlinear
optics, close on the heels of the invention of the laser.
This feature issue celebrates this anniversary with papers
that span the range from new nonlinear optical materials,
through the increasingly novel methods that have been
developed for phase matching, to emerging areas such as
nonlinear metamaterials and plasmonic enhancement of optical
properties. It is clear that the next fifty years of
nonlinear optics will witness a proliferation of new
applications with increasing technological impact. © 2011
Optical Society of America.},
Doi = {10.1364/OE.19.023561},
Key = {fds246358}
}

@article{fds246207,
Author = {Rivera-Durón, RR and Campos-Cantón, E and Campos-Cantón, I and Gauthier, DJ},
Title = {Forced synchronization of autonomous dynamical Boolean
networks.},
Journal = {Chaos},
Volume = {25},
Number = {8},
Pages = {083113},
Year = {2015},
Month = {August},
ISSN = {1054-1500},
url = {http://dx.doi.org/10.1063/1.4928739},
Abstract = {We present the design of an autonomous time-delay Boolean
network realized with readily available electronic
components. Through simulations and experiments that account
for the detailed nonlinear response of each circuit element,
we demonstrate that a network with five Boolean nodes
displays complex behavior. Furthermore, we show that the
dynamics of two identical networks display
near-instantaneous synchronization to a periodic state when
forced by a common periodic Boolean signal. A theoretical
analysis of the network reveals the conditions under which
complex behavior is expected in an individual network and
the occurrence of synchronization in the forced networks.
This research will enable future experiments on autonomous
time-delay networks using readily available electronic
components with dynamics on a slow enough time-scale so that
inexpensive data collection systems can faithfully record
the dynamics.},
Doi = {10.1063/1.4928739},
Key = {fds246207}
}

@booklet{Hooper94,
Author = {Hooper, BA and Gauthier, DJ and Madey, JM},
Title = {Fourth-harmonic generation in a single lithium
generation},
Journal = {Applied Optics},
Volume = {33},
Number = {30},
Pages = {6980-6984},
Year = {1994},
ISSN = {0003-6935},
Abstract = {Second harmonic generation (SHG) and fourth harmonic
generation (FHG) in single 1 cm long lithium niobate crystal
pumped by 2-2.5 μm photons from Mark III free-electron
laser and type I phase matched for first stage SHG. Energy
conversion efficiencies of 66% for SHG and 3.3×10-6 for FHG
are observed.},
Key = {Hooper94}
}

@article{fds246390,
Author = {Wang, J and Zhu, Y and Zhang, R and Gauthier, DJ},
Title = {FSBS resonances observed in a standard highly nonlinear
fiber},
Journal = {Optics express},
Volume = {19},
Number = {6},
Pages = {5339-5349},
Year = {2011},
ISSN = {1094-4087},
url = {http://hdl.handle.net/10161/5107 Duke open
access},
Abstract = {Forward stimulated Brillouin scattering (FSBS) is observed
in a standard 2-km-long highly nonlinear fiber. The
frequency of FSBS arising from multiple radially guided
acoustic resonances is observed up to gigahertz frequencies.
The tight confinement of the light and acoustic field
enhances the interaction and results in a large gain
coefficient of 34.7 W-1 at a frequency of 933.8 MHz. We also
find that the profile on the anti-Stokes side of the pump
beam have lineshapes that are asymmetric, which we show is
due to the interference between FSBS and the optical Kerr
effect. The measured FSBS resonance linewidths are found to
increase linearly with the acoustic frequency. Based on this
scaling, we conclude that dominant contribution to the
linewidth is from surface damping due to the fiber jacket
and structural nonuniformities along the fiber. © 2011
Optical Society of America.},
Doi = {10.1364/OE.19.005339},
Key = {fds246390}
}

@article{fds246232,
Author = {Zhu, Y and Greenberg, JA and Husein, NA and Gauthier,
DJ},
Title = {Giant all-optical tunable group velocity dispersion in an
optical fiber.},
Journal = {Optics express},
Volume = {22},
Number = {12},
Pages = {14382-14391},
Year = {2014},
Month = {June},
url = {http://dx.doi.org/10.1364/oe.22.014382},
Abstract = {We realize a strongly dispersive material with large tunable
group velocity dispersion (GVD) in a commercially-available
photonic crystal fiber. Specifically, we pump the fiber with
a two-frequency pump field that induces an absorbing
resonance adjacent to an amplifying resonance via the
stimulated Brillouin processes. We demonstrate all-optical
control of the GVD by measuring the linear frequency chirp
impressed on a 28-nanosecond-duration optical pulse by the
medium and find that it is tunable over the range ± 7.8
ns(2)/m. The maximum observed value of the GVD is 10(9)
times larger than that in a typical single-mode silica
optical fiber. Our observations are in good agreement with a
theoretical model of the process.},
Doi = {10.1364/oe.22.014382},
Key = {fds246232}
}

@article{fds246210,
Author = {Mirhosseini, M and Magaña-Loaiza, OS and O’Sullivan, MN and Rodenburg, B and Malik, M and Lavery, MPJ and Padgett, MJ and Gauthier,
DJ and Boyd, RW},
Title = {High-dimensional quantum cryptography with twisted
light},
Journal = {New Journal of Physics},
Volume = {17},
Number = {3},
Pages = {033033-033033},
Year = {2015},
Month = {March},
url = {http://dx.doi.org/10.1088/1367-2630/17/3/033033},
Doi = {10.1088/1367-2630/17/3/033033},
Key = {fds246210}
}

@article{fds246226,
Author = {Mirhosseini, M and Magana-Loaiza, OS and O'Sullivan, MN and Rodenburg, B and Malik, M and Lavery, MPJ and Padgett, MJ and Gauthier,
DJ and Boyd, RW},
Title = {High-dimensional quantum key distribution with photonic
orbital angular momentum},
Journal = {Frontiers in Optics, FiO 2014},
Year = {2014},
Month = {October},
ISBN = {1557522863},
Abstract = {© 2014 Optical Society of America. We experimentally
demonstrate a quantum cryptography system based on photonic
orbital angular momentum. The system achieves a channel
capacity of 2.1 bits per sifted photon through the use of a
7-dimensional alphabet for encoding information.},
Key = {fds246226}
}

@article{fds246391,
Author = {Zhu, Y and Lee, M and Neifeld, MA and Gauthier, DJ},
slow light using fast noise modulation.},
Journal = {Optics express},
Volume = {19},
Number = {2},
Pages = {687-697},
Year = {2011},
Month = {January},
url = {http://www.ncbi.nlm.nih.gov/pubmed/21263608},
Abstract = {We demonstrate a 5-GHz-broadband tunable slow-light device
based on stimulated Brillouin scattering in a standard
highly-nonlinear optical fiber pumped by a
noise-current-modulated laser beam. The noisemodulation
waveform uses an optimized pseudo-random distribution of the
laser drive voltage to obtain an optimal flat-topped gain
profile, which minimizes the pulse distortion and maximizes
pulse delay for a given pump power. In comparison with a
previous slow-modulation method, eye-diagram and
signal-to-noise ratio (SNR) analysis show that this
broadband slow-light technique significantly increases the
fidelity of a delayed data sequence, while maintaining the
delay performance. A fractional delay of 0.81 with a SNR of
5.2 is achieved at the pump power of 350 mW using a
2-km-long highly nonlinear fiber with the fast
noise-modulation method, demonstrating a 50% increase in
eye-opening and a 36% increase in SNR in the
comparison.},
Doi = {10.1364/oe.19.000687},
Key = {fds246391}
}

@article{fds246381,
Author = {Greenberg, JA and Gauthier, DJ},
Title = {High-order optical nonlinearity at low light
levels},
Journal = {EPL (Europhysics Letters)},
Volume = {98},
Number = {2},
Pages = {24001-24001},
Year = {2012},
Month = {April},
ISSN = {0295-5075},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/EPL98_24001_2012.pdf},
Abstract = {We observe a nonlinear optical process in a gas of cold
atoms that simultaneously displays the largest reported
fifth-order nonlinear susceptibility χ (5)=1.9×10 - 12
(m/V) 4 and high transparency. The nonlinearity results from
the simultaneous cooling and crystallization of the gas, and
gives rise to efficient Bragg scattering in the form of
six-wave mixing at low light levels. For large atom-photon
coupling strengths, the back-action of the scattered fields
influences the light-matter dynamics. We confirm this
interpretation by investigating the nonlinearity for
different polarization configurations. In addition, we
demonstrate excellent agreement between our experimental
measurements and a theoretical model with no free
parameters, and compare our results to those obtained using
alternative approaches. This system may have important
applications in many-body physics, quantum information
processing, and multidimensional soliton formation. ©
Europhysics Letters Association 2012.},
Doi = {10.1209/0295-5075/98/24001},
Key = {fds246381}
}

@article{fds246412,
Author = {Evertson, DW and Holcomb, MR and Eames, MDC and Bray, M-A and Sidorov,
VY and Xu, J and Wingard, H and Dobrovolny, HM and Woods, MC and Gauthier,
DJ and Wikswo, JP},
Title = {High-resolution high-speed panoramic cardiac imaging
system},
Journal = {IEEE Transactions on Biomedical Engineering},
Volume = {55},
Number = {3},
Pages = {1241-1243},
Year = {2008},
ISSN = {0018-9294},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/IEEETransBME55_1241_2008.pdf},
Abstract = {A panoramic cardiac imaging system consisting of three
high-speed CCD cameras has been developed to image the
surface electrophysiology of a rabbit heart via fluorescence
imaging using a voltage-sensitive fluorescent dye. A robust,
unique mechanical system was designed to accommodate the
three cameras and to adapt to the requirements of future
experiments. A unified computer interface was created for
this application - a single workstation controls all three
CCD cameras, illumination, stimulation, and a stepping motor
that rotates the heart. The geometric reconstruction
algorithms were adapted from a previous cardiac imaging
system. We demonstrate the system by imaging a polymorphic
Doi = {10.1109/TBME.2007.912417},
Key = {fds246412}
}

@article{fds246500,
Author = {Blakely, JN and Illing, L and Gauthier, DJ},
Title = {High-Speed Chaos in an Optical Feedback System With Flexible
Timescales},
Journal = {IEEE Journal of Quantum Electronics},
Volume = {40},
Number = {3},
Pages = {299-305},
Year = {2004},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/IEEEjqe40_299.pdf},
Abstract = {We describe a new optoelectronic device with time-delayed
feedback that uses a Mach-Zehnder interferometer as passive
nonlinearity and a semiconductor laser as a
current-to-optical-frequency converter. Band-limited
feedback allows tuning of the characteristic time scales of
both the periodic and high dimensional chaotic oscillations
that can be generated with the device. Our implementation of
the device produces oscillations in the frequency range of
tens to hundreds of megahertz. We develop a model and use it
to explore the experimentally observed Andronov-Hopf
bifurcation of the steady state and to estimate the
dimension of the chaotic attractor.},
Doi = {10.1109/JQE.2003.823021},
Key = {fds246500}
}

@article{fds246275,
Author = {Christensen, BG and McCusker, KT and Gauthier, DJ and Kwiat,
PG},
Title = {High-speed quantum key distribution using hyper-entangled
photons},
Journal = {Optics InfoBase Conference Papers},
Year = {2012},
Month = {December},
Abstract = {We discuss a quantum cryptography system using the timing
and polarization degrees of freedom to produce a high bit
rate for both technologically limited eavesdroppers and for
any potential eavesdroppers. © 2012 OSA.},
Key = {fds246275}
}

@article{fds246279,
Author = {Christensen, BG and McCusker, KT and Gauthier, DJ and Kwiat,
PG},
Title = {High-speed quantum key distribution using hyper-entangled
photons},
Journal = {CLEO: Science and Innovations, CLEO_SI 2012},
Pages = {JW4A.115},
Year = {2012},
Month = {December},
Abstract = {We discuss a quantum cryptography system using the timing
and polarization degrees of freedom to produce a high bit
rate for both technologically limited eavesdroppers and for
any potential eavesdroppers. © OSA 2012.},
Key = {fds246279}
}

@article{fds246280,
Author = {Christensen, BG and McCusker, KT and Gauthier, DJ and Kwiat,
PG},
Title = {High-speed quantum key distribution using hyper-entangled
photons},
Journal = {CLEO: Applications and Technology, CLEO_AT
2012},
Pages = {JW4A.115},
Year = {2012},
Month = {December},
Abstract = {We discuss a quantum cryptography system using the timing
and polarization degrees of freedom to produce a high bit
rate for both technologically limited eavesdroppers and for
any potential eavesdroppers. © OSA 2012.},
Key = {fds246280}
}

@article{fds246359,
Author = {Christensen, BG and McCusker, KT and Gauthier, DJ and Kwiat,
PG},
Title = {High-speed quantum key distribution using hyper-entangled
photons},
Journal = {2012 Conference on Lasers and Electro-Optics, CLEO
2012},
Year = {2012},
Abstract = {We discuss a quantum cryptography system using the timing
and polarization degrees of freedom to produce a high bit
rate for both technologically limited eavesdroppers and for
any potential eavesdroppers. © 2012 OSA.},
Key = {fds246359}
}

@article{fds246239,
Author = {Christensen, BG and McCusker, KT and Gauthier, DJ and Kumor, DR and Chandar, V and Kwiat, PG},
Title = {Higher-dimensional quantum cryptography},
Journal = {Optics InfoBase Conference Papers},
Year = {2014},
Month = {January},
Abstract = {We report on a high-speed quantum cryptography system with
simultaneous entanglement in polarization and "time-bins".
We use multiple degrees of freedom and multiple spots on the
downconversion cone to achieve 14 Mbits/s of secure key.©
OSA 2014.},
Key = {fds246239}
}

@article{fds246469,
Author = {Bennink, RS and Wong, V and Marino, AM and Aronstein, DL and Boyd, RW and Stroud, CR and Lukishova, S and Gauthier, DJ},
Title = {Honeycomb pattern formation by laser-beam filamentation in
atomic sodium vapor},
Journal = {Physical Review Letters},
Volume = {88},
Number = {11},
Pages = {29-},
Year = {2002},
Month = {March},
ISSN = {0031-9007},
Abstract = {Optical pattern formation was discussed. A single laser beam
propagating without feedback through atomic sodium vapor
develops a stable, regular, transverse structure was used.
It was found that a three-filament near-field pattern
leading to a honeycomb far-field pattern occurs at
intensities near the saturation intensity.},
Doi = {10.1103/PhysRevLett.88.113901},
Key = {fds246469}
}

@article{fds318446,
Author = {Bennink, RS and Wong, V and Marino, AM and Aronstein, DL and Boyd, RW and Jr, CRS and Lukishova, S and Gauthier, DJ},
Title = {Honeycomb pattern formation by laser-beam filamentation in
atomic sodium vapor},
Journal = {Optics & Photonics News},
Volume = {13},
Number = {12},
Pages = {29-},
Year = {2002},
ISBN = {0780377338},
url = {http://dx.doi.org/10.1109/EQEC.2003.1313969},
Abstract = {Optical pattern formation was discussed. A single laser beam
propagating without feedback through atomic sodium vapor
develops a stable, regular, transverse structure was used.
It was found that a three-filament near-field pattern
leading to a honeycomb far-field pattern occurs at
intensities near the saturation intensity.},
Doi = {10.1109/EQEC.2003.1313969},
Key = {fds318446}
}

@article{fds44142,
Author = {L. Illing and D.J. Gauthier},
Title = {Hopf bifurcations in time-delay systems with band-limited
feedback},
Journal = {Physica D: Nonlinear Phenomena},
Volume = {210},
Pages = {180},
Year = {2005},
url = {http://arxiv.org/abs/nlin/0507040},
Key = {fds44142}
}

@article{fds246470,
Author = {Illing, L and Gauthier, DJ},
Title = {Hopf bifurcations in time-delay systems with band-limited
feedback},
Journal = {Physica D: Nonlinear Phenomena},
Volume = {210},
Number = {3-4},
Pages = {180-202},
Year = {2005},
url = {http://dx.doi.org/10.1016/j.physd.2005.07.008},
Abstract = {We investigate the steady-state solution and its
bifurcations in time-delay systems with band-limited
feedback. This is a first step in a rigorous study
concerning the effects of AC-coupled components in nonlinear
devices with time-delayed feedback. We show that the steady
state is globally stable for small feedback gain and that
local stability is lost, generically, through a Hopf
bifurcation for larger feedback gain. We provide simple
criteria that determine whether the Hopf bifurcation is
supercritical or subcritical based on the knowledge of the
first three terms in the Taylor-expansion of the
nonlinearity. Furthermore, the presence of double-Hopf
bifurcations of the steady state is shown, which indicates
possible quasiperiodic and chaotic dynamics in these
systems. As a result of this investigation, we find that
AC-coupling introduces fundamental differences to systems of
Ikeda-type [K. Ikeda, K. Matsumoto, High-dimensional chaotic
behavior in systems with time-delayed feedback, Physica D 29
bifurcations, e.g. bifurcations exist in which limit cycles
are created with periods other than the fundamental
"period-2" mode found in Ikeda-type systems. © 2005
Doi = {10.1016/j.physd.2005.07.008},
Key = {fds246470}
}

@article{fds246329,
Author = {Dawes, AMC and Zhu, Z and Gauthier, DJ},
Title = {Improving the bandwidth of SBS-based slow-light
delay},
Journal = {Conference on Lasers and Electro-Optics and 2006 Quantum
Electronics and Laser Science Conference, CLEO/QELS
2006},
Year = {2006},
url = {http://dx.doi.org/10.1109/CLEO.2006.4628099},
Abstract = {Frequency modulating the pump laser in SBS slow-light delay
systems increases the effective Brillouin bandwidth by
nearly two orders of magnitude, making the fiber Brillouin
amplifier technique applicable to all-optical controllable
delay of Gb/s data. © 2006 Optical Society of
America.},
Doi = {10.1109/CLEO.2006.4628099},
Key = {fds246329}
}

@article{fds246309,
Author = {Stenner, MD and Gauthier, DJ},
Title = {Induced-modulation-instabilities limit to "fast" light
propagation},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {74},
Pages = {175-},
Year = {2002},
Abstract = {Induced modulation instability is discussed in the context
of high-gain bichromatically-driven atomic systems and
specifically in the context of fast-light pulse propagation.
Practical limitations that the induced modulation
instability poses on this method for creating faster-than-c
pulses are outlined.},
Key = {fds246309}
}

@article{fds246235,
Author = {Christensen, B and Kumor, D and McCusker, K and Chandar, V and Gauthier,
D and Kwiat, P},
Title = {Information reconciliation in higher-dimensional quantum
cryptography},
Journal = {Optics InfoBase Conference Papers},
Year = {2013},
Month = {December},
ISSN = {2162-2701},
Abstract = {We report on a high-speed quantum cryptography system that
utilizes simultaneous entanglement in polarization and
time-bins. We also show a practical implementation of
information reconciliation using concatenated low density
parity check codes. © 2013 Optical Society of
America.},
Key = {fds246235}
}

@article{fds246386,
Author = {Lee, M and Zhu, Y and Gauthier, DJ and Gehm, ME and Neifeld,
MA},
Title = {Information-theoretic analysis of a stimulated-Brillouin-scattering-based
slow-light system},
Journal = {Appl. Opt.},
Volume = {50},
Number = {32},
Pages = {6063},
Year = {2011},
Month = {October},
ISSN = {1559-128X},
url = {http://hdl.handle.net/10161/5103 Duke open
access},
Abstract = {We use an information-theoretic method developed by Neifeld
and Lee [J. Opt. Soc. Am. A 25, C31 (2008)] to analyze the
performance of a slow-light system. Slow-light is realized
in this system via stimulated Brillouin scattering in a 2
km-long, room-temperature, highly nonlinear fiber pumped by
a laser whose spectrum is tailored and broadened to 5GHz. We
compute the information throughput (IT), which quantifies
the fraction of information transferred from the source to
the receiver and the information delay (ID), which
quantifies the delay of a data stream at which the
information transfer is largest, for a range of experimental
parameters.We also measure the eye-opening (EO) and
signal-to-noise ratio (SNR) of the transmitted data stream
and find that they scale in a similar fashion to the
information-theoretic method. Our experimental findings are
compared to a model of the slow-light system that accounts
for all pertinent noise sources in the system as well as
data-pulse distortion due to the filtering effect of the SBS
process. The agreement between our observations and the
predictions of our model is very good. Furthermore, we
compare measurements of the IT for an optimal flattop gain
profile and for a Gaussianshaped gain profile. For a given
pump-beam power, we find that the optimal profile gives a
36% larger ID and somewhat higher IT compared to the
Gaussian profile. Specifically, the optimal (Gaussian)
profile produces a fractional slow-light ID of 0.94 (0.69)
and an IT of 0.86 (0.86) at a pump-beam power of 450mW and a
data rate of 2:5 Gbps. Thus, the optimal profile better
utilizes the available pump-beam power, which is often a
valuable resource in a system design. © 2011 Optical
Society of America.},
Doi = {10.1364/AO.50.006063},
Key = {fds246386}
}

@article{fds246295,
Author = {GAUTHIER, DJ and CONCANNON, HM},
Title = {INSTABILITIES IN 2-PHOTON LASERS},
Journal = {CHAOS IN OPTICS},
Volume = {2039},
Pages = {198-205},
Year = {1993},
ISBN = {0-8194-1288-0},
Key = {fds246295}
}

@article{fds44129,
Author = {P. Narum and D.J. Gauthier and R.W. Boyd},
Title = {Instabilities in a self-pumped phase conjugate
mirror},
Pages = {298 - 301},
Booktitle = {Optical Bistability III},
Publisher = {Springer-Verlag, Berlin},
Editor = {H.M. Gibbs and P. Mandel and N. Peyghambarian and S.D.
Smith},
Year = {1986},
Key = {fds44129}
}

@article{fds246447,
Author = {Boyd, RW and Gaeta, AL and Gauthier, DJ and Malcuit, MS and Narum,
P},
Title = {INSTABILITIES IN FOUR-WAVE MIXING.},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {667},
Pages = {156-162},
Year = {1986},
ISBN = {0892527021},
Abstract = {Recent research on instabilities in the four-wave mixing
process is summarized. The four-wave mixing process can
cause a laser beam to become unstable to the growth of new
frequency components as the beam propagates through a
nonlinear medium. Similar instabilities can occur in more
complicated optical systems such as lasers and bistable
optical devices. The nature of the instability is very
different for nonlinearities resulting from one- and
two-photon resonances in the susceptibility describing
four-wave mixing. The four wave mixing process can lead to
chaotic behavior in a self-pumped phase conjugate
mirror.},
Key = {fds246447}
}

@article{fds44130,
Author = {R.W. Boyd and D.J. Gauthier and M.S. Malcuit},
Title = {Instabilities in the propagation of laser beams through
atomic vapors},
Pages = {334 - 336},
Booktitle = {Optical Instabilities},
Publisher = {Cambridge University Press, New York},
Editor = {R.W. Boyd and M.G. Raymer and L.M. Narducci},
Year = {1986},
Key = {fds44130}
}

@article{fds324416,
Author = {Gauthier, DJ},
Title = {Instability limits to "fast light" optical pulse
propagation},
Journal = {2003 European Quantum Electronics Conference, EQEC
2003},
Pages = {117},
Year = {2003},
Month = {January},
ISBN = {0780377338},
url = {http://dx.doi.org/10.1109/EQEC.2003.1313974},
Abstract = {This work demonstrates a novel experimental configuration
that uses two potassium vapor cells, each of which is pumped
by a single monochromatic beam, to suppress modulation
instability. The linear dispersive properties of the
combined system gives rise to fast light (similar to
dispersion management in optical telecommunication systems),
but the induced modulation instability cannot occur because
no atom experience the combined effect of both pump
frequencies. Results also show the electronic power spectrum
of the detected fluctuations in the transmitted bichromatic
pump beam, optical pulse propagation through a cell of
potassium atoms pumped by a bichromatic field, and a large
fast-light pulse advancement using the two-zone
setup.},
Doi = {10.1109/EQEC.2003.1313974},
Key = {fds324416}
}

@article{fds246354,
Author = {Zhu, Y and Wang, J and Zhang, R and Gauthier, DJ},
Title = {Interference of FSBS and Kerr effect in a standard
highly-nonlinear fiber},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {7917},
Year = {2011},
ISSN = {0277-786X},
url = {http://dx.doi.org/10.1117/12.876817},
Abstract = {We observe efficient forward stimulated Brillouin scattering
(FSBS) in a standard 2-km highly-nonlinear optical fiber
(NHLF), where we see multiple resonance peaks between 425
MHz to 1.1 GHz. The most efficient acoustooptical coupling
appears for the 20th radially-guided acoustic mode at 933.8
MHz, which has maximum spatial overlapping with the tightly
confined optical mode in the NHLF fiber. A large gain
coefficient of 34.7 W-1 is obtained at this resonance when
pumped with a 8 mW continuous-wave (cw) beam at 1550 nm, and
an enhanced gain of 57.6 is obtained by using a pulsed pump
beam at 80 mW. Interference between the FSBS process and the
Kerr effect is observed to enhance the resonance and cause
asymmetric profile for the observed resonances. © 2011
SPIE.},
Doi = {10.1117/12.876817},
Key = {fds246354}
}

@booklet{Gauthier96,
Author = {Gauthier, DJ and Bienfang, JC},
Title = {Intermittent loss of synchronization in coupled chaotic
oscillators: Toward a new criterion for high-quality
synchronization},
Journal = {Physical Review Letters},
Volume = {77},
Number = {9},
Pages = {1751-1754},
Year = {1996},
Abstract = {We observe incomplete synchronization of coupled chaotic
oscillators over a wide range of coupling strengths and
coupling schemes for which high-quality synchronization is
expected. Long intervals of high-quality synchronization are
interrupted at irregular times by large, brief
desynchronization events that can be attributed to
"attractor bubbling," clearly demonstrating that the
standard synchronization criterion is not always useful in
experiments. We suggest a simple method for rapidly
selecting the coupling schemes that are most likely to
produce high-quality synchronization.},
Key = {Gauthier96}
}

@article{fds4914,
Author = {D.J. Gauthier},
Title = {Intermittent loss of synchronized chaos under conditions
when high-quality synchronization is expected},
Pages = {383-394},
Booktitle = {Proceedings of the 4th Experimental Chaos
Conference},
Publisher = {World Scientific, Singapore},
Editor = {M. Ding and W. Ditto and L. Pecora and M. Spano and S.
Vohra},
Year = {1998},
Key = {fds4914}
}

@article{fds246361,
Author = {Gauthier, DJ and Brown, WJ and Gardner, JR and Vilaseca,
R},
Title = {Laser beam amplification resulting from collective atomic
recoil},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {12},
Pages = {110-111},
Year = {1997},
Abstract = {The theory that large laser beam amplification resulting
from the coherent driving of the atomic dipole moment is
discussed. The coherent driving is expected even when the
effects of the atomic recoil are ignored. The amplification
occurs over a similar spectral region where large atomic
recoil induced gain is predicted. The experiments of Hemmer
and Lippi are discussed in light of a possible complex
interplay between collective atomic recoil
effects.},
Key = {fds246361}
}

@article{fds246348,
Author = {Zhu, Z and Gauthier, DJ and Boyd, RW},
Title = {Light storage via stimulated brillouin scattering in an
optical fiber},
Journal = {Optics & Photonics News},
Volume = {19},
Number = {12},
Pages = {40-},
Year = {2008},
ISSN = {1047-6938},
url = {http://dx.doi.org/10.1364/OPN.19.12.000040},
Abstract = {A simple method for storing optical pulses in a
room-temperature optical fiber was demonstrated. The storage
of optical data pulses is achieved by coherently
transferring their information content to a slow-moving
acoustic excitation in the fiber through their interaction
with an additional optical 'write' pulse. The acoustic
excitation is later converted back to the optical domain by
should be much shorter than the data pulses and their area
must equal π/2, to obtain high efficiency of the storage
and retrieval processes. The method uses off-the-shelf
components and operates at a wavelength of about 1.55 μm.
Results for storage and retrieval of a sequence of multiple
2-ns data pulses demonstrate that the retrieved light
replicates the input data stream with reasonable
fidelity.},
Doi = {10.1364/OPN.19.12.000040},
Key = {fds246348}
}

@article{fds246246,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL and Willner,
AE},
Title = {Limits on the time delay induced by slow-light
propagation},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We show that there are no fundamental limits to the maximum
time delay that can be achieved for pulses propagating
through slow-light media, thus suggesting the importance of
slowlight methods for practical applications. © 2005
Optical Society of America.},
Key = {fds246246}
}

@article{fds246370,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL and Willner,
AE},
Title = {Limits on the time delay induced by slow-light
propagation},
Journal = {Quantum Electronics and Laser Science Conference
(QELS)},
Volume = {1},
Pages = {214-216},
Year = {2005},
Abstract = {We show that there are no fundamental limits to the maximum
time delay that can be achieved for pulses propagating
through slow-light media, thus suggesting the importance of
slow-light methods for practical applications. © 2005
Optical Society of America.},
Key = {fds246370}
}

@article{fds246375,
Author = {Hall, GM and Holder, EJ and Cohen, SD and Gauthier,
DJ},
Title = {Low-cost chaotic radar design},
Journal = {Proc. SPIE},
Volume = {8361},
Pages = {836112},
Year = {2012},
Month = {June},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/SPIE8361_836112_2012.pdf},
Key = {fds246375}
}

@article{fds246277,
Author = {Kim, J and Clark, R and Gauthier, D},
Title = {Low-noise frequency downconversion for long-distance
distribution of entangled atomic qubits},
Journal = {2013 IEEE Photonics Society Summer Topical Meeting Series,
PSSTMS 2013},
Pages = {183-184},
Year = {2013},
url = {http://www.phy.duke.edu/~qelectron/pubs/StipcevicSPIE2013.pdf},
Abstract = {Distribution of quantum resources such as entanglement over
distances beyond a few fiber attenuation lengths requires
realization of quantum repeaters that utilize entanglement
swapping to extend the distance between the entangled qubit
pairs [1]. A quantum repeater is a small quantum computer
capable of generating entangled qubit pairs with its
neighboring repeaters and storing them in stable quantum
memories. Once the entangled pairs are generated, it will
perform Bell basis measurements, classical communication
with appropriate repeaters, and single qubit gates necessary
for entanglement swapping. For high fidelity operation, it
might perform local operations and classical communications
(LOCC) such as entanglement distillation [2] and/or quantum
error correction [3,4]. Generation of remote entangled ion
pairs mediated by photonic qubits has been demonstrated [5]
but their reach is limited since the photons used in the
experiment are in the UV part of the spectrum. Coherent
conversion of the photons emitted by Yb ion at 369.5nm to a
photon at 1310 nm would enable entanglement generation over
long distances [6]. © 2013 IEEE.},
Doi = {10.1109/PHOSST.2013.6614563},
Key = {fds246277}
}

@article{fds246418,
Author = {Pant, R and Stenner, MD and Neifeld, MA and Shi, Z and Boyd, RW and Gauthier, DJ},
Title = {Maximizing the opening of eye diagrams for slow-light
systems},
Journal = {Applied Optics},
Volume = {46},
Number = {26},
Pages = {6513-6519},
Year = {2007},
ISSN = {1559-128X},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/ApplOpt46_6513_2007.pdf},
Abstract = {We present a data-fidelity metric for quantifying distortion
in slow-light optical pulse delay devices. We demonstrate
the utility of this metric by applying it to the performance
optimization of gain-based slow-light delay systems for
Gaussian and super-Gaussian pulses. Symmetric Lorentzian
double-line and triple-line gain systems are optimized and
achieve maximum delay of 1.5 and 1.7 times the single-line
gain system delay, respectively. The resulting double-line
gain system design is qualitatively similar to the
double-line gain system designed with a previous metric, but
is tuned specifically to constrain data fidelity. © 2007
Optical Society of America.},
Doi = {10.1364/AO.46.006513},
Key = {fds246418}
}

@article{fds246394,
Author = {Boyd, RW and Gauthier, DJ and Gaeta, AL and Willner,
AE},
Title = {Maximum time delay achievable on propagation through a
slow-light medium},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {71},
Number = {2},
Pages = {023801},
Year = {2005},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA71023801.pdf},
Abstract = {We consider the question of whether there are any
fundamental limits to the maximum time delay that can be
achieved for a pulse propagating through a slow-light
medium. We include in our analysis what we consider to be
the dominant competing effects, and we show that in
principle they do not lead to a limitation on the maximum
achievable time delay. From this result we conclude that,
through optimization, one should be able to delay a pulse by
very many pulse lengths; the ability to do so can have
important implications for the use of slow-light methods for
applications in photonics. © 2005 The American Physical
Society.},
Doi = {10.1103/PhysRevA.71.023801},
Key = {fds246394}
}

@article{fds324415,
Author = {Fernández-Soler, JJ and Font, JL and Vilaseca, R and Gauthier,
DJ},
Title = {Multi-photon gain resonances and associated lasing in
coherently-driven potassium atoms},
Journal = {2003 European Quantum Electronics Conference, EQEC
2003},
Pages = {46},
Year = {2003},
Month = {January},
ISBN = {0780377338},
url = {http://dx.doi.org/10.1109/EQEC.2003.1313903},
Abstract = {This study presents a more complete and wider ranging
theoretical study of the amplification and lasing
possibilities in alkaline atoms that takes advantage of the
multiplicity of hyperfine and magnetic sublevels involved in
the 39 K 4S 1/2 -4P 1/2 transition. Using drive and probe
fields of appropriate polarizations and propagation
directions, and optically pumped atoms, (n+m) multi-photon
resonances involving absorption of n drive photons and
simultaneous emission of m probe photons can be generated.
Theoretical predictions are in good agreement with
experimental findings.},
Doi = {10.1109/EQEC.2003.1313903},
Key = {fds324415}
}

@article{fds246281,
Author = {Cohen, SD and Aragoneses, A and Rontani, D and Torrent, MC and Masoller,
C and Gauthier, DJ},
Title = {Multidimensional subwavelength position sensing using a
semiconductor laser with optical feedback},
Journal = {Optics Letters},
Volume = {38},
Number = {21},
Pages = {4331-4334},
Year = {2013},
Month = {November},
ISSN = {0146-9592},
url = {http://www.phy.duke.edu/~qelectron/pubs/OptLett38_4331_2013.pdf},
Abstract = {We demonstrate experimentally how to harness quasi-periodic
dynamics in a semiconductor laser with dual optical feedback
for measuring subwavelength changes in each arm of the
cavity simultaneously. We exploit the multifrequency
spectrum of quasi-periodic dynamics and show that
independent frequency shifts are mapped uniquely to
two-dimensional displacements of the arms in the external
cavity. Considering a laser diode operating at
telecommunication wavelength ł ≈ 1550 nm, we achieve an
average nanoscale resolution of approximately 9.8 nm
(∼λ/160). © 2013 Optical Society of America.},
Doi = {10.1364/OL.38.004331},
Key = {fds246281}
}

@article{fds246491,
Author = {Fernández-Soler, JJ and Font, JL and Vilaseca, R and Gauthier, DJ and Kul'minskii, A},
Title = {Multiphoton amplification processes and quantum-path
interferences in a coherently driven atomic
vapor},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {68},
Number = {4 B},
Pages = {043824/1-043824/13},
Year = {2003},
ISSN = {1050-2947},
Abstract = {The multiphoton gain features arising in the interaction of
a drive and a probe field of arbitrary intensities with the
D1 transition of an alkali-metal atom were theoretically
studied. Theory was used to predict gain spectra for the
situation of 39K. In addition, the effects of interference
among different quantum pathways contributing to the
observed resonance were clarified.},
Doi = {10.1103/PhysRevA.68.043824},
Key = {fds246491}
}

@article{fds246443,
Author = {Font, JL and Fernández-Soler, JJ and Vilaseca, R and Gauthier,
DJ},
Title = {Multiphoton lasing in atomic potassium: Steady-state and
dynamic behavior},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {72},
Number = {6},
Pages = {063810},
Year = {2005},
url = {http://dx.doi.org/10.1103/PhysRevA.72.063810},
Abstract = {We show theoretically that it is possible to generate laser
light based on two-photon and other high-order multiphoton
processes when an atomic beam of optically driven potassium
atoms crosses a high-finesse optical cavity. We use a
rigorous model that takes into account all the atomic
substates involved in the optical interactions and is valid
for any drive and lasing field intensities. The
polarizations of the drive and lasing fields are assumed to
be fixed. Stable and unstable laser emission branches are
obtained, which are represented as a function of cavity
detuning and are analyzed in terms of the fundamental
quantum processes yielding them. Closed-curve laser-emission
profiles are obtained for multiphoton lasing based on
processes involving more than one lasing photon. Two-photon
laser emission branches show relatively long segments of
stationary emission, combined in general with some segments
of nonstationary emission, or with segments of mixture with
three-photon emission processes. Rayleigh and hyper-Rayleigh
processes can become simultaneously resonant, entailing in
such case a large and fast transfer of population from the
atomic initial ground sublevel to other ground sublevels
with different z components of the total angular momentum.
They could be useful in generating multiphoton correlated
field states. In all cases the largest laser emission
intensities are obtained from the highest-order processes,
rather than the lowest. These results open the way to the
understanding of experiments performed in the past years and
suggest possibilities for more efficient and varied types of
multiphoton laser operation. © 2005 The American Physical
Society.},
Doi = {10.1103/PhysRevA.72.063810},
Key = {fds246443}
}

@article{fds246224,
Author = {Weicker, L and Erneux, T and Rosin, DP and Gauthier,
DJ},
Title = {Multirhythmicity in an optoelectronic oscillator with large
delay},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {91},
Number = {1},
Pages = {012910},
Year = {2015},
Month = {January},
ISSN = {1539-3755},
url = {http://dx.doi.org/10.1103/PhysRevE.91.012910},
Abstract = {An optoelectronic oscillator exhibiting a large delay in its
feedback loop is studied both experimentally and
theoretically. We show that multiple square-wave
oscillations may coexist for the same values of the
parameters (multirhythmicity). Depending on the sign of the
phase shift, these regimes admit either periods close to an
integer fraction of the delay or periods close to an odd
integer fraction of twice the delay. These periodic
solutions emerge from successive Hopf bifurcation points and
stabilize at a finite amplitude following a scenario similar
to Eckhaus instability in spatially extended systems. We
find quantitative agreements between experiments and
numerical simulations. The linear stability of the square
waves is substantiated analytically by determining the
stable fixed points of a map.},
Doi = {10.1103/PhysRevE.91.012910},
Key = {fds246224}
}

@article{fds246433,
Author = {Zhu, Z and Gauthier, DJ},
Title = {Nearly transparent SBS slow light in an optical
fiber.},
Journal = {Optics express},
Volume = {14},
Number = {16},
Pages = {7238-7245},
Year = {2006},
Month = {August},
url = {http://www.ncbi.nlm.nih.gov/pubmed/19529093},
Abstract = {Slow-light delay via stimulated Brillouin scattering (SBS)
in optical fibers is usually achieved with delay-dependent
this problem, we propose a SBS slow-light method that makes
use of two widely separated anti-Stokes absorption
resonances, and achieve nearly transparent slow light in an
optical fiber. We demonstrate the method in a highly
nonlinear optical fiber, and achieve a slow-light bandwidth
of approximately 150 MHz and a relative of delay of
approximately 0.3 for approximately 9-ns pulses with a
signal attenuation of approximately 4.8 dB.},
Key = {fds246433}
}

@article{fds246365,
Author = {Brown, WJ and Pfister, O and Gauthier, DJ},
Title = {New mechanism for continuous-wave two-photon
amplification},
Journal = {Technical Digest - European Quantum Electronics
Conference},
Pages = {200-201},
Year = {1998},
Abstract = {A probe-laser beam is amplified using a laser-driven,
high-density potassium atomic beam in the presence of a weak
magnetic field. Two σ+-polarized beams tuned near the
4S1/2-4P1/2 transition form an electromagnetically induced
trapped state by optically pumping the atoms in the 4S1/2
state. Two-photon amplification of the z-polarized probe
beam occurs when the atom makes a transition from the 4S1/2
trapped state to the 4S1/2 state in the presence of a
σ--polarized pump-beam. In this two-photon Raman process,
two photons are annihilated and two z-polarized probe
photons are created. Analysis of the quantum pathways
reveals that they add constructively, whereas other
geometries or laser beam polarizations can lead to
destructive interference between pathways.},
Key = {fds246365}
}

@article{fds321996,
Author = {Baron, A and Hoang, TB and Fang, C and Larouche, S and Gauthier, DJ and Mikkelsen, MH and Smith, DR},
Title = {Nonlinear Metal/Dielectric Plasmonic Interfaces},
Journal = {Nonlinear Optics, NLO 2015},
Year = {2015},
Month = {January},
ISBN = {9781557520012},
url = {http://dx.doi.org/10.1364/NLO.2015.NTu2B.2},
Abstract = {© 2015 OSA. We investigate theoretically and experimentally
the optical nonlinearity of metal/dielectric interfaces,
which provides a metric that predicts the scaling of
self-action as well as a means to measure χ (3) of gold
using surface plasmon polaritons.},
Doi = {10.1364/NLO.2015.NTu2B.2},
Key = {fds321996}
}

@article{fds246446,
Author = {Zhu, Z and Gauthier, DJ and Okawachi, Y and Sharping, JE and Gaeta, AL and Boyd, RW and Willner, AE},
Title = {Numerical study of all-optical slow-light delays via
stimulated Brillouin scattering in an optical
fiber},
Journal = {Journal of the Optical Society of America
B},
Volume = {22},
Number = {11},
Pages = {2378-2384},
Year = {2005},
ISSN = {0740-3224},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/JOSAB22_2378.pdf},
Abstract = {We study numerically all-optical slow-light delays in
room-temperature single-mode optical fibers induced by
stimulated Brillouin scattering. We consider the propagation
of a pulse through a cw-pumped Brillouin fiber amplifier,
where the carrier frequency of the pulse is tuned near the
Stokes resonance. Pulse delay and broadening of the Stokes
pulse are studied in the small-signal and gain-saturation
regimes. Pulse delay is shown to be limited by saturation of
the Brillouin amplifier. In the small-signal regime, both
time delay and pulse broadening increase with increasing
gain. In the gain-saturation regime, both time delay and
broadening decrease with increasing gain, and the pulse even
achieves advancement. Time delay of more than one
pulse-width is observed with modest pulse distortion, and
over one pulse-width advancement can be obtained with larger
pulse distortion in the gain-saturation regime. © 2005
Optical Society of America.},
Doi = {10.1364/JOSAB.22.002378},
Key = {fds246446}
}

@article{fds246253,
Author = {Zhu, Z and Gauthier, DJ and Okawachi, Y and Gaeta, AL and Schweinsberg,
A and Boyd, RW},
Title = {Numerical study of slow light via stimulated Brillouin
scattering in optical fibers},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {We study numerically Stokes pulse propagation in a
continuous-wave-pumped Brillouin fiber amplifier. Time delay
and pulse broadening of the Stokes pulse are studied in the
small-signal and saturation regimes. © 2005 Optical Society
of America.},
Key = {fds246253}
}

@article{fds246242,
Author = {Zhu, Z and Gauthier, DJ and Okawachi, Y and Gaeta, AL and Schweinsberg,
A and Boyd, RW},
Title = {Numerical study of slow light via stimulated brillouin
scattering in optical fibers},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We study numerically Stokes pulse propagation in a
continuous-wave-pumped Brillouin fiber amplifier. Time delay
and pulse broadening of the Stokes pulse are studied in the
small-signal and saturation regimes. © 2005 Optical Society
of America.},
Key = {fds246242}
}

@article{fds246245,
Author = {Zhu, Z and Gauthier, DJ and Okawachi, Y and Gaeta, AL and Schweinsberg,
A and Boyd, RW},
Title = {Numerical study of slow light via stimulated Brillouin
scattering in optical fibers},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We study numerically Stokes pulse propagation in a
continuous-wave-pumped Brillouin fiber amplifier. Time delay
and pulse broadening of the Stokes pulse are studied in the
small-signal and saturation regimes. © 2005 Optical Society
of America.},
Key = {fds246245}
}

@article{fds246321,
Author = {Zhu, Z and Gauthier, DJ and Okawachi, Y and Gaeta, AL and Schweinsberg,
A and Boyd, RW},
Title = {Numerical study of slow light via stimulated Brillouin
scattering in optical fibers},
Journal = {Quantum Electronics and Laser Science Conference
(QELS)},
Volume = {2},
Pages = {844-846},
Year = {2005},
Abstract = {We study numerically Stokes pulse propagation in a
continuous-wave-pumped Brillouin fiber amplifier. Time delay
and pulse broadening of the Stokes pulse are studied in the
small-signal and saturation regimes. ©2005 Optical Society
of America.},
Key = {fds246321}
}

@article{fds44137,
Author = {D.J. Gauthier and H.M. Concannon},
Title = {Observation of 30% continuous-wave two-photon
amplification},
Pages = {501 - 502},
Booktitle = {Coherence and Quantum Optics VIII},
Publisher = {Plenum, New York},
Editor = {J.H. Eberly and L. Mandel and E. Wolf},
Year = {1995},
Key = {fds44137}
}

@article{fds246294,
Author = {Gauthier, DJ and Concannon, HM},
Title = {Observation of 30% continuous-wave two-photon optical
amplification},
Journal = {COHERENCE AND QUANTUM OPTICS VII},
Pages = {501-502},
Year = {1996},
ISBN = {0-306-45314-2},
Key = {fds246294}
}

@booklet{Gauthier87,
Author = {Gauthier, DJ and Narum, P and Boyd, RW},
Title = {Observation of deterministic chaos in a phase-conjugate
mirror},
Journal = {Physical Review Letters},
Volume = {58},
Number = {16},
Pages = {1640-1643},
Year = {1987},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.58.1640},
Abstract = {Deterministic chaos in the intensity of the beam produced by
a barium titanate self-pumped phase-conjugate mirror has
been observed. The correlation exponent of the strange
attractor is found to depend on the crystal orientation and
to lie within the range 1.2 to 2.4, and the order-two Renyi
entropy is found to increase with increasing laser intensity
and to be as large as 22 bits/sec. A standard model of
self-pumped phase conjugation due to four-wave mixing has
been generalized to include time dependence. This model
predicts frequency shifts and chaotic behavior for the
reflectivity. © 1987 The American Physical
Society.},
Doi = {10.1103/PhysRevLett.58.1640},
Key = {Gauthier87}
}

@article{fds246261,
Author = {Guilbert, H and Wong, YP and Gauthier, DJ},
Title = {Observation of elliptical patterns in type I spontaneous
parametric down conversion},
Journal = {Optics InfoBase Conference Papers},
Year = {2013},
Month = {January},
Abstract = {We measure the spatial profile of down-converted light from
Type-I SPDC in BBO and BiBO crystals. We find BiBO (BBO)
produces elliptical (circular) transverse patterns because
the generated light experiences an angle-dependent
(-independent) refractive index. © OSA 2013.},
Key = {fds246261}
}

@article{fds246204,
Author = {Guilbert, HE and Wong, Y-P and Gauthier, DJ},
Title = {Observation of elliptical rings in type-I spontaneous
parametric downconversion},
Journal = {Journal of the Optical Society of America
B},
Volume = {32},
Number = {10},
Pages = {2096-2096},
Year = {2015},
Month = {October},
ISSN = {0740-3224},
url = {http://dx.doi.org/10.1364/JOSAB.32.002096},
Doi = {10.1364/JOSAB.32.002096},
Key = {fds246204}
}

@article{fds246268,
Author = {Zhu, Y and Wang, J and Zhang, R and Gauthier, DJ},
Title = {Observation of forward stimulated brillouin scattering in a
standard highly-nonlinear fiber},
Journal = {Optics InfoBase Conference Papers},
Year = {2010},
Month = {December},
Abstract = {We observe forward stimulated Brillouin scattering (FSBS) in
a standard highly-nonlinear optical fiber a numerous
acoustic resonance frequencies that occur between ~30 MHz to
beyond the detection limit of 1.5 GHz. © 2010 Optical
Society of America.},
Key = {fds246268}
}

@article{fds246369,
Author = {Stenner, MD and Gauthier, DJ},
Title = {Observation of large "fast light" pulse advancement without
distortion},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {89},
Pages = {QMK3/1-QMK3/2},
Year = {2003},
Abstract = {We observe pulses advanced by 15% of their width and
experiencing only minor distortion using laser-driven
potassium atoms in a novel configuration that avoids
competing nonlinear optical effects. ©2002 Optical Society
of America.},
Key = {fds246369}
}

@article{fds246410,
Author = {Cabrera-Granado, E and Calderón, OG and Melle, S and Gauthier,
DJ},
Title = {Observation of large 10-Gb/s SBS slow light delay with low
distortion using an optimized gain profile},
Journal = {Opt. Express},
Volume = {16},
Number = {16032},
Pages = {16032-16042},
Year = {2008},
Month = {September},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptExpress16_16032_2008.pdf},
Abstract = {An optimum SBS gain profile is designed to achieve better
slow-light performance. It consists of a nearly flat-top
profile with sharp edges. Tunable delays up to 3 pulse
widths for 100-ps-long input pulses, corresponding to 10
Gb/s data rates, are found while keeping an output-input
pulse-width ratio below 1.8. Bit-error-rate (BER)
measurements performed for a non-return-to-zero modulation
format demonstrates 28 ps of delay under error-free
operation.},
Key = {fds246410}
}

@article{fds304568,
Author = {Cabrera-Granado, E and Calderón, OG and Melle, S and Gauthier,
DJ},
Title = {Observation of large 10-Gb/s SBS slow light delay with low
distortion using an optimized gain profile.},
Journal = {Optics express},
Volume = {16},
Number = {20},
Pages = {16032-16042},
Year = {2008},
Month = {September},
url = {http://www.ncbi.nlm.nih.gov/pubmed/18825242},
Abstract = {An optimum SBS gain profile is designed to achieve better
slow-light performance. It consists of a nearly flat-top
profile with sharp edges. Tunable delays up to 3 pulse
widths for 100-ps-long input pulses, corresponding to 10
Gb/s data rates, are found while keeping an output-input
pulse-width ratio below 1.8. Bit-error-rate (BER)
measurements performed for a non-return-to-zero modulation
format demonstrates 28 ps of delay under error-free
operation.},
Key = {fds304568}
}

@booklet{Concannon97,
Author = {Concannon, HM and Brown, WJ and Gardner, JR and Gauthier,
DJ},
Title = {Observation of large continuous-wave two-photon optical
amplification},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {56},
Number = {2},
Pages = {1519-1523},
Year = {1997},
Abstract = {We observe 30% two-photon optical amplification of a probe
laser-field propagating through a laser-pumped potassium
vapor. This amplification is spectrally isolated and
substantially larger than that of previously reported
continuous-wave two-photon amplifiers. The combination of
large amplification and spectral isolation of the two-photon
gain feature will greatly facilitate precise studies of the
photon statistics of this highly nonlinear quantum amplifier
and the development and characterization of a two-photon
laser based on this gain medium. We also observe
spectrally-distinct three-photon amplification (∼5%) in
the same system under different experimental conditions. We
present a simple model of the interaction that gives
qualitative agreement with our observations and explains the
dependence of the two-photon gain on the various system
parameters. This model predicts that the size of the
two-photon gain is quite sensitive to an interference
between two different quantum pathways.},
Key = {Concannon97}
}

@booklet{Gauthier91,
Author = {Gauthier, DJ and Zhu, Y and Mossberg, TW},
Title = {Observation of linewidth narrowing due to coherent
stabilization of quantum fluctuations},
Journal = {Physical Review Letters},
Volume = {66},
Number = {19},
Pages = {2460-2463},
Year = {1991},
Abstract = {Quantum fluctuations of an optical transition moment are
observed to be suppressed by strong coherent excitation of a
weak auxiliary transition. The stabilization is manifest
through the appearance of subnatural linewidths in the
resonance fluorescence spectrum and is due to coherent
mixing of atomic states. Our results are in quantitative
agreement with the predictions of L. M. Narducci et al.
[Phys. Rev. A 42, 1630 (1990)].},
Key = {Gauthier91}
}

@article{fds246308,
Author = {Gauthier, DJ and Pfister, O and Brown, WJ and Stenner,
MD},
Title = {Observation of polarization instabilities and chaos in a
two-photon laser},
Journal = {Optics & Photonics News},
Volume = {12},
Number = {12},
Pages = {58-},
Year = {2001},
ISSN = {1047-6938},
Abstract = {Polarization instabilities and chaos in a two-photon laser
were discussed. The power of the beam emitted from the
two-photon laser resonator was measured. Results showed that
it is possible to suppress the instabilities using a strong
magnetic field to lift the degeneracy of the different
quantum pathways.},
Key = {fds246308}
}

@booklet{Gauthier83,
Author = {Gauthier, DJ and Krasinski, J and Boyd, RW},
Title = {Observation of resonantly enhanced sum-frequency generation
involving sodium rydberg states},
Journal = {Opt. Lett.},
Volume = {8},
Number = {4},
Pages = {211-213},
Year = {1983},
Key = {Gauthier83}
}

@article{fds246243,
Author = {Jeong, H and Dawes, AMC and Gauthier, DJ},
Title = {Observation of the sommerfeld precursor},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We study the generation of optical precursors when a
step-modulated optical pulse propagates through a linear
resonant absorber. The Sommerfeld precursor is the dominant
part of the transmitted field, and experiences essentially
no absorption. © 2005 Optical Society of
America.},
Key = {fds246243}
}

@article{fds246319,
Author = {Dawes, AMC and Clark, SM and Illing, L and Gauthier,
DJ},
Title = {Observation of ultra-low-light-level all-optical
switching},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {5735},
Pages = {60-68},
Booktitle = {Proc. SPIE},
Editor = {H. J. Coufal and Z. U. Hasan and A. E. Craig},
Year = {2005},
ISSN = {0277-786X},
url = {http://dx.doi.org/10.1117/12.601704},
Abstract = {Photonic circuits require elements that can control optical
signals with other optical signals. Ultra-low-light-level
operation of all-optical switches opens the possibility of
photonic devices that operate in the single-quantum regime,
a prerequisite for quantum-photonic devices. We describe a
new type of all-optical switch that exploits the extreme
sensitivity to small perturbations displayed by
instability-generated dissipative optical patterns. Such
patterns, when controlled by applied perturbations, enable
control of microwatt-power-level output beams by an input
beam that is over 600 times weaker. In comparison,
essentially all experimental realizations of light-by-light
switching have been limited to controlling weak beams with
beams of either comparable or higher power, thus limiting
their implementation in cascaded switching networks or
computation machines. Furthermore, current research suggests
that the energy density required to actuate an all-optical
switch is of the order of one photon per optical cross
section. Our measured switching energy density of ∼4.4 ×
10-2 photons per cross section suggests that our device can
operate at the single-photon level with modest system
improvement.},
Doi = {10.1117/12.601704},
Key = {fds246319}
}

@article{fds246213,
Author = {Gauthier, DJ and Schmittberger, BL},
Title = {Observation of ultra-low-light-level self-organized pattern
formation in driven cold atoms,},
Year = {2014},
Month = {January},
url = {http://www.pqeconference.com/pqe2014/abstractd/61p.pdf},
Key = {fds246213}
}

@article{fds246402,
Author = {Cavalcante, HLDDS and Gauthier, DJ and Socolar, JES and Zhang,
R},
Title = {On the origin of chaos in autonomous Boolean
networks.},
Journal = {Philosophical Transactions A},
Volume = {368},
Number = {1911},
Pages = {495-513},
Year = {2010},
Month = {January},
ISSN = {1364-503X},
url = {http://www.ncbi.nlm.nih.gov/pubmed/20008414},
Abstract = {We undertake a systematic study of the dynamics of Boolean
networks to determine the origin of chaos observed in recent
experiments. Networks with nodes consisting of ideal logic
gates are known to display either steady states, periodic
behaviour or an ultraviolet catastrophe where the number of
logic-transition events circulating in the network per unit
time grows as a power law. In an experiment, the non-ideal
behaviour of the logic gates prevents the ultraviolet
catastrophe and may lead to deterministic chaos. We identify
certain non-ideal features of real logic gates that enable
chaos in experimental networks. We find that short-pulse
rejection and asymmetry between the logic states tend to
engender periodic behaviour, at least for the simplest
networks. On the other hand, we find that a memory effect
termed 'degradation' can generate chaos. Our results
strongly suggest that deterministic chaos can be expected in
a large class of experimental Boolean-like networks. Such
devices may find application in a variety of technologies
requiring fast complex waveforms or flat power spectra, and
can be used as a test-bed for fundamental studies of
real-world Boolean-like networks.},
Doi = {10.1098/rsta.2009.0235},
Key = {fds246402}
}

@article{fds246338,
Author = {Gauthier, DJ},
Title = {Optical communications: Solitons go slow},
Journal = {Nature Photonics},
Volume = {1},
Number = {2},
Pages = {92-93},
Year = {2007},
ISSN = {1749-4885},
url = {http://dx.doi.org/10.1038/nphoton.2006.91},
Doi = {10.1038/nphoton.2006.91},
Key = {fds246338}
}

@article{fds246215,
Author = {Gauthier, DJ and Schmittberger, BL},
Title = {Optical Pattern Formation in Spatially Bunched Atoms: A
Self-Consistent Model and Experiment},
Year = {2014},
Month = {June},
url = {http://meetings.aps.org/Meeting/DAMOP14/Session/N6.1},
Key = {fds246215}
}

@article{fds246399,
Author = {Oughstun, KE and Cartwright, NA and Gauthier, DJ and Jeong,
H},
Title = {Optical precursors in the singular and weak dispersion
limits},
Journal = {Journal of the Optical Society of America
B},
Volume = {27},
Number = {8},
Pages = {1664-1670},
Year = {2010},
ISSN = {0740-3224},
url = {http://hdl.handle.net/10161/5083 Duke open
access},
Abstract = {The description of the precursor fields in a
single-resonance Lorentz model dielectric is considered in
the singular and weak dispersion limits. The singular
dispersion limit is obtained as the damping approaches zero
and the material dispersion becomes increasingly
concentrated about the resonance frequency. The algebraic
peak amplitude decay of the Brillouin precursor with
propagation distance z&gt;0 then changes from a z-1/2 to a z
-1/3 behavior. The weak dispersion limit is obtained as the
material density decreases to zero. The material dispersion
then becomes vanishingly small everywhere and the precursors
become increasingly compressed in the space-time domain
immediately following the speed-of-light point (z,
t)=(z,z/c). In order to circumvent the numerical
difficulties introduced in this case, an approximate
equivalence relation is derived that allows the propagated
field evolution due to an ultrawideband signal to be
calculated in an equivalent dispersive medium that is highly
absorptive. © 2010 Optical Society of America.},
Doi = {10.1364/JOSAB.27.001664},
Key = {fds246399}
}

@article{fds246356,
Author = {Oughstun, KE and Cartwright, NA and Gauthier, DJ and Jeong,
H},
Title = {Optical precursors in the singular and weak dispersion
Journal = {Journal of the Optical Society of America
B},
Volume = {28},
Number = {3},
Pages = {468-469},
Year = {2011},
ISSN = {0740-3224},
url = {http://dx.doi.org/10.1364/JOSAB.28.000468},
Abstract = {The comment by Macke and Ségard [J. Opt. Soc. Am. B 28,
450-452 (2011)] of our recently published paper [J. Opt.
Soc. Am. B 27, 1664-1670 (2010)] is shown here to be
primarily due to a misunderstanding of the raison d'être of
our paper. © 2011 Optical Society of America.},
Doi = {10.1364/JOSAB.28.000468},
Key = {fds246356}
}

@booklet{Wu94,
Author = {Wu, Q and Gauthier, DJ and Mossberg, TW},
Title = {Optical resonance and coherent transients in dressed atomic
systems},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {50},
Number = {2 pt B},
Pages = {1474-1478},
Year = {1994},
url = {http://dx.doi.org/10.1103/PhysRevA.50.1474},
Abstract = {The transient excitation of dressed atom which are composite
systems consisting of a light field and an atom was
experimentally investigated. It was demonstrated that a
secondary excitation field, weak compared to the dressing
field, can be used to excite transitions of the composite
light plus atom molecule. Parameter ranges were considered
where the dynamics noted can be described simply in terms of
the dynamics of monochromatically driven dressed atoms. Due
to the complexity of bare-atom dynamics in the existence of
bichromatic excitation, the aspect of dressed atom is
particularly relevant. Steady-state extensions of the
dressed-atom approach to treating bichromatic excitation may
have application in different areas such as optical atom
cooling and trapping.},
Doi = {10.1103/PhysRevA.50.1474},
Key = {Wu94}
}

@article{fds246244,
Author = {Gauthier, DJ},
Title = {Optical visualization of nonlinear pattern dynamics in
biological systems},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {The development of voltage-sensitive and ion-specific
organic dyes has revolutionized the visualization of complex
spatio-temporal patterns in biological systems. I will
review how these tools can be used to visual dynamics of the
heart. © 2005 Optical Society of America.},
Key = {fds246244}
}

@article{fds246237,
Author = {Gaeta, AL and Okawachi, Y and Ghosh, S and Sharping, JE and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {Optically tunable "slow" light in waveguides},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We describe our recent research efforts to produce tunable,
all-optical slow light by stimulated scattering in
conventional optical fibers and via electromagnetically-induced
transparency in photonic band-gap fibers. © 2005 Optical
Society of America.},
Key = {fds246237}
}

@article{fds246225,
Author = {Gaeta, AL and Okawachi, Y and Ghosh, S and Sharping, JE and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {Optically tunable “slow“ light in waveguides},
Journal = {Nonlinear Guided Waves and Their Applications, NLGW
2005},
Year = {2005},
Month = {January},
ISBN = {1557527911},
Abstract = {We describe our recent research efforts to produce tunable,
all-optical slow light by stimulated scattering in
conventional optical fibers and via electromagnetically-induced
transparency in photonic band-gap fibers. © 2005 Optical
Society of America.},
Key = {fds246225}
}

@article{fds246413,
Author = {Pant, R and Stenner, MD and Neifeld, MA and Gauthier,
DJ},
Title = {Optimal pump profile designs for broadband SBS slow-light
systems},
Journal = {Optics express},
Volume = {16},
Number = {4},
Pages = {2764-2777},
Year = {2008},
ISSN = {1094-4087},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptExpress16_2764_2008.pdf},
Abstract = {We describe a methodology for designing the optimal gain
profiles for gain-based, tunable, broadband, slow-light
pulse delay devices based on stimulated Brillouin
scattering. Optimal gain profiles are obtained under system
constraints such as distortion, total pump power, and
maximum gain. The delay performance of three candidate
systems: Gaussian noise pump broadened (GNPB), optimal
gain-only, and optimal gain+absorption are studied using
Gaussian and super-Gaussian pulses. For the same pulse
bandwidth, we find that the optimal gain+absorption medium
improves the delay performance by 2.1 times the GNPB medium
delay and 1.3 times the optimal gain-only medium delay for
Gaussian pulses. For the super-Gaussian pulses the optimal
gain-only medium provides a fractional pulse delay 1.8 times
the GNPB medium delay. © 2008 Optical Society of
America.},
Doi = {10.1364/OE.16.002764},
Key = {fds246413}
}

@article{fds246254,
Author = {Gauthier, DJ and Zhu, Z and Dawes, AMC and Zhang, L and Willner,
AE},
Title = {Optimizing broadband SBS slow light in an optical
fiber},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {We describe how to optimize slow-light via stimulated
Brillouin scattering in a room temperature optical fiber
that is pumped with a spectrally broadened laser. Our recent
experimental results on broadband SBS slow-light will be
discussed. © 2006 Optical Society of America.},
Key = {fds246254}
}

@article{fds246419,
Author = {Berger, CM and Zhao, X and Schaeffer, DG and Dobrovolny, HM and Krassowska, W and Gauthier, DJ},
Title = {Period-doubling bifurcation to alternans in paced cardiac
tissue: crossover from smooth to border-collision
characteristics.},
Journal = {Physical Review Letters},
Volume = {99},
Number = {5},
Pages = {058101},
Year = {2007},
Month = {August},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/17930795},
Abstract = {We investigate, both experimentally and theoretically, the
period-doubling bifurcation to alternans in heart tissue.
Previously, this phenomenon has been modeled with either
smooth or border-collision dynamics. Using a modification of
existing experimental techniques, we find a hybrid behavior:
Very close to the bifurcation point, the dynamics is smooth,
whereas further away it is border-collision-like. The
essence of this behavior is captured by a model that
exhibits what we call an unfolded border-collision
bifurcation. This new model elucidates that, in an
experiment, where only a limited number of data points can
be measured, the smooth behavior of the bifurcation can
easily be missed.},
Doi = {10.1103/PhysRevLett.99.058101},
Key = {fds246419}
}

@article{fds246286,
Author = {Vornehm, JE and Schweinsberg, A and Shi, Z and Gauthier, DJ and Boyd,
RW},
Title = {Phase locking of multiple optical fiber channels for a
Journal = {Optics express},
Volume = {21},
Number = {11},
Pages = {13094-13104},
Year = {2013},
ISSN = {1094-4087},
url = {http://www.phy.duke.edu/~qelectron/pubs/OptExpress21_13094_2013.pdf},
Abstract = {Phase control is crucial to the operation of coherent beam
combining systems, whether for laser radar or high-power
beam combining. We have recently demonstrated a design for a
multi-aperture, coherently combined, synchronized- and
phased-array slow light laser radar (SLIDAR) that is capable
of scanning in two dimensions with dynamic group delay
compensation. Here we describe in detail the optical phase
locking system used in the design. The phase locking system
achieves an estimated Strehl ratio of 0.8, and signals from
multiple emitting apertures are phase locked simultaneously
to within p/5 radians (1/10 wave) after propagation through
2.2 km of single-mode fiber per channel. Phase locking
performance is maintained even as two independent slow light
mechanisms are utilized simultaneously. © 2013 Optical
Society of America.},
Doi = {10.1364/OE.21.013094},
Key = {fds246286}
}

@booklet{Gauthier89,
Author = {Gauthier, DJ and Boyd, RW and Jungquist, RK and Lisson, JB and Voci,
LL},
Title = {Phase-conjugate fizeau interferometer},
Journal = {Opt. Lett.},
Volume = {14},
Number = {6},
Pages = {323-325},
Year = {1989},
Month = {March},
Key = {Gauthier89}
}

@booklet{Wu94a,
Author = {Wu, Q and Gauthier, DJ and Mossberg, TW},
Title = {Phase-sensitive dynamics of bichromatically driven two-level
atoms},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {49},
Number = {3},
Pages = {1519-1522},
Year = {1994},
Abstract = {The study demonstrates the atomic dynamics in the presence
of transient bichromatic excitation. The phase-dependent
dynamics and the polarization of population with in the
doublets of dressed states are reported that describe the
atom coupled solely to the bichromatic field pump component.
The focus of the study is on the transient response of
two-level atoms to excitation by a step function bichromatic
excitation field. The role of the initial relative phase of
the bichromatic field components in determining the atomic
response is demonstrated. A complete atom pump-field
dressed-state polarization from certain initial relative
phases was also shown.},
Key = {Wu94a}
}

@article{fds246332,
Author = {Boyd, RW and Gauthier, DJ},
Title = {Photonics: Transparency on an optical chip},
Journal = {Nature},
Volume = {441},
Number = {7094},
Pages = {701-702},
Year = {2006},
ISSN = {0028-0836},
url = {http://dx.doi.org/10.1038/441701a},
Doi = {10.1038/441701a},
Key = {fds246332}
}

@article{fds246221,
Author = {Gauthier, DJ and Haynes, ND and Soriano, MC and Rosin, DP and Fischer,
I},
Title = {Physical reservoir computing with Boolean
logic},
Year = {2015},
Month = {January},
Key = {fds246221}
}

@article{fds246502,
Author = {Kul'minskii, A and Gauthier, DJ and Vilaseca, R and Fernandez Soler,
JJ and Font, JL},
Title = {Polarization behavior of a cascade / two-photon lsaer in the
presence of an arbitrarily directed magnetic
field},
Journal = {J. Opt. B: Quantum Semiclass. Opt.},
Volume = {5},
Pages = {243},
Year = {2003},
Key = {fds246502}
}

@booklet{Gauthier90,
Author = {Gauthier, DJ and Malcuit, MS and Gaeta, AL and Boyd,
RW},
Title = {Polarization bistability of counterpropagating laser
beams},
Journal = {Physical Review Letters},
Volume = {64},
Number = {15},
Pages = {1721-1724},
Year = {1990},
ISSN = {0031-9007},
Abstract = {We have observed bistability in the states of polarization
of laser beams counterpropagating through sodium vapor. No
external feedback is provided; the beams interact solely
through four-wave mixing processes.},
Key = {Gauthier90}
}

@article{fds17187,
Author = {D.J. Gauthier and O. Pfister and W.J. Brown and M.D.
Stenner},
Title = {Polarization Dynamics of a Two-Photon Laser},
Pages = {131-136},
Booktitle = {in Coherence and Quantum Optics VIII},
Publisher = {Kluwer Academic/Plenum Publishers, New York},
Editor = {N. P. Bigelow and J. H. Eberly and C. R. Stroud and I. A.
Walmsley},
Year = {2003},
Key = {fds17187}
}

@article{fds246316,
Author = {Kul'minskii, A and Gauthier, DJ and Vilaseca, R and Fernandez-Soler,
JJ and Font, JL},
Title = {Polarization dynamics of two-photon and cascade lasers in
the presence of an arbitrarily directed magnetic
field},
Journal = {Journal of Optics B: Quantum and Semiclassical
Optics},
Volume = {5},
Number = {3},
Pages = {243-253},
Year = {2003},
url = {http://dx.doi.org/10.1088/1464-4266/5/3/308},
Abstract = {We study theoretically the polarization dynamics of a new
type of quantum oscillator that is based on the two-photon
stimulated emission process in the presence of a magnetic
field of arbitrary orientation. Both cases of cascade (small
intermediate-state atomic detuning) and two-photon (large
atomic detuning) lasers are considered. The primary goal of
this work is to investigate the origin of recently observed
polarization instabilities in a two-photon laser (Pfister et
al 2001 Phys. Rev. Lett. 86 4512) using a highly simplified
model. It is found that the two-photon laser can emit
linearly polarized radiation with its plane of polarization
orthogonal to the direction of the magnetic field at small
magnetic field strengths. It can also emit elliptically
polarized radiation over a large range of magnetic field
strengths and orientations. When the magnetic field deviates
from a direction perpendicular to the laser cavity axis
periodic instabilities can appear through a Hopf
bifurcation. This dynamic regime could have contributed to
the polarization instabilities observed in the
experiment.},
Doi = {10.1088/1464-4266/5/3/308},
Key = {fds246316}
}

@article{fds246468,
Author = {Pfister, O and Brown, WJ and Stenner, MD and Gauthier,
DJ},
Title = {Polarization instabilities in a two-photon
laser.},
Journal = {Physical Review Letters},
Volume = {86},
Number = {20},
Pages = {4512-4515},
Year = {2001},
Month = {May},
ISSN = {0031-9007},
url = {http://www.ncbi.nlm.nih.gov/pubmed/11384271},
Abstract = {We describe the operating characteristics of a new type of
quantum oscillator that is based on a two-photon stimulated
emission process. This two-photon laser consists of
spin-polarized and laser-driven 39K atoms placed in a
high-finesse transverse-mode-degenerate optical resonator
and produces a beam with a power of approximately 0.2 microW
at a wavelength of 770 nm. We observe complex dynamical
instabilities of the state of polarization of the two-photon
laser, which are made possible by the atomic Zeeman
degeneracy. We conjecture that the laser could emit
polarization-entangled twin beams if this degeneracy is
lifted.},
Doi = {10.1103/PhysRevLett.86.4512},
Key = {fds246468}
}

@booklet{Gauthier88,
Author = {Gauthier, DJ and Malcuit, MS and Boyd, RW},
Title = {Polarization instabilities of counterpropagating laser beams
in sodium vapor},
Journal = {Physical Review Letters},
Volume = {61},
Number = {16},
Pages = {1827-1830},
Year = {1988},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.61.1827},
Abstract = {We have observed temporal instabilities in the polarizations
of counterpropagating laser beams in atomic sodium vapor.
For intensities slightly above the instability threshold,
the polarizations fluctuate periodically. For higher
intensities, the fluctuations are chaotic and the system
evolves on a strange attractor whose fractal dimension
increases with increasing laser intensity. © 1988 The
American Physical Society.},
Doi = {10.1103/PhysRevLett.61.1827},
Key = {Gauthier88}
}

@booklet{Kauranen89,
Author = {Kauranen, M and Gauthier, DJ and Malcuit, MS and Boyd,
RW},
Title = {Polarization properties of optical phase conjugation by
two-photon resonant degenerate four-wave
mixing},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {40},
Number = {4},
Pages = {1908-1917},
Year = {1989},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.40.1908},
Abstract = {We develop a semiclassical theory of the polarization
properties of phase conjugation by two-photon resonant
degenerate four-wave mixing. The theory includes the effects
of saturation by the pump waves. We solve the density-matrix
equations of motion in steady state for a nonlinear medium
consisting of stationary atoms with a ground and excited
state connected by two-photon transitions. As an
illustration of the general results, we consider an S0S0
two-photon transition, which is known to lead to perfect
polarization conjugation in the limit of third-order theory.
We show that the fidelity of the polarization-conjugation
process is degraded for excessively large pump intensities.
The degradation can occur both due to transfer of population
to the excited state and due to nonresonant Stark shifts.
Theoretical results are compared to those of a recent
experiment [Malcuit, Gauthier, and Boyd, Opt. Lett. 13, 663
(1988)]. © 1989 The American Physical Society.},
Doi = {10.1103/PhysRevA.40.1908},
Key = {Kauranen89}
}

@article{fds322484,
Author = {Boyd, RW and Gauthier, DJ and Kauranen, M and Malcuit, MS and Tompkin,
WR},
Title = {Polarization properties of phase conjugation by degenerate
four-wave mixing in saturable absorbers},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {1060},
Pages = {58-65},
Year = {1989},
Month = {August},
url = {http://dx.doi.org/10.1117/12.951728},
Abstract = {Dye molecules held rigidly in solid hosts display unusual
polarization properties that can be exploited to produce
nearly perfect vector phase conjugation with high
Doi = {10.1117/12.951728},
Key = {fds322484}
}

@article{fds220521,
Author = {H. L. D. de S. Cavalcante and M. Oriá and D. Sornette and E. Ott and and
D. J. Gauthier},
Title = {Precidtability and suppression of extreme events in a
chaotic system},
Journal = {Phys. Rev. Lett.},
Volume = {111},
Pages = {198701},
Year = {2013},
Month = {November},
url = {http://www.phy.duke.edu/~qelectron/pubs/PRL111_198701_2013.pdf},
Key = {fds220521}
}

@article{fds246282,
Author = {Cavalcante, HLDDS and Oria, M and Sornette, D and Ott, E and Gauthier,
DJ},
Title = {Predictability and Suppression of Extreme Events in a
Chaotic System},
Journal = {Physical Review Letters},
Volume = {111},
Number = {19},
Year = {2013},
Month = {November},
ISSN = {0031-9007},
Doi = {10.1103/PhysRevLett.111.198701},
Key = {fds246282}
}

@article{fds304571,
Author = {Hall, GM and Bahar, S and Gauthier, DJ},
Title = {Prevalence of rate-dependent behaviors in cardiac
muscle},
Journal = {Physical Review Letters},
Volume = {82},
Number = {14},
Pages = {2995-2998},
Year = {1999},
Abstract = {We explore the rate-dependent dynamic response of
periodically paced bullfrog (Rana catesbeiana) cardiac
muscle. Alternans (2:2 behavior) occur in 35% of animals and
2:1 ↔ 1:1 bistability in 74% of animals. In addition, we
observe 2:2 ↔ 2:1 bistablility. We discuss the
implications of these results for two map-based models of
cardiac dynamics. The high prevalence of bistability
suggests that this dynamical behavior must be accounted for
in the design of closed-loop feedback protocols to stabilize
cardiac dynamics. © 1999 The American Physical
Society.},
Key = {fds304571}
}

@article{fds246255,
Author = {Gauthier, DJ},
Title = {Progress on stopped light and large-delay slow light in
optical fibers},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
Month = {January},
Abstract = {Recently, slow light was achieved in room temperature
optical waveguides, which is accelerating the transition of
this technique to applications. This paper reviews recent
progress in obtaining large optically-controllable
slow-light delays. © 2007 Optical Society of
America.},
Key = {fds246255}
}

@article{fds246513,
Author = {Gauthier, DJ and Hall, GM and Oliver, RA and Dixon-Tulloch, EG and Wolf,
PD and Bahar, S},
Title = {Progress toward controlling in vivo fibrillating sheep atria
using a nonlinear-dynamics-based closed-loop feedback
method.},
Journal = {Chaos},
Volume = {12},
Number = {3},
Pages = {952-961},
Year = {2002},
Month = {September},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12779619},
Abstract = {We describe preliminary experiments on controlling in vivo
atrial fibrillation using a closed-loop feedback protocol
that measures the dynamics of the right atrium at a single
spatial location and applies control perturbations at a
single spatial location. This study allows investigation of
control of cardiac dynamics in a preparation that is
physiologically close to an in vivo human heart. The
spatial-temporal response of the fibrillating sheep atrium
is measured using a multi-channel electronic recording
system to assess the control effectiveness. In an attempt to
suppress fibrillation, we implement a scheme that paces
occasionally the cardiac muscle with small shocks. When
successful, the inter-activation time interval is the same
and electrical stimuli are only applied when the controller
senses that the dynamics are beginning to depart from the
desired periodic rhythm. The shock timing is adjusted in
real time using a control algorithm that attempts to
synchronize the most recently measured inter-activation
interval with the previous interval by inducing an
activation at a time projected by the algorithm. The scheme
is "single-sided" in that it can only shorten the
inter-activation time but not lengthen it. Using probability
distributions of the inter-activation time intervals, we
find that the feedback protocol is not effective in
regularizing the dynamics. One possible reason for the
less-than-successful results is that the controller often
attempts to stimulate the tissue while it is still in the
refractory state and hence it does not induce an activation.
(c) 2002 American Institute of Physics.},
Doi = {10.1063/1.1494155},
Key = {fds246513}
}

@article{fds246259,
Author = {Shin, H and Schweinsberg, A and Gehring, G and Schwertz, K and Chang,
HJ and Park, QH and Gauthier, DJ and Boyd, RW},
Title = {Pulse broadening or compression in fast-light pulse
propagation through an erbium-doped fiber
amplifier},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
Month = {January},
Abstract = {Pulse broadening or compression in an Er 3+ -doped fiber
amplifier is observed, and explained by gain recovery and
and minimal pulse distortion are obtained by optimizing
these competing effects. © 2006 Optical Society of
America.},
Key = {fds246259}
}

@article{fds246335,
Author = {Shin, H and Schweinsberg, A and Gehring, G and Schwertz, K and Hye, JC and Park, Q-H and Gauthier, DJ and Boyd, RW},
Title = {Pulse broadening or compression in fast-light pulse
propagation through an erbium-doped fiber
amplifier},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Year = {2007},
url = {http://dx.doi.org/10.1109/QELS.2007.4431754},
Abstract = {Pulse broadening or compression in an Er3+-doped fiber
amplifier is observed, and explained by gain recovery and
and minimal pulse distortion are obtained by optimizing
these competing effects. © 2006 Optical Society of
America.},
Doi = {10.1109/QELS.2007.4431754},
Key = {fds246335}
}

@article{fds17188,
Author = {D.J. Gauthier and M.D. Stenner},
Title = {Pulse propagation in a high-gain bichromatically-driven
Raman amplifier},
Pages = {619-620},
Booktitle = {Coherence and Quantum Optics VIII},
Publisher = {Kluwer Academic/Plenum Publishers, New York},
Editor = {N. P. Bigelow and J. H. Eberly and C. R. Stroud and I. A.
Walmsley},
Year = {2003},
Key = {fds17188}
}

@article{fds246385,
Author = {Rosin, DP and Callan, KE and Gauthier, DJ and Schöll,
E},
Title = {Pulse-train solutions and excitability in an optoelectronic
oscillator},
Journal = {EPL (Europhysics Letters)},
Volume = {96},
Number = {3},
Pages = {34001},
Year = {2011},
ISSN = {0295-5075},
url = {http://hdl.handle.net/10161/5102 Duke open
access},
Abstract = {We study an optoelectronic time-delay oscillator with
bandpass filtering for different values of the filter
bandwidth. Our experiments show novel pulse-train solutions
with pulse widths that can be controlled over a
three-order-of-magnitude range, with a minimum pulse width
of ∼150 ps. The equations governing the dynamics of our
optoelectronic oscillator are similar to the FitzHugh-Nagumo
model from neurodynamics with delayed feedback in the
excitable and oscillatory regimes. Using a nullclines
analysis, we derive an analytical proportionality between
pulse width and the low-frequency cutoff of the bandpass
filter, which is in agreement with experiments and numerical
simulations. Furthermore, the nullclines help to describe
the shape of the waveforms. © Europhysics Letters
Association.},
Doi = {10.1209/0295-5075/96/34001},
Key = {fds246385}
}

@article{fds246492,
Author = {Stenner, MD and Gauthier, DJ},
Title = {Pump-beam-instability limits to Raman-gain-doublet
"fast-light" pulse propagation},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {67},
Number = {6},
Pages = {638011-638017},
Year = {2003},
ISSN = {1050-2947},
Abstract = {A study was performed on pump-beam-instability limits to
Raman-gain-doublet 'fast-light' pulse propagation. It was
shown that the instability was attributed to the combined
effects of the cross modulation instability and stimulated
Raman scattering. The results showed that the fast-light
pulse advancement was limited to just a few percent of the
pulse width using the pulse advancement technique.},
Doi = {10.1103/PhysRevA.67.063801},
Key = {fds246492}
}

@article{fds325801,
Author = {Mirhosseini, M and Magaña-Loaiza, OS and O'Sullivan, MN and Rodenburg, B and Shi, Z and Malik, M and Lavery, MPJ and Padgett, MJ and Gauthier, DJ and Boyd, RW and Mirhosseini, M and Magaña-Loaiza, OS and O'Sullivan, MN and Rodenburg, B and Shi, Z and Malik, M and Lavery, MPJ and Padgett, MJ and Gauthier, DJ and Boyd, RW},
Title = {Quantum information with structured lightQuantum information
with structured light},
Journal = {Optics InfoBase Conference Papers},
Volume = {Part F39-LS 2016},
Year = {2014},
Month = {July},
ISBN = {9781943580194},
url = {http://dx.doi.org/10.1364/LS.2016.LTu1E.3},
Abstract = {© OSA 2016. We investigate structured photons as carriers
of quantum information. We describe our implementation of
quantum cryptography with orbital angular momentum, and
present our results on efficient implementation of quantum
state tomography for structured light fields.},
Doi = {10.1364/LS.2016.LTu1E.3},
Key = {fds325801}
}

@article{fds246389,
Author = {Boyd, RW and Jha, A and Malik, M and O'Sullivan, C and Rodenburg, B and Gauthier, DJ},
Title = {Quantum key distribution in a high-dimensional state space:
Exploiting the transverse degree of freedom of the
photon},
Journal = {Proceedings of SPIE - The International Society for Optical
Engineering},
Volume = {7948},
Pages = {79480L},
Year = {2011},
ISSN = {0277-786X},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/BoydSPIE7948_79480L_2011.pdf},
Abstract = {We describe a procedure to construct a free-space quantum
key distribution system that can carry many bits of
information per photon. We also describe the current status
of our laboratory implementation of these plans. © 2011
SPIE.},
Doi = {10.1117/12.873491},
Key = {fds246389}
}

@article{fds318444,
Author = {Gauthier, DJ and Wildfeuer, CF and Guilbert, H and Stipčević, M and Christensen, B and Kumor, D and Kwiat, P and McCusker, K and Brougham,
T and Barnett, SM},
Title = {Quantum key distribution using hyperentangled time-bin
states},
Journal = {Optics InfoBase Conference Papers},
Year = {2013},
Month = {December},
Abstract = {We describe our progress on achieving quantum key
distribution with high photon efficiency and high rate using
hyperentanglement. Methods of securing time-bin states and
classical error correction appropriate for our
high-dimension protocols will be discussed. © OSA
2013.},
Key = {fds318444}
}

@article{fds246276,
Author = {Gauthier, DJ and Guilbert, H and Zhu, Y and Shi, M and McCusker, KT and Christensen, B and Kwiat, P and Brougham, T and Barnett, SM and Chandar,
V},
Title = {Quantum key distribution using hyperentanglement},
Journal = {Optics InfoBase Conference Papers},
Year = {2012},
Month = {December},
Abstract = {We describe our progress on achieving quantum key
distribution with high photon efficiency and high rate using
hyperentanglement. Our goal is encode 10 bits per photon and
distribute a secure key at 1 Gbit/s. © 2012
OSA.},
Key = {fds246276}
}

@article{fds322483,
Author = {Stenner, MD and Gauthier, DJ},
Title = {Quantum limits to superluminal advancement},
Journal = {Technical Digest - Summaries of Papers Presented at the
Quantum Electronics and Laser Science Conference, QELS
2001},
Pages = {9},
Year = {2001},
Month = {January},
ISBN = {155752663X},
url = {http://dx.doi.org/10.1109/QELS.2001.961778},
Abstract = {© 2001 Optical Soc. Of America. Summary form only given.
Using intense electromagnetic fields, it is now possible to
tailor the absorption, amplification, and dispersion
properties of multi-level atoms. Dramatic examples include
the reduction of the group velocity of a pulse of light to
17 m/s, and increasing the group velocity to values greater
than c or even to negative values. The interpretation of a
negative group velocity is that the peak of the pulse leaves
the medium before it enters. We will discuss possible
quantum limits to the advancement of the peak of a pulse
propagating through a high-anomalous-dispersion medium and
our experiments on pulses propagating through a
dispersion-tailored potassium vapor.},
Doi = {10.1109/QELS.2001.961778},
Key = {fds322483}
}

@article{fds246363,
Author = {Brown, WJ and Gardner, JR and Gauthier, DJ},
Title = {Quantum noise properties of a saturated amplifier},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {12},
Pages = {143-},
Year = {1997},
Abstract = {The quantum noise properties of a laser beam propagating
through a laser-pumped potassium vapor in a
near-Doppler-free configuration was investigated. Large
excess noise that peaks at approximately 12 MHz with a width
of approximately 15 Mhz was observed at the lowest input
power due to nonlinear optical processes which degraded the
coherence properties of the strong pump beam. The use of
larger input beam powers led to an increase in the bandwidth
of the excess quantum noise.},
Key = {fds246363}
}

@article{fds246497,
Author = {Cain, JW and Tolkacheva, EG and Schaeffer, DG and Gauthier,
DJ},
Title = {Rate-dependent propagation of cardiac action potentials in a
one-dimensional fiber.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {70},
Number = {6 Pt 1},
Pages = {061906},
Year = {2004},
Month = {December},
ISSN = {1539-3755},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15697401},
Abstract = {Action potential duration (APD) restitution, which relates
APD to the preceding diastolic interval (DI), is a useful
tool for predicting the onset of abnormal cardiac rhythms.
However, it is known that different pacing protocols lead to
different APD restitution curves (RCs). This phenomenon,
known as APD rate dependence, is a consequence of memory in
the tissue. In addition to APD restitution, conduction
velocity restitution also plays an important role in the
spatiotemporal dynamics of cardiac tissue. We present
results concerning rate-dependent restitution in the
velocity of propagating action potentials in a
one-dimensional fiber. Our numerical simulations show that,
independent of the amount of memory in the tissue, the
wave-back velocity exhibits pronounced rate dependence and
the wave-front velocity does not. Moreover, the discrepancy
between wave-back velocity RCs is most significant for a
small DI. We provide an analytical explanation of these
results, using a system of coupled maps to relate the
wave-front and wave-back velocities. Our calculations show
that rate-dependent wave-back velocity can be present even
if neither APD nor wave-front velocity exhibits rate
dependence.},
Doi = {10.1103/PhysRevE.70.061906},
Key = {fds246497}
}

@booklet{Gauthier92,
Author = {Gauthier, DJ and Wu, Q and Morin, SE and Mossberg,
TW},
Title = {Realization of a continuous-wave, two-photon optical
laser},
Journal = {Physical Review Letters},
Volume = {68},
Number = {4},
Pages = {464-467},
Year = {1992},
ISSN = {0031-9007},
Abstract = {We report the first observation of continuous-wave
two-photon lasing in the optical regime, and demonstrate
that its initiation requires the injection of a trigger
pulse into the laser resonator. Successful operation of the
two-photon laser relies on the use of a novel gain medium
consisting of laser-driven, two-level atoms and the use of a
high-finesse optical cavity to isolate the two-photon gain
from competing processes. Threshold conditions for laser
action are in good agreement with recent theoretical
predictions.},
Key = {Gauthier92}
}

@article{fds246408,
Author = {Cabrera Granado and E and Gauthier, DJ},
Title = {Recent advancements in SBS Slow Light},
Journal = {an invited article in Opt. Pura Apl.},
Volume = {41},
Pages = {313},
Year = {2008},
Month = {December},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptPuraApl41_313_2008.pdf},
Key = {fds246408}
}

@article{fds246346,
Author = {Cabrera-Granado, E and Gauthier, DJ},
Title = {Recent advancements in stimulated-Brillouin-scattering slow
light},
Journal = {Optica Pura y Aplicada},
Volume = {41},
Number = {4},
Pages = {313-323},
Year = {2008},
ISSN = {0030-3917},
Abstract = {A review on the work performed by our group on slow light
via Stimulating Brillouin scattering (SBS) is presented. We
describe the fundamentals of the slow-light phenomena and
how SBS can be used to obtain tunable optical delays in
optical fibers. We then review the mechanisms to overcome
the limitations imposed by the narrow SBS resonance
bandwidth and to optimize the slow-light performance for
data rates used in modern telecommunication networks. We
also describe the process of coherent light storage in
optical fibers based on SBS which paves the way to optical
buffering applications. Finally, future perspectives of this
Española de Óptica.},
Key = {fds246346}
}

@article{fds246251,
Author = {Zhu, Z and Dawes, AMC and Gauthier, DJ and Stenner, MD and Neifeld, MA and Luo, T and Yu, C and Zhang, L and Willner, AE},
Title = {Recent advances in stimulated brillouin scattering slow
light},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {We will discuss progress in achieving long, low-distortion
and wide-bandwidth pulse delay via stimulated Brillouin
scattering slow light. The technique works at
telecommunication wavelength and uses off-the-shelf
components. © 2006 Optical Society of America.},
Key = {fds246251}
}

@article{fds246456,
Author = {Concannon, HM and Gauthier, DJ},
Title = {Recent advances in two-photon lasers},
Journal = {Condensed Matter News},
Volume = {3},
Pages = {7},
Year = {1994},
Key = {fds246456}
}

@article{fds246423,
Author = {Shin, H and Schweinsberg, A and Gehring, G and Schwertz, K and Chang,
HJ and Boyd, RW and Park, Q-H and Gauthier, DJ},
Title = {Reducing pulse distortion in fast-light pulse propagation
through an erbium-doped fiber amplifier},
Journal = {Optics Letters},
Volume = {32},
Number = {8},
Pages = {906-908},
Year = {2007},
ISSN = {0146-9592},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptLett32_906_2007.pdf},
Abstract = {When a pulse superposed on a cw background propagates
through an erbium-doped fiber amplifier with a negative
group velocity, either pulse broadening or pulse compression
can be observed. These effects can be explained in terms of
two competing mechanisms: gain recovery and pulse spectrum
broadening. The distortion of the pulse shape caused by
these effects depends on input pulse width, pump power, and
background-to-pulse power ratio. With the proper choice of
these three parameters, we can obtain significant pulse
Society of America.},
Doi = {10.1364/OL.32.000906},
Key = {fds246423}
}

@article{fds246392,
Author = {Hwang, RY and Gauthier, DJ and Wallace, D and Afshari,
NA},
Title = {Refractive changes after descemet stripping endothelial
keratoplasty: a simplified mathematical model.},
Journal = {Investigative Ophthalmology and Visual Science},
Volume = {52},
Number = {2},
Pages = {1043-1054},
Year = {2011},
Month = {February},
url = {http://www.ncbi.nlm.nih.gov/pubmed/21051729},
Abstract = {PURPOSE: To develop a mathematical model that can predict
refractive changes after Descemet stripping endothelial
keratoplasty (DSEK). METHODS: A mathematical formula based
on the Gullstrand eye model was generated to estimate the
change in refractive power of the eye after DSEK. This model
was applied to four DSEK cases retrospectively, to compare
measured and predicted refractive changes after DSEK.
RESULTS: The refractive change after DSEK is determined by
calculating the difference in the power of the eye before
and after DSEK surgery. The power of the eye post-DSEK
surgery can be calculated with modified Gullstrand eye model
equations that incorporate the change in the posterior
radius of curvature and change in the distance between the
principal planes of the cornea and lens after DSEK. Analysis
of this model suggests that the ratio of central to
peripheral graft thickness (CP ratio) and central thickness
can have significant effect on refractive change where
smaller CP ratios and larger graft thicknesses result in
larger hyperopic shifts. This model was applied to four
patients, and the average predicted hyperopic shift in the
overall power of the eye was calculated to be 0.83 D. This
change reflected in a mean of 93% (range, 75%-110%) of
patients' measured refractive shifts. CONCLUSIONS: This
simplified DSEK mathematical model can be used as a first
step for estimating the hyperopic shift after DSEK. Further
studies are necessary to refine the validity of this
model.},
Doi = {10.1167/iovs.10-5839},
Key = {fds246392}
}

@article{fds246216,
Author = {Gauthier, DJ and Rosin, DP and Soriano, MC and Fischer, I and Haynes,
ND},
Title = {Reservoir computing with a single autonomous Boolean node
using time-delay feedback},
Year = {2014},
Month = {June},
Key = {fds246216}
}

@article{fds246212,
Author = {Haynes, ND and Soriano, MC and Rosin, DP and Fischer, I and Gauthier,
DJ},
Title = {Reservoir computing with a single time-delay autonomous
Boolean node},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {91},
Number = {2},
Pages = {020801},
Year = {2015},
Month = {February},
ISSN = {1539-3755},
url = {http://dx.doi.org/10.1103/PhysRevE.91.020801},
Abstract = {We demonstrate reservoir computing with a physical system
using a single autonomous Boolean logic element with
time-delay feedback. The system generates a chaotic
transient with a window of consistency lasting between 30
and 300 ns, which we show is sufficient for reservoir
computing. We then characterize the dependence of
computational performance on system parameters to find the
best operating point of the reservoir. When the best
parameters are chosen, the reservoir is able to classify
short input patterns with performance that decreases over
time. In particular, we show that four distinct input
patterns can be classified for 70 ns, even though the inputs
are only provided to the reservoir for 7.5
ns.},
Doi = {10.1103/PhysRevE.91.020801},
Key = {fds246212}
}

@booklet{Zhu90,
Author = {Zhu, Y and Wu, Q and Lezama, A and Gauthier, DJ and Mossberg,
TW},
Title = {Resonance fluorescence of two-level atoms under strong
bichromatic excitation},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {41},
Number = {11},
Pages = {6574-6576},
Year = {1990},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.41.6574},
Abstract = {We have measured the emission spectrum of two-level-like Ba
atoms driven by two strong, equal-amplitude fields with
frequency separation 2. The spectrum consists of a series of
peaks with an essentially constant spacing and alternating
linewidths. These features differ qualitatively from the
characteristic triplet spectrum observed in the case of
strong monochromatic excitation. Certain features of the
observed spectrum such as its comblike structure can be
motivated in terms of the energy spectrum of atom
bichromatic-field product states. Other features, such as
the alternating linewidths, require more subtle analysis. ©
1990 The American Physical Society.},
Doi = {10.1103/PhysRevA.41.6574},
Key = {Zhu90}
}

@article{fds246467,
Author = {Gauthier, DJ},
Title = {Resource letter: CC-1: Controlling chaos},
Journal = {American journal of physics},
Volume = {71},
Number = {8},
Pages = {750-759},
Year = {2003},
ISSN = {0002-9505},
url = {http://dx.doi.org/10.1119/1.1572488},
Abstract = {This Resource Letter provides a guide to the literature on
controlling chaos. Journal articles, books, and web pages
are provided for the following: controlling chaos,
controlling chaos with weak periodic perturbations,
controlling chaos in electronic circuits, controlling
spatiotemporal chaos, targeting trajectories of nonlinear
dynamical systems, synchronizing chaos, communicating with
chaos, applications of chaos control in physical systems,
and applications of chaos control in biological systems. ©
2003 American Association of Physics Teachers.},
Doi = {10.1119/1.1572488},
Key = {fds246467}
}

@article{fds246471,
Author = {Kalb, SS and Tolkacheva, EG and Schaeffer, DG and Gauthier, DJ and Krassowska, W},
Title = {Restitution in mapping models with an arbitrary amount of
memory.},
Journal = {Chaos},
Volume = {15},
Number = {2},
Pages = {23701},
Year = {2005},
Month = {June},
ISSN = {1054-1500},
url = {http://www.ncbi.nlm.nih.gov/pubmed/16035891},
Abstract = {Restitution, the characteristic shortening of action
potential duration (APD) with increased heart rate, has been
studied extensively because of its purported link to the
onset of fibrillation. Restitution is often represented in
the form of mapping models where APD is a function of
previous diastolic intervals (DIs) and/or APDs,
A(n+1)=F(D(n),A(n),D(n-1),A(n-1),...), where A(n+1) is the
APD following a DI given by D(n). The number of variables
previous to D(n) determines the degree of memory in the
mapping model. Recent experiments have shown that mapping
models should contain at least three variables
(D(n),A(n),D(n-1)) to reproduce a restitution portrait (RP)
that is qualitatively similar to that seen experimentally,
where the RP shows three different types of restitution
curves (RCs) [dynamic, S1-S2, and constant-basic cycle
length (BCL)] simultaneously. However, an interpretation of
the different RCs has only been presented in detail for
mapping models of one and two variables. Here we present an
analysis of the different RCs in the RP for mapping models
with an arbitrary amount of memory. We determine the number
of variables necessary to represent the different RCs in the
RP. We also present a graphical visualization of these RCs.
Our analysis reveals that the dynamic and S1-S2 RCs reside
on two-dimensional surfaces, and therefore provide limited
information for mapping models with more than two variables.
However, constant-BCL restitution is a feature of the RP
that depends on higher dimensions and can possibly be used
to determine a lower bound on the dimensionality of cardiac
dynamics.},
Doi = {10.1063/1.1876912},
Key = {fds246471}
}

@article{fds246409,
Author = {Juarez, AA and Vilaseca, R and Zhu, Z and Gauthier,
DJ},
Title = {Room-temperature spectral hole burning in an engineered
Journal = {Optics Letters},
Volume = {33},
Number = {20},
Pages = {2374-2376},
Year = {2008},
Month = {October},
ISSN = {0146-9592},
url = {http://www.ncbi.nlm.nih.gov/pubmed/18923627},
Abstract = {We observe spectral hole burning in a room-temperature
optical fiber pumped by a spectrally broadened pump beam.
This beam drives the stimulated Brillouin process, creating
an inhomogeneously broadened resonance in the material whose
shape can be engineered by tailoring the beam's spectrum. A
monochromatic saturating beam "burns" a narrow spectral hole
that is approximately 10(4) times narrower than the
inhomogeneous width of the resonance. This research paves
the way toward agile optical information processing and
storage using standard telecommunication
components.},
Key = {fds246409}
}

@article{fds246260,
Author = {Gauthier, DJ and Juarez, AA and Vilaseca, R and Zhu,
Z},
Title = {Room-temperature spectral hole burning via
SBS},
Journal = {Optics InfoBase Conference Papers},
Year = {2008},
Month = {January},
Abstract = {We observe spectral hole burning in a room-temperature
optical fiber due to saturation of the stimulated Brillouin
scattering process. The spectral hole is ~104 times narrower
than the width of the resonance. © 2008 Optical Society of
America.},
Key = {fds246260}
}

@article{fds322482,
Author = {Baron, A and Larouche, S and Gauthier, DJ and Smith,
DR},
Title = {Scaling of the nonlinear response of metal/dielectric
plasmonic waveguides},
Journal = {Conference on Lasers and Electro-Optics Europe - Technical
Digest},
Volume = {2015-August},
Year = {2015},
Month = {August},
ISBN = {9781557529688},
Abstract = {© 2015 OSA. The scaling of the nonlinear response of a
single-interface plasmonic waveguide is studied, where both
the metal and dielectric display nonlinearity. We introduce
a figure-of-merit that guides metal/dielectric nanophotonic
device design for specific applications.},
Key = {fds322482}
}

@article{fds246208,
Author = {Baron, A and Larouche, S and Gauthier, DJ and Smith,
DR},
Title = {Scaling of the nonlinear response of metal/dielectric
plasmonic waveguides},
Journal = {CLEO: QELS - Fundamental Science, CLEO_QELS
2015},
Pages = {1551p},
Year = {2015},
Month = {January},
ISBN = {9781557529688},
url = {http://dx.doi.org/10.1364/CLEO_QELS.2015.FM3E.7},
Abstract = {The scaling of the nonlinear response of a single-interface
plasmonic waveguide is studied, where both the metal and
dielectric display nonlinearity. We introduce a
figure-of-merit that guides metal/dielectric nanophotonic
device design for specific applications. © OSA
2015.},
Doi = {10.1364/CLEO_QELS.2015.FM3E.7},
Key = {fds246208}
}

@article{fds246211,
Author = {Baron, A and Larouche, S and Gauthier, DJ and Smith,
DR},
Title = {Scaling of the nonlinear response of the surface plasmon
polariton at a metal/dielectric interface},
Journal = {Journal of the Optical Society of America
B},
Volume = {32},
Number = {1},
Pages = {9-9},
Year = {2015},
Month = {January},
ISSN = {0740-3224},
url = {http://dx.doi.org/10.1364/JOSAB.32.000009},
Doi = {10.1364/JOSAB.32.000009},
Key = {fds246211}
}

@article{fds246378,
Author = {Leach, J and Bolduc, E and Gauthier, DJ and Boyd,
RW},
Title = {Secure information capacity of photons entangled in many
dimensions},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {85},
Number = {6},
Pages = {060304(R)},
Year = {2012},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA85_060304_2012.pdf},
Abstract = {We quantify precisely the maximum secure information
capacity of photons entangled in high dimensions for
entanglement in the orbital angular momentum and angular
degrees of freedom. Our analysis takes careful account of
the influence of experimental imperfections, such as
nonunity detection efficiency, on the degree of
Einstein-Podolsky-Rosen (EPR) entanglement and hence on the
secure information capacity of the photon pairs. We find
that there is is an optimal dimension that maximizes the
secure information capacity whose value can be predicted
analytically from the knowledge of only a few experimental
parameters. © 2012 American Physical Society.},
Doi = {10.1103/PhysRevA.85.060304},
Key = {fds246378}
}

@article{fds246288,
Author = {Brougham, T and Barnett, SM and McCusker, KT and Kwiat, PG and Gauthier,
DJ},
Title = {Security of high-dimensional quantum key distribution
protocols using Franson interferometers},
Journal = {Journal of Physics B: Atomic, Molecular and Optical
Physics},
Volume = {46},
Number = {10},
Pages = {104010},
Year = {2013},
ISSN = {0953-4075},
url = {http://www.phy.duke.edu/~qelectron/pubs/FransonQKDn3-2013.pdf},
Abstract = {Franson interferometers are increasingly being proposed as a
means of securing high-dimensional energy-time
entanglement-based quantum key distribution (QKD) systems.
Heuristic arguments have been proposed that purport to
demonstrate the security of these schemes. We show, however,
that such systems are vulnerable to attacks that localize
the photons to several temporally separate locations. This
demonstrates that a single pair of Franson interferometers
is not a practical approach to securing high-dimensional
energy-time entanglement-based QKD. This observation leads
us to investigate the security of modified
Franson-based-protocols, where Alice and Bob have two or
more Franson interferometers. We show that such setups can
improve the sensitivity against attacks that localize the
photons to multiple temporal locations. While our results do
not constitute a full security proof, they do show that a
single pair of Franson interferometers is not secure and
that multiple such interferometers could be a promising
candidate for experimentally realizable high-dimensional
QKD. © 2013 IOP Publishing Ltd.},
Doi = {10.1088/0953-4075/46/10/104010},
Key = {fds246288}
}

@article{fds246355,
Author = {Zhu, Y and Kim, J and Gauthier, DJ},
Title = {Selective phase-matched bragg scattering for single-photon
frequency conversion in a nonlinear waveguide},
Journal = {2011 IEEE Photonics Society Summer Topical Meeting
Series},
Pages = {47-48},
Year = {2011},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/ProcIEEESummerTopicals2011_47.pdf},
Abstract = {We describe a design for phase-matched Bragg scattering for
single-photon conversion between two arbitrary frequencies.
The bandwidth of the Bragg scattering process is calculated
and immunity against competing processes is discussed. ©
2011 IEEE.},
Doi = {10.1109/PHOSST.2011.6000037},
Key = {fds246355}
}

@article{fds246269,
Author = {Greenberg, JA and Gauthier, DJ},
Title = {Self-phase matched four-wave mixing in cold
vapor},
Journal = {Optics InfoBase Conference Papers},
Year = {2010},
Month = {December},
Abstract = {We demonstrate novel four-wave mixing processes in a cold
vapor that arise due to atomic spatial self-organization.
This leads to a reduced parametric oscillation threshold and
a more rapid increase of gain with pump power. © 2010
Optical Society of America.},
Key = {fds246269}
}

@article{fds246340,
Author = {Aleksić, NB and Skarka, V and Timotijević, DV and Gauthier,
D},
Title = {Self-stabilized spatiotemporal dynamics of dissipative light
bullets generated from inputs without spherical symmetry in
three-dimensional Ginzburg-Landau systems},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {75},
Number = {6},
Year = {2007},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.75.061802},
Abstract = {In order to meet experimental conditions, the generation,
evolution, and self-stabilization of optical dissipative
light bullets from non-spherically-symmetric input pulses is
studied. Steady-state solutions of the (3+1) -dimensional
complex cubic-quintic Ginzburg-Landau equation are computed
using the variational approach with a trial function
asymmetric with respect to three transverse coordinates. The
analytical stability criterion is extended to systems
without spherical symmetry, allowing determination of the
domain of dissipative parameters for stable solitonic
solutions. The analytical predictions are confirmed by
numerical evolution of the asymmetric input pulses toward
stable dissipative light bullets. Once established, the
dissipative light bullet remains surprisingly robust. ©
2007 The American Physical Society.},
Doi = {10.1103/PhysRevA.75.061802},
Key = {fds246340}
}

@booklet{Concannon94,
Author = {Gauthier, DJ and Concannon, HM},
Title = {Simple rate-equation for two-photon lasers},
Journal = {Optics Letters},
Volume = {19},
Number = {7},
Pages = {472-474},
Year = {1994},
Abstract = {This paper presents a theoretical rate-equation model for
forecasting the steady-state performance, injected pulse
strength threshold for lasing, and stability of two-photon
optical lasers. A numerical analysis is carried out to
validate the theory.},
Key = {Concannon94}
}

@booklet{Gauthier86b,
Author = {Gauthier, DJ and Narum, P and Boyd, RW},
Title = {Simple, compact, high-performance permanent-magnet faraday
isolator},
Journal = {Opt. Lett.},
Volume = {11},
Number = {10},
Pages = {623-625},
Year = {1986},
Month = {October},
Key = {Gauthier86b}
}

@article{fds246352,
Author = {Ravasio, A and Gauthier, D and Maia, FRNC and Billon, M and Caumes, J-P and Garzella, D and Géléoc, M and Gobert, O and Hergott, J-F and Pena,
A-M and al, E},
Title = {Single-shot diffractive imaging with a table-top femtosecond
soft X-ray laser-harmonics source},
Journal = {Physical Review Letters},
Volume = {103},
Number = {2},
Year = {2009},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.103.028104},
Abstract = {Coherent x-ray diffractive imaging is a powerful method for
studies on nonperiodic structures on the nanoscale. Access
to femtosecond dynamics in major physical, chemical, and
biological processes requires single-shot diffraction data.
Up to now, this has been limited to intense coherent pulses
from a free electron laser. Here we show that laser-driven
ultrashort x-ray sources offer a comparatively inexpensive
alternative. We present measurements of single-shot
diffraction patterns from isolated nano-objects with a
single 20fs pulse from a table-top high-harmonic x-ray
laser. Images were reconstructed with a resolution of 119 nm
from the single shot and 62 nm from multiple shots. © 2009
The American Physical Society.},
Doi = {10.1103/PhysRevLett.103.028104},
Key = {fds246352}
}

@article{fds246353,
Author = {Gauthier, D and Guizar-Sicairos, M and Ge, X and Boutu, W and Carré, B and Fienup, JR and Merdji, H},
Title = {Single-shot femtosecond x-ray holography using extended
references},
Journal = {Physical Review Letters},
Volume = {105},
Number = {9},
Year = {2010},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.105.093901},
Abstract = {In the context of x-ray lensless imaging, we present a
recent approach for Fourier transform holography based on
the use of extended references. Major advances shown here
rely on a high signal efficiency and on the direct image
reconstruction of the object performed by a simple linear
derivative. Moreover, the extended holographic reference is
easy to manufacture and can be applied to a variety of
imaging experiments. Here we demonstrate single-shot imaging
with a table-top, laser-based coherent soft x-ray source. A
spatial resolution of 110 nm was obtained with an
integration time of 20 fs. © 2010 The American Physical
Society.},
Doi = {10.1103/PhysRevLett.105.093901},
Key = {fds246353}
}

@article{fds246293,
Author = {Gauthier, DJ and IEEE},
Title = {Slow Light and Stored Light using SBS in an Optical
Fiber},
Journal = {2008 34TH EUROPEAN CONFERENCE ON OPTICAL COMMUNICATION
(ECOC)},
Year = {2008},
ISBN = {978-1-4244-2228-9},
Key = {fds246293}
}

@article{fds246345,
Author = {Gauthier, DJ},
Title = {Slow light and stored light using SBS in an optical
fiber},
Journal = {European Conference on Optical Communication,
ECOC},
Year = {2008},
url = {http://dx.doi.org/10.1109/ECOC.2008.4729396},
Abstract = {Recently, slow light and stored light has been achieved in
room temperature optical fibers at telecommunication
wavelengths, which is accelerating the transition of these
techniques to applications. © 2008 IEEE.},
Doi = {10.1109/ECOC.2008.4729396},
Key = {fds246345}
}

@article{fds246444,
Author = {Gauthier, D},
Title = {Slow light brings faster communications},
Journal = {Physics World},
Volume = {18},
Number = {12},
Pages = {30-32},
Year = {2005},
ISSN = {0953-8585},
Abstract = {Researchers have significantly managed to reduce the speed
of light in an optical fibre, which could open the door to
all-optical routers for telecommunication. Routers switch
pulses of light from one fibre to another, ending up at the
correct destination. Now they are converting optical into
electrical pulses, perform the switching operation and then
convert the electrical signals back into the optical pulse.
The main difficulty in designing a all-optical router is to
find a way to temporarily store or buffer the packets of
information. A optical data regenerator device uses slow
light to create a stream of optical data pulses that will be
distorted after traveling a long distance along an optical
fibre.},
Key = {fds246444}
}

@article{fds167526,
Author = {Z. Zhu and D.J. Gauthier and A.L. Gaeta and R.W.
Boyd},
Title = {Slow light in optical waveguides},
Pages = {37-57},
Booktitle = {an invited chapter in Slow Light: Science and
Applications},
Publisher = {CRC Press},
Editor = {J. Khurgin and R.S. Tucker},
Year = {2008},
Month = {December},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/slow_light_waveguide.pdf},
Key = {fds167526}
}

@article{fds246234,
Author = {Gauthier, D},
Title = {Slow light in room-temperature optical waveguides},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
ISSN = {2162-2701},
Key = {fds246234}
}

@article{fds246334,
Author = {Gauthier, D},
Title = {Slow light in room-temperature optical waveguides},
Journal = {Conference on Lasers and Electro-Optics Europe - Technical
Digest},
Year = {2007},
url = {http://dx.doi.org/10.1109/CLEOE-IQEC.2007.4386826},
Doi = {10.1109/CLEOE-IQEC.2007.4386826},
Key = {fds246334}
}

@article{fds246429,
Author = {Zhang, B and Yan, L and Fazal, I and Zhang, L and Willner, AE and Zhu, Z and Gauthier, DJ},
Title = {Slow light on Gbit/s differential-phase-shift-keying
signals},
Journal = {Optics express},
Volume = {15},
Number = {4},
Pages = {1878-1883},
Year = {2007},
ISSN = {1094-4087},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/OptExpress15_1878_2007.pdf},
Abstract = {We demonstrate, via simulation and experiment, slowing down
of a phase-modulated optical signal. A 10.7-Gb/s NRZ-DPSK
signal can be delayed by as much as 42 ps while still
achieving error free via broadband SBS-based slow light. We
further analyze the impact of slow-light-induced
data-pattern dependence on both constructive and destructive
demodulated ports. By detuning the SBS gain profile, we
achieve 3-dB Q-factor improvement by the reduction of
pattern dependence. Performance comparison between NRZ-DPSK
and RZ-DPSK shows that robustness to slow-light-induced
pattern dependence is modulation format dependent. © 2007
Optical Society of America.},
Doi = {10.1364/OE.15.001878},
Key = {fds246429}
}

@article{fds246328,
Author = {Zhu, Z and Dawes, AMC and Gauthier, DJ},
Title = {Slow light via stimulated Brillouin scattering in optical
fibers},
Journal = {LEOS Summer Topical Meeting},
Pages = {38-39},
Year = {2006},
ISSN = {1099-4742},
url = {http://dx.doi.org/10.1109/LEOSST.2004.1338669},
Abstract = {Optical-fiber-based slow-light techniques are reviewed. Slow
light via stimulated Brillouin scattering (SBS) in optical
fibers is discussed and recent progress in achieving
broadband SBS slow light for high data-rate systems is
Doi = {10.1109/LEOSST.2004.1338669},
Key = {fds246328}
}

@article{fds246397,
Author = {Zhang, R and Zhu, Y and Wang, J and Gauthier, DJ},
Title = {Slow light with a swept-frequency source.},
Journal = {Optics express},
Volume = {18},
Number = {26},
Pages = {27263-27269},
Year = {2010},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/21197004},
Abstract = {ct: We introduce a new concept for stimulated-Brillouin-scattering-based
slow light in optical fibers that is applicable for
broadly-tunable frequency-swept sources. It allows slow
light to be achieved, in principle, over the entire
transparency window of the optical fiber. We demonstrate a
slow light delay of 10 ns at 1.55 μm using a 10-m-long
photonic crystal fiber with a source sweep rate of 400
MHz/μs and a pump power of 200 mW. We also show that there
exists a maximal delay obtainable by this method, which is
set by the SBS threshold, independent of sweep rate. For our
fiber with optimum length, this maximum delay is ~38 ns,
obtained for a pump power of 760 mW.},
Key = {fds246397}
}

@article{fds246439,
Author = {Gauthier, DJ and Gaeta, AL and Boyd, RW},
Title = {Slow light: From basics to future prospects},
Journal = {Photonics spectra},
Volume = {40},
Number = {3},
Pages = {44-50},
Year = {2006},
ISSN = {0731-1230},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PhotonicsSpectraSlowLight2006.pdf},
Abstract = {Motivated by the need for optically controllable pulse
delays for applications such as optical buffering, data
synchronization, optical memory and signal processing,
researchers sought to control the speed of a pulse light
from its vacuum speed. A revolution in the field came when
researchers at Stanford University in California realized
that the slow-light effect can be preserved while the
effects of absortion are simultaneously canceled using a
coherent optical effect occurring in a gas of atoms that
have three energy levels. Although this result was
impressive, it indicated that slow light based on
electromagnetically induced transparency requires that the
material medium be a low-density atomic vapor or an
impurity-doped solid maintained at low temperature. A recent
experiment performed at the University of Rochester in New
York established that slow light based on coherent
population oscillations could be observed with the use of
ruby. A more recent research targeted the development of
materials with a much faster population recovery. For
instance, researchers at the University of California,
Berkeley, and Texas A&amp;M UNiversity in College Station
observed slow light with a modulation bandwidth as large as
2.8 GHz in a semicondictor laser amplifier. Controllable
slow-light delays due to stimulated Brillouin scattering in
conventional telecommunication fibers were realized
independently by two teams, one from Spain and another from
the US.},
Key = {fds246439}
}

@article{fds246424,
Author = {Zhao, X and Schaeffer, DG and Berger, CM and Gauthier,
DJ},
Title = {Small-Signal Amplification of Period-Doubling Bifurcations
in Smooth Iterated Maps.},
Journal = {Nonlinear Dynamics},
Volume = {48},
Number = {4},
Pages = {381-389},
Year = {2007},
Month = {Spring},
ISSN = {0924-090X},
url = {http://www.ncbi.nlm.nih.gov/pubmed/19112525},
Abstract = {Various authors have shown that, near the onset of a
period-doubling bifurcation, small perturbations in the
control parameter may result in much larger disturbances in
the response of the dynamical system. Such amplification of
small signals can be measured by a gain defined as the
magnitude of the disturbance in the response divided by the
perturbation amplitude. In this paper, the perturbed
response is studied using normal forms based on the most
general assumptions of iterated maps. Such an analysis
provides a theoretical footing for previous experimental and
numerical observations, such as the failure of linear
analysis and the saturation of the gain. Qualitative as well
as quantitative features of the gain are exhibited using
selected models of cardiac dynamics.},
Doi = {10.1007/s11071-006-9092-2},
Key = {fds246424}
}

@article{fds246428,
Author = {Gauthier, DJ},
Title = {Solitons go Slow},
Journal = {an invited article in Nature Photonics},
Volume = {1},
Pages = {92},
Year = {2007},
Month = {February},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/NaturePhotonics1_92_2007.pdf},
Key = {fds246428}
}

@article{fds318445,
Author = {Dobrovolny, HM and Berger, CM and Brown, NH and Neu, WK and Gauthier,
DJ},
Title = {Spatial heterogeneity of restitution properties and the
onset of alternans},
Journal = {Proceedings of the 31st Annual International Conference of
the IEEE Engineering in Medicine and Biology Society:
Engineering the Future of Biomedicine, EMBC
2009},
Pages = {4186-4189},
Year = {2009},
url = {http://dx.doi.org/10.1109/IEMBS.2009.5333929},
Abstract = {Traditionally, it was believed that cardiac rhythm stability
was governed by the slope of the restitution curve (RC),
which relates the duration of an action potential to the
preceding diastolic interval. However, a single RC does not
exist; rate-dependence leads to multiple distinct RCs. We
measure spatial differences in the steady-state action
potential duration (APD), as well as in three different RCs:
the S1-S2 (SRC), constant-basic-cycle-length (BRC), and
dynamic (DRC), and correlate these differences with the
tissue's propensity to develop alternans. The results show
that spatial differences in APD, SRC slope, and DRC slope
are correlated with the tissue's propensity to exhibit
alternans. These results may lead to a new diagnostic
approach to identifying patients with vulnerability to
arrhythmias, which will involve pacing at slow rates and
analyzing spatial differences in restitution properties.
Doi = {10.1109/IEMBS.2009.5333929},
Key = {fds318445}
}

@article{fds246230,
Author = {Dobrovolny, HM and Berger, CM and Brown, NH and Neu, WK and Gauthier,
DJ},
Title = {Spatial heterogeneity of restitution properties and the
onset of alternans.},
Journal = {Annual International Conference of the IEEE Engineering in
Medicine and Biology - Proceedings},
Pages = {4186-4189},
Year = {2009},
Month = {December},
ISSN = {1557-170X},
url = {http://dx.doi.org/10.1109/IEMBS.2009.5333929},
Abstract = {Traditionally, it was believed that cardiac rhythm stability
was governed by the slope of the restitution curve (RC),
which relates the duration of an action potential to the
preceding diastolic interval. However, a single RC does not
exist; rate-dependence leads to multiple distinct RCs. We
measure spatial differences in the steady-state action
potential duration (APD), as well as in three different RCs:
the S1-S2 (SRC), constant-basic-cycle-length (BRC), and
dynamic (DRC), and correlate these differences with the
tissue's propensity to develop alternans. The results show
that spatial differences in APD, SRC slope, and DRC slope
are correlated with the tissue's propensity to exhibit
alternans. These results may lead to a new diagnostic
approach to identifying patients with vulnerability to
arrhythmias, which will involve pacing at slow rates and
analyzing spatial differences in restitution
properties.},
Doi = {10.1109/IEMBS.2009.5333929},
Key = {fds246230}
}

@article{fds246351,
Author = {Dobrovolny, HM and Berger, CM and Brown, NH and Neu, WK and Gauthier,
DJ},
Title = {Spatial heterogeneity of restitution properties and the
onset of alternans.},
Journal = {Annual International Conference of the IEEE Engineering in
Medicine and Biology - Proceedings},
Volume = {2009},
Pages = {4186-4189},
Year = {2009},
ISSN = {1557-170X},
url = {http://www.ncbi.nlm.nih.gov/pubmed/19964626},
Abstract = {Traditionally, it was believed that cardiac rhythm stability
was governed by the slope of the restitution curve (RC),
which relates the duration of an action potential to the
preceding diastolic interval. However, a single RC does not
exist; rate-dependence leads to multiple distinct RCs. We
measure spatial differences in the steady-state action
potential duration (APD), as well as in three different RCs:
the S1-S2 (SRC), constant-basic-cycle-length (BRC), and
dynamic (DRC), and correlate these differences with the
tissue's propensity to develop alternans. The results show
that spatial differences in APD, SRC slope, and DRC slope
are correlated with the tissue's propensity to exhibit
alternans. These results may lead to a new diagnostic
approach to identifying patients with vulnerability to
arrhythmias, which will involve pacing at slow rates and
analyzing spatial differences in restitution
properties.},
Doi = {10.1109/IEMBS.2009.5333929},
Key = {fds246351}
}

@article{fds246248,
Author = {Shi, Z and Boyd, RW and Gauthier, DJ},
Title = {Spectroscopic interferometry using slow-light
media},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {We consider a Mach-Zehnder interferometer with a slow-light
medium in one of its arms. We show that the
frequency/wavelength sensitivity is enhanced enormously
because of the large difference in group indices between the
two arms. © 2006 Optical Society of America.},
Key = {fds246248}
}

@booklet{Agarwal91,
Author = {Agarwal, GS and Zhu, YF and Gauthier, DJ and Mossberg,
TW},
Title = {Spectrum of radiation from two-level atoms under intense
bichromatic excitation},
Journal = {Journal Of The Optical Society Of America B-optical
Physics},
Volume = {8},
Number = {5},
Pages = {1163-1167},
Year = {1991},
Month = {May},
Key = {Agarwal91}
}

@article{fds246339,
Author = {Ward, P and Gauthier, DJ and Boyd, RW},
Title = {Speed of light [3]},
Journal = {Photonics spectra},
Volume = {41},
Number = {4},
Pages = {12-},
Year = {2007},
ISSN = {0731-1230},
Key = {fds246339}
}

@article{fds324411,
Author = {Schmittberger, BL and Gauthier, DJ},
Title = {Spontaneous emergence of free-space optical and atomic
patterns},
Journal = {New Journal of Physics},
Volume = {18},
Number = {10},
Pages = {103021-103021},
Year = {2016},
Month = {October},
url = {http://dx.doi.org/10.1088/1367-2630/18/10/103021},
Doi = {10.1088/1367-2630/18/10/103021},
Key = {fds324411}
}

@booklet{Gauthier94a,
Author = {Gauthier, DJ and Sukow, DW and Concannon, HM and Socolar,
JE},
Title = {Stabilizing unstable periodic orbits in a fast diode
resonator using continuous time-delay autosynchronization.},
Journal = {Physical Review E - Statistical Physics, Plasmas, Fluids,
and Related Interdisciplinary Topics},
Volume = {50},
Number = {3},
Pages = {2343-2346},
Year = {1994},
Month = {September},
ISSN = {1063-651X},
url = {http://www.ncbi.nlm.nih.gov/pubmed/9962244},
Key = {Gauthier94a}
}

@booklet{Socolar94,
Author = {Socolar, JE and Sukow, DW and Gauthier, DJ},
Title = {Stabilizing unstable periodic orbits in fast dynamical
systems.},
Journal = {Physical Review E - Statistical Physics, Plasmas, Fluids,
and Related Interdisciplinary Topics},
Volume = {50},
Number = {4},
Pages = {3245-3248},
Year = {1994},
Month = {October},
ISSN = {1063-651X},
url = {http://www.ncbi.nlm.nih.gov/pubmed/9962372},
Key = {Socolar94}
}

@article{fds246442,
Author = {Chang, A and Bienfang, JC and Hall, GM and Gardner, JR and Gauthier,
DJ},
Title = {Stabilizing unstable steady states using extended time-delay
autosynchronization.},
Journal = {Chaos},
Volume = {8},
Number = {4},
Pages = {782-790},
Year = {1998},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12779784},
Abstract = {We describe a method for stabilizing unstable steady states
in nonlinear dynamical systems using a form of extended
time-delay autosynchronization. Specifically, stabilization
is achieved by applying a feedback signal generated by
high-pass-filtering in real time the dynamical state of the
system to an accessible system parameter or variables. Our
technique is easy to implement, does not require knowledge
of the unstable steady state coordinates in phase space,
automatically tracks changes in the system parameters, and
is more robust to broadband noise than previous schemes. We
demonstrate the controller's efficacy by stabilizing
unstable steady states in an electronic circuit exhibiting
low-dimensional temporal chaos. The simplicity and
robustness of the scheme suggests that it is ideally suited
for stabilizing unstable steady states in ultra-high-speed
systems. (c) 1998 American Institute of Physics.},
Doi = {10.1063/1.166357},
Key = {fds246442}
}

@booklet{Sukow97,
Author = {Sukow, DW and Gardner, JR and Gauthier, DJ},
Title = {Statistics of power-dropout events in semiconductor lasers
with time-delayed optical feedback},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {56},
Number = {5},
Pages = {R3370-R3373},
Year = {1997},
Abstract = {We measure experimentally the statistical distribution of
time intervals between power-dropout events occurring in a
semiconductor laser with time-delayed optical feedback
operating in the low-frequency fluctuation regime. Near the
laser threshold, the time-interval probability distribution
displays a low-probability region, or dead zone, for short
times, followed by a slow rise, and an exponential decay for
long times. At higher injection currents, the distributions
develop considerable structure. We compare our results to
the predictions of approximate analytic models of the laser
dynamics and find that no single model accurately captures
the details of the observed distributions, indicating that
our physical understanding of the long-term dynamics of the
laser in this regime is less than complete.},
Key = {Sukow97}
}

@article{fds246214,
Author = {Gauthier, DJ},
Year = {2014},
Month = {May},
Key = {fds246214}
}

@article{fds246377,
Author = {Greenberg, JA and Gauthier, DJ},
Journal = {Phys. Rev. A},
Volume = {86},
Number = {1},
Pages = {013823},
Year = {2012},
Month = {April},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA86_013823_2012.pdf},
cold vapor pumped by weak optical fields. Beyond a critical
pump intensity of 1 mW/cm2, the vapor spontaneously
transforms into a spatially self-organized state: a density
grating forms. Scattering of the pump beams off this grating
generates a pair of new, intense optical fields that act
back on the vapor to enhance the atomic organization. We map
out experimentally the superradiant phase transition
boundary and show that it is well described by our
theoretical model. The resulting superradiant emission is
nearly coherent, persists for several seconds, displays
strong temporal correlations between the various modes, and
has a coherence time of several hundred Î¼s. This system
therefore has applications in fundamental studies of
many-body physics with long-range interactions as well as
all-optical and quantum information processing. Â© 2012
American Physical Society.},
Doi = {10.1103/PhysRevA.86.013823},
Key = {fds246377}
}

@article{fds304569,
Author = {Greenberg, JA and Gauthier, DJ},
vapor},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {86},
Number = {1},
Year = {2012},
Month = {July},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.86.013823},
cold vapor pumped by weak optical fields. Beyond a critical
pump intensity of 1 mW/cm2, the vapor spontaneously
transforms into a spatially self-organized state: a density
grating forms. Scattering of the pump beams off this grating
generates a pair of new, intense optical fields that act
back on the vapor to enhance the atomic organization. We map
out experimentally the superradiant phase transition
boundary and show that it is well described by our
theoretical model. The resulting superradiant emission is
nearly coherent, persists for several seconds, displays
strong temporal correlations between the various modes, and
has a coherence time of several hundred μs. This system
therefore has applications in fundamental studies of
many-body physics with long-range interactions as well as
all-optical and quantum information processing. © 2012
American Physical Society.},
Doi = {10.1103/PhysRevA.86.013823},
Key = {fds304569}
}

@article{fds246416,
Author = {Zhu, Z and Gauthier, DJ and Boyd, RW},
Title = {Stored light in an optical fiber via stimulated brillouin
scattering},
Journal = {Science},
Volume = {318},
Number = {5857},
Pages = {1748-1750},
Year = {2007},
ISSN = {0036-8075},
url = {http://www.ncbi.nlm.nih.gov/pubmed/18079395},
Abstract = {We describe a method for storing sequences of optical data
pulses by converting them into long-lived acoustic
excitations in an optical fiber through the process of
stimulated Brillouin scattering. These stored pulses can be
retrieved later, after a time interval limited by the
lifetime of the acoustic excitation. In the experiment
reported here, smooth 2-nanosecond-long pulses are stored
for up to 12 nanoseconds with good readout efficiency: 29%
at 4-nanosecond storage time and 2% at 12 nanoseconds. This
method thus can potentially store data packets that are many
bits long. It can be implemented at any wavelength where the
fiber is transparent and can be incorporated into existing
telecommunication networks because it operates using only
commercially available components at room
temperature.},
Doi = {10.1126/science.1149066},
Key = {fds246416}
}

@article{fds246379,
Author = {Zheng, H and Gauthier, DJ and Baranger, HU},
Title = {Strongly correlated photons generated by coupling a three-
or four-level system to a waveguide},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {85},
Number = {4},
Pages = {043832},
Year = {2012},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA85_043832_2012.pdf},
Abstract = {We study the generation of strongly correlated photons by
coupling an atom to photonic quantum fields in a
one-dimensional waveguide. Specifically, we consider a
three-level or four-level system for the atom. Photon-photon
bound states emerge as a manifestation of the strong
photon-photon correlation mediated by the atom. Effective
repulsive or attractive interaction between photons can be
produced, causing either suppressed multiphoton transmission
(photon blockade) or enhanced multiphoton transmission
(photon-induced tunneling). As a result, nonclassical light
sources can be generated on demand by sending coherent
states into the proposed system. We calculate the
second-order correlation function of the transmitted field
and observe bunching and antibunching caused by the bound
states. Furthermore, we demonstrate that the proposed system
can produce photon pairs with a high degree of spectral
entanglement, which have a large capacity for carrying
information and are important for large-alphabet quantum
Society.},
Doi = {10.1103/PhysRevA.85.043832},
Key = {fds246379}
}

@article{fds246382,
Author = {Cohen, SD and Cavalcante, HLDDS and Gauthier, DJ},
Title = {Subwavelength position sensing using nonlinear feedback and
wave chaos.},
Journal = {Physical Review Letters},
Volume = {107},
Number = {25},
Pages = {254103},
Year = {2011},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/22243079},
Abstract = {We demonstrate a position-sensing technique that relies on
the inherent sensitivity of chaos, where we illuminate a
subwavelength object with a complex structured
radio-frequency field generated using wave chaos and
nonlinear feedback. We operate the system in a quasiperiodic
state and analyze changes in the frequency content of the
scalar voltage signal in the feedback loop. This allows us
to extract the object's position with a one-dimensional
resolution of ~λ/10,000 and a two-dimensional resolution of
~λ/300, where λ is the shortest wavelength of the
illuminating source.},
Doi = {10.1103/PhysRevLett.107.254103},
Key = {fds246382}
}

@article{fds324412,
Author = {D'Huys, O and Lohmann, J and Haynes, ND and Gauthier,
DJ},
Title = {Super-transient scaling in time-delay autonomous Boolean
network motifs.},
Journal = {Chaos},
Volume = {26},
Number = {9},
Pages = {094810},
Year = {2016},
Month = {September},
url = {http://dx.doi.org/10.1063/1.4954274},
Abstract = {Autonomous Boolean networks are commonly used to model the
dynamics of gene regulatory networks and allow for the
prediction of stable dynamical attractors. However, most
models do not account for time delays along the network
links and noise, which are crucial features of real
biological systems. Concentrating on two paradigmatic
motifs, the toggle switch and the repressilator, we develop
an experimental testbed that explicitly includes both
inter-node time delays and noise using digital logic
elements on field-programmable gate arrays. We observe
transients that last millions to billions of characteristic
time scales and scale exponentially with the amount of time
delays between nodes, a phenomenon known as super-transient
scaling. We develop a hybrid model that includes time delays
along network links and allows for stochastic variation in
the delays. Using this model, we explain the observed
super-transient scaling of both motifs and recreate the
experimentally measured transient distributions.},
Doi = {10.1063/1.4954274},
Key = {fds324412}
}

@article{fds167525,
Author = {D.J. Gauthier},
Title = {Superluminal communication in quantum mechanics},
Pages = {776-769},
Booktitle = {an invited article in Compendium of Quantum Physics:
Concepts, Experiments, History and Philosophy},
Publisher = {Springer-Verlag},
Editor = {D. Greenberger and K. Hentschel and F. Weinert},
Year = {2009},
Month = {April},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/GauthierCompendiumPreprint2006.pdf},
Key = {fds167525}
}

@article{fds246440,
Author = {Stenner, MD and Gauthier, DJ and Neifeld, MA},
Title = {Superluminal speed of information? Reply},
Journal = {Nature},
Volume = {429},
Number = {6987},
Pages = {6987},
Year = {2004},
Month = {May},
ISSN = {0028-0836},
Doi = {10.1038/nature02587},
Key = {fds246440}
}

@article{fds246266,
Author = {Greenberg, JA and Gauthier, DJ},
Title = {Superradiance in an ultracold thermal vapor},
Journal = {Optics InfoBase Conference Papers},
Year = {2009},
Month = {January},
Abstract = {We report on superradiant Rayleigh scattering in an
anisotropic, cold thermal vapor. We identify threshold pump
powers and atomic densities for entering the superradiant
regime, and observe temporal correlations between light
emitted in opposite directions. © 2009 Optical Society of
America.},
Key = {fds246266}
}

@article{fds246218,
Author = {Gauthier, DJ and Schmittberger, BL},
Title = {Superradiance in Driven Ultra-Cold Atoms},
Year = {2014},
Month = {July},
Key = {fds246218}
}

@article{fds246362,
Author = {Sukow, DW and Gauthier, DJ},
Title = {Suppression and entrainment of power-dropout events in
external-cavity semiconductor lasers},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {12},
Pages = {181-182},
Year = {1997},
Abstract = {The possibility of regulating the instability known as
low-frequency fluctuations (LFF) was demonstrated by
perturbing the current injected into the laser. LFF occurs
when a semiconductor laser is subjected to weak or moderate
feedback from a distant reflector, and it appears as
irregular, spontaneous dropouts in the laser intensity. The
dynamics of LFF are exceptionally complex, occurring on
widely disparate time scales: the interval between dropouts
can be milliseconds, the dropouts themselves have widths of
approximately 50 nanoseconds, and the laser emits an erratic
train of pulses of approximately 100 ps width.},
Key = {fds246362}
}

@booklet{Malcuit85,
Author = {Malcuit, MS and Gauthier, DJ and Boyd, RW},
Title = {Suppression of amplified spontaneous emission by the
four-wave mixing process},
Journal = {Physical Review Letters},
Volume = {55},
Number = {10},
Pages = {1086-1089},
Year = {1985},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.55.1086},
Abstract = {Two-photon-resonant excitation of the sodium 3d level can
lead to the generation of new frequencies either by
amplified spontaneous emission at the 3d'3p transition
frequency or by a resonantly enhanced four-wave mixing
process. Competition between these two processes has been
observed. The four-wave mixing process can suppress
amplified spontaneous emission by preventing the excitation
of the 3d level due to an interference between two different
pathways connecting the ground (3s) and 3d states. © 1985
The American Physical Society.},
Doi = {10.1103/PhysRevLett.55.1086},
Key = {Malcuit85}
}

@article{fds246240,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ},
Title = {Synchronization of coupled Boolean phase
oscillators.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {89},
Number = {4},
Pages = {042907},
Year = {2014},
Month = {April},
ISSN = {1539-3755},
url = {http://dx.doi.org/10.1103/physreve.89.042907},
Abstract = {We design, characterize, and couple Boolean phase
oscillators that include state-dependent feedback delay. The
state-dependent delay allows us to realize an adjustable
coupling strength, even though only Boolean signals are
exchanged. Specifically, increasing the coupling strength
via the range of state-dependent delay leads to larger
locking ranges in uni- and bidirectional coupling of
oscillators in both experiment and numerical simulation with
a piecewise switching model. In the unidirectional coupling
scheme, we unveil asymmetric triangular-shaped locking
regions (Arnold tongues) that appear at multiples of the
natural frequency of the oscillators. This extends
observations of a single locking region reported in previous
studies. In the bidirectional coupling scheme, we map out a
symmetric locking region in the parameter space of frequency
detuning and coupling strength. Because of the large
scalability of our setup, our observations constitute a
first step towards realizing large-scale networks of coupled
oscillators to address fundamental questions on the
dynamical properties of networks in a new experimental
setting.},
Doi = {10.1103/physreve.89.042907},
Key = {fds246240}
}

@article{fds246258,
Author = {Zhang, B and Fazal, I and Yan, LS and Zhang, L and A Willner and E and Zhu, Z and Gauthier, DJ},
Title = {System performance of DPSK signals transmitted through
broadband SBS-based slow light element and reduction of
slow-light-induced data-pattern dependence},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
Month = {January},
Abstract = {We demonstrate 42 ps delay on 10.7-Gb/s DPSK signals via
SBS-based slow light. Slow-light-induced DPSK-data-pattern
dependence is analyzed and its reduction results in 3-dB Q
factor improvement. NRZ-DPSK and RZ-DPSK system performances
are compared. © 2007 Optical Society of
America.},
Key = {fds246258}
}

@article{fds246333,
Author = {Zhang, B and Fazal, I and Yan, L-S and Zhang, L and Willner, AE and Zhu, Z and Gauthier, DJ},
Title = {System performance of DPSK signals transmitted through
broadband SBS-based slow light element and reduction of
slow-light-induced data-pattern dependence},
Journal = {OFC/NFOEC 2007 - Optical Fiber Communication and the
National Fiber Optic Engineers Conference
2007},
Year = {2007},
url = {http://dx.doi.org/10.1109/OFC.2007.4348657},
Abstract = {We demonstrate 42 ps delay on 10.7-Gb/s DPSK signals via
SBS-based slow light. Slow-light-induced DPSK-data-pattern
dependence is analyzed and its reduction results in 3-dB Q
factor improvement. NRZ-DPSK and RZ-DPSK system performances
are compared. © 2007 Optical Society of
America.},
Doi = {10.1109/OFC.2007.4348657},
Key = {fds246333}
}

@article{fds246297,
Author = {GAUTHIER, DJ and CONCANNON, HM},
Title = {THE 2-PHOTON LASER},
Journal = {Nato Asi Series B Physics},
Volume = {339},
Pages = {365-384},
Year = {1994},
ISBN = {0-306-44916-1},
ISSN = {0258-1221},
Key = {fds246297}
}

@booklet{Gauthier94,
Author = {GAUTHIER, DJ},
Title = {THE DYNAMICS OF OPTICAL-SYSTEMS - A RENAISSANCE OF THE
1990S},
Volume = {4},
Number = {2},
Pages = {1-+},
Year = {1994},
ISSN = {0938-9008},
Key = {Gauthier94}
}

@article{fds329842,
Author = {Brougham, T and Wildfeuer, CF and Barnett, SM and Gauthier,
DJ},
Title = {The information of high-dimensional time-bin encoded
photons},
Journal = {The European Physical Journal D - Atomic, Molecular, Optical
and Plasma Physics},
Volume = {70},
Number = {10},
Year = {2016},
Month = {October},
url = {http://dx.doi.org/10.1140/epjd/e2016-70357-4},
Doi = {10.1140/epjd/e2016-70357-4},
Key = {fds329842}
}

@article{fds246507,
Author = {Hall, GM and Bahar, S and Gauthier, DJ},
Title = {The prevalence of rate-dependent dynamics in cardiac
tissue},
Journal = {Phys. Rev. Lett.},
Volume = {82},
Number = {14},
Pages = {2995},
Year = {1999},
Abstract = {We explore the rate-dependent dynamic response of
periodically paced bullfrog (Rana catesbeiana) cardiac
muscle. Alternans (2:2 behavior) occur in 35% of animals and
2:1 â†” 1:1 bistability in 74% of animals. In addition,
we observe 2:2 â†” 2:1 bistablility. We discuss the
implications of these results for two map-based models of
cardiac dynamics. The high prevalence of bistability
suggests that this dynamical behavior must be accounted for
in the design of closed-loop feedback protocols to stabilize
cardiac dynamics. Â© 1999 The American Physical
Society.},
Key = {fds246507}
}

@article{fds246498,
Author = {Kalb, SS and Dobrovolny, HM and Tolkacheva, EG and Idriss, SF and Krassowska, W and Gauthier, DJ},
Title = {The restitution portrait: a new method for investigating
rate-dependent restitution.},
Journal = {Journal of Cardiovascular Electrophysiology},
Volume = {15},
Number = {6},
Pages = {698-709},
Year = {2004},
Month = {June},
ISSN = {1045-3873},
url = {http://www.ncbi.nlm.nih.gov/pubmed/15175067},
Abstract = {INTRODUCTION: Electrical restitution, relating action
potential duration (APD) to diastolic interval (DI), was
believed to determine the stability of heart rhythm.
However, recent studies demonstrate that stability also
depends on long-term APD changes caused by memory. This
study presents a new method for investigation of rate- and
memory-dependent aspects of restitution and for assessment
of mapping models of APD. METHODS AND RESULTS: Bullfrog
ventricular myocardium was paced with a "perturbed downsweep
protocol." Starting from a basic cycle length (BCL) of 1,000
ms, the tissue was paced until steady state was achieved,
followed by single beats of longer and shorter cycle
lengths. BCL was decreased by 50 to 100 ms and the process
repeated. All APDs were plotted as a function of the
preceding DI, which allowed simultaneous observation of
dynamic, S1-S2, and two constant-BCL restitution curves in a
"restitution portrait." Responses were classified as 1:1
(stimulus:response), transient 2:2, or persistent 2:2
(alternans) and were related to the slopes of the
restitution curves. None of these slopes approached unity
for the persistent 2:2 response, demonstrating that the
traditional restitution condition does not predict
alternans. The restitution portrait was used to evaluate
three mapping models of APD. The models with no memory and
with one-beat memory did not produce restitution portraits
similar to the experimental one. A model with two-beat
memory produced a qualitatively similar portrait.
CONCLUSION: The restitution portrait allows a more
comprehensive assessment of cardiac dynamics than methods
used to date. Further study of models with memory may result
in a clinical criterion for electrical instability.},
Doi = {10.1046/j.1540-8167.2004.03550.x},
Key = {fds246498}
}

@article{fds287611,
Author = {Bolduc, E and Leach, J and Gauthier, D and Boyd, RW},
Title = {The secure information capacity of photons entangled in high
dimensions},
Journal = {Frontiers in Optics, FIO 2012},
Year = {2012},
Month = {December},
Abstract = {We quantify precisely the maximum secure information
capacity of photons entangled in high dimensions for
entanglement in the orbital angular momentum and angular
Key = {fds287611}
}

@article{fds246271,
Author = {Bolduc, E and Leach, J and Gauthier, D and Boyd, RW},
Title = {The security of quantum key distribution using the orbital
angular momentum states of light},
Journal = {Optics InfoBase Conference Papers},
Year = {2012},
Month = {December},
ISSN = {2162-2701},
Abstract = {High-dimensional entanglement is a key resource for quantum
cryptography. We experimentally realise the criterion for
secure quantum key distribution when using photons entangled
in the orbital angular momentum and angle degrees of
Key = {fds246271}
}

@article{fds304566,
Author = {Stenner, MD and Gauthier, DJ and Neifeld, MA},
Title = {The speed of information in a 'fast-light' optical
medium.},
Journal = {Nature},
Volume = {425},
Number = {6959},
Pages = {695-698},
Year = {2003},
Month = {October},
url = {http://www.ncbi.nlm.nih.gov/pubmed/14562097},
Abstract = {One consequence of the special theory of relativity is that
no signal can cause an effect outside the source light cone,
the space-time surface on which light rays emanate from the
source. Violation of this principle of relativistic
preceding its cause. Recent experiments on optical pulse
propagation in so-called 'fast-light' media--which are
characterized by a wave group velocity upsilon(g) exceeding
the vacuum speed of light c or taking on negative
values--have led to renewed debate about the definition of
the information velocity upsilon(i). One view is that
upsilon(i) = upsilon(g) (ref. 4), which would violate
causality, while another is that upsilon(i) = c in all
situations, which would preserve causality. Here we find
that the time to detect information propagating through a
fast-light medium is slightly longer than the time required
to detect the same information travelling through a vacuum,
even though upsilon(g) in the medium vastly exceeds c. Our
observations are therefore consistent with relativistic
causality and help to resolve the controversies surrounding
superluminal pulse propagation.},
Doi = {10.1038/nature02016},
Key = {fds304566}
}

@article{fds246466,
Author = {Stenner, MD and Gauthier, DJ and Neifeld, MA},
Title = {The speed of information in a fast light' optical
medium},
Journal = {Nature},
Volume = {425},
Number = {6959},
Pages = {665},
Year = {2003},
url = {http://www.phy.duke.edu/research/photon/qelectron/proj/infv/},
Abstract = {One consequence of the special theory of relativity is that
no signal can cause an effect outside the source light cone,
the space-time surface on which light rays emanate from the
source. Violation of this principle of relativistic
preceding its cause. Recent experiments on optical pulse
propagation in so-called 'fast-light' media--which are
characterized by a wave group velocity upsilon(g) exceeding
the vacuum speed of light c or taking on negative
values--have led to renewed debate about the definition of
the information velocity upsilon(i). One view is that
upsilon(i) = upsilon(g) (ref. 4), which would violate
causality, while another is that upsilon(i) = c in all
situations, which would preserve causality. Here we find
that the time to detect information propagating through a
fast-light medium is slightly longer than the time required
to detect the same information travelling through a vacuum,
even though upsilon(g) in the medium vastly exceeds c. Our
observations are therefore consistent with relativistic
causality and help to resolve the controversies surrounding
superluminal pulse propagation.},
Doi = {10.1038/nature02016},
Key = {fds246466}
}

@article{fds44136,
Author = {D.J. Gauthier and H.M. Concannon},
Title = {The two-photon laser},
Pages = {365 - 384},
Booktitle = {Nonlinear Spectroscopy of Solids: Advances and
Applications},
Publisher = {Plenum Press, New York},
Editor = {B. Di Bartolo and B. Bowlby},
Year = {1994},
Key = {fds44136}
}

@article{fds246301,
Author = {Kauranen, M and Gauthier, DJ and Malcuit, MS and Boyd,
RW},
Title = {Theory of vector phase conjugation by two-photon-resonant
degenerate four-wave mixing},
Pages = {106-107},
Year = {1989},
Abstract = {A semiclassical theory of phase conjugation by
two-photon-resonant degenerate four-wave mixing has been
developed. The theory treats both the tensor nature of the
interaction and the effects of saturation of the atomic
system. An S → S two-photon transition has been
considered, and the coupling strength for the generation of
the conjugate wave has been calculated for arbitrary pump
and probe beam polarizations and arbitrary pump intensities.
Results for high and low intensities are shown and
discussed.},
Key = {fds246301}
}

@article{fds52845,
Author = {L. Illing and J. N. Blakely and D. Gauthier},
Title = {Time delay systems with band-limited feedback},
Pages = {1115-1123},
Booktitle = {proceedings of the Fifth EUROMECH Nonlinear Dynamics
Conference (ENOC-2005), Eindhoven, The Netherlands, August
7--12},
Editor = {D.H. Van Campen and M.D. Lazurko W.P.J.M. Van Der
Oever},
Year = {2005},
Key = {fds52845}
}

@article{fds246302,
Author = {Gauthier, DJ and Zhu, Y and Morin, SE and Wu, Q and Carmichael, HJ and Mossberg, TW},
Title = {Time- and frequency-domain studies of multiatom vacuum Rabi
splitting in a large cavity},
Journal = {XVII International Conference on Quantum Electronics. Digest
of},
Pages = {186-187},
Year = {1990},
Abstract = {The first frequency- and time-domain observations of the
resonant large cavity and multiatom vacuum Rabi splitting
are reported. The transmission as a function of frequency
(time) of a weak CW (pulsed) laser beam through a
high-finesse (500), 1-cm, 7.5-GHz, free-spectral-range,
confocal Fabry-Perot cavity containing 850-1400 barium atoms
has been measured. A plot of cavity intensity throughput as
a function of the frequency of the CW input beam is shown
and discussed. The spectrum, which represents the
transmission function of the cavity, provides a way to
calculate the transient response of the atom-cavity
transmission based on linear systems theory. Equivalently,
the same transient response of the transmission is predicted
in terms of the quantized atom-cavity interaction. In either
case, a damped oscillatory response is expected. To study
this case, the temporal profile of a weak, smooth, ≅8-ns
pulse after transmission through the cavity in a case where
the number of Ba atoms within the cavity resulted in a large
frequency-domain splitting was recorded. Excellent agreement
with linear systems theory is observed.},
Key = {fds246302}
}

@article{fds246270,
Author = {Gauthier, DJ and Greenberg, JA},
Title = {Toward single-photon nonlinear optics via self-assembled
ultracold atoms},
Journal = {Optics InfoBase Conference Papers},
Year = {2010},
Month = {December},
Abstract = {We observe spontaneous parametric oscillation in a
laser-driven cloud of cold atoms. The threshold for this
instability is lowered dramatically due to self-assembled
atomic gratings that allow for self-phase matching of
atom-field wave mixing processes. © 2010 Optical Society of
America.},
Key = {fds246270}
}

@article{fds303663,
Author = {Gauthier, DJ and Haynes, ND and Rosin, DP and Rontani,
D},
Title = {Towards reservoir computing with time-delay autonomous
Boolean networks},
Year = {2015},
Month = {March},
Key = {fds303663}
}

@article{fds246407,
Author = {Greenberg, JA and Gauthier, DJ},
Title = {Transient dynamics and momentum redistribution in cold atoms
via recoil-induced resonances},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {79},
Number = {3},
Pages = {033414},
Year = {2009},
ISSN = {1050-2947},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRA79_033414.pdf},
Abstract = {We use an optically dense anisotropic magneto-optical trap
to study recoil-induced resonances (RIRs) in the transient
high-gain regime. We find that two distinct mechanisms
govern the atomic dynamics: the finite, frequency-dependent
atomic response time and momentum-space population
redistribution. At low input probe intensities, the residual
Doppler width of the atoms, combined with the finite atomic
response time, result in a linear transient hysteretic
effect that modifies the locations, widths, and magnitudes
of the resulting gain spectra depending on the sign of the
scan chirp. When larger intensities (i.e., greater than a
few μW/ cm2) are incident on the atomic sample for several
μs, hole burning in the atomic sample momentum distribution
leads to a coherent population redistribution that persists
for approximately 100 μs. We propose using RIRs to engineer
the atomic momentum distribution to enhance the nonlinear
atom-photon coupling. We present a numerical model and
compare the calculated and experimental results to verify
our interpretation. © 2009 The American Physical
Society.},
Doi = {10.1103/PhysRevA.79.033414},
Key = {fds246407}
}

@article{fds325800,
Author = {Lohmann, J and D'Huys, O and Haynes, ND and Schöll, E and Gauthier,
DJ},
Title = {Transient dynamics and their control in time-delay
autonomous Boolean ring networks.},
Journal = {Physical review. E},
Volume = {95},
Number = {2-1},
Pages = {022211},
Year = {2017},
Month = {February},
url = {http://dx.doi.org/10.1103/physreve.95.022211},
Abstract = {Biochemical systems with switch-like interactions, such as
gene regulatory networks, are well modeled by autonomous
Boolean networks. Specifically, the topology and logic of
gene interactions can be described by systems of continuous
piecewise-linear differential equations, enabling analytical
predictions of the dynamics of specific networks. However,
most models do not account for time delays along links
associated with spatial transport, mRNA transcription, and
translation. To address this issue, we have developed an
experimental test bed to realize a time-delay autonomous
Boolean network with three inhibitory nodes, known as a
repressilator, and use it to study the dynamics that arise
as time delays along the links vary. We observe various
nearly periodic oscillatory transient patterns with
extremely long lifetime, which emerge in small network
motifs due to the delay, and which are distinct from the
eventual asymptotically stable periodic attractors. For
repeated experiments with a given network, we find that
stochastic processes give rise to a broad distribution of
transient times with an exponential tail. In some cases, the
transients are so long that it is doubtful the attractors
will ever be approached in a biological system that has a
finite lifetime. To counteract the long transients, we show
experimentally that small, occasional perturbations applied
to the time delays can force the trajectories to rapidly
approach the attractors.},
Doi = {10.1103/physreve.95.022211},
Key = {fds325800}
}

@article{fds246228,
Author = {Rosin, DP and Rontani, D and Haynes, ND and Schöll, E and Gauthier,
DJ},
Title = {Transient scaling and resurgence of chimera states in
networks of Boolean phase oscillators.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {90},
Number = {3},
Pages = {030902},
Year = {2014},
Month = {September},
ISSN = {1539-3755},
url = {http://hdl.handle.net/10161/9271 Duke open
access},
Abstract = {We study networks of nonlocally coupled electronic
oscillators that can be described approximately by a
Kuramoto-like model. The experimental networks show long
complex transients from random initial conditions on the
route to network synchronization. The transients display
complex behaviors, including resurgence of chimera states,
which are network dynamics where order and disorder
coexists. The spatial domain of the chimera state moves
around the network and alternates with desynchronized
dynamics. The fast time scale of our oscillators (on the
order of 100ns) allows us to study the scaling of the
transient time of large networks of more than a hundred
nodes, which has not yet been confirmed previously in an
experiment and could potentially be important in many
natural networks. We find that the average transient time
increases exponentially with the network size and can be
modeled as a Poisson process in experiment and simulation.
This exponential scaling is a result of a synchronization
rate that follows a power law of the phase-space
volume.},
Doi = {10.1103/physreve.90.030902},
Key = {fds246228}
}

@booklet{Benda85,
Author = {Benda, JA and Gauthier, DJ and Boyd, RW},
Title = {Transient sum-frequency generation in resonant three-level
media},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {32},
Number = {6},
Pages = {3461-3466},
Year = {1985},
ISSN = {1050-2947},
url = {http://dx.doi.org/10.1103/PhysRevA.32.3461},
Abstract = {Resonantly enhanced sum-frequency generation of pulsed laser
radiation is treated theoretically for the case of a
three-level system. The density-matrix equations of motion
are solved using second-order, time-dependent perturbation
theory with the inclusion of transient effects. The energy
and spectrum of the generated radiation are calculated as
functions of laser detunings, laser pulse lengths, and
temporal overlap of the laser pulses. The tuning
characteristics and output pulse characteristics are found
to differ qualitatively depending on whether or not the
excitation pulses satisfy the adiabatic following criteria
generalized for the case of a three-level atom. © 1985 The
American Physical Society.},
Doi = {10.1103/PhysRevA.32.3461},
Key = {Benda85}
}

@article{fds246306,
Author = {Bahar, S and Hall, GM and Oliver, RA and Krassowska, W and Gauthier,
DJ},
Title = {Transitions between 2:1 and 1:1 responses in cardiac muscle
Journal = {Annual International Conference of the IEEE Engineering in
Medicine and Biology - Proceedings},
Volume = {1},
Pages = {258-},
Year = {1999},
Abstract = {We demonstrate experimentally that transitions can be
induced between stable coexisting response patterns in
bullfrog ventricular myocardium by means of a single pulse
injected into the stimulus train. We find that two distinct
ranges of stimulus timings will elicit transitions from a
1:1 state, in which one stimulus elicits one response, and a
2:1 state, in which every other stimulus elicits a response.
We also observe two distinct types of 2:1→1:1 transition.
These transitions are differentiated by their transient
behavior while settling from one stable state into another.
We characterize these transitions, and the ranges of added
stimulus timings which produce them, both experimentally and
with two simple models of cardiac dynamics.},
Key = {fds246306}
}

@booklet{Venkataramani96,
Author = {Venkataramani, SC and Hunt, BR and Ott, E and Gauthier, DJ and Bienfang,
JC},
Title = {Transitions to bubbling of chaotic systems},
Journal = {Physical Review Letters},
Volume = {77},
Number = {27},
Pages = {5361-5364},
Year = {1996},
Abstract = {Certain dynamical systems exhibit a phenomenon called
bubbling, whereby small perturbations induce intermittent
bursting. In this Letter we show that, as a parameter is
varied through a critical value, the transition to bubbling
can be "hard" (the bursts appear abruptly with large
amplitude) or "soft" (the maximum burst amplitude increases
continuously from zero), and that the presence or absence of
symmetry in the unperturbed system has a fundamental effect
on these transitions. These results are confirmed by
numerical and physical experiments. © 1996 The American
Physical Society.},
Key = {Venkataramani96}
}

@article{fds246434,
Author = {Boyd, RW and Gauthier, DJ},
Title = {Transparency on an optical chip},
Journal = {an invited article in Nature},
Volume = {441},
Pages = {701},
Year = {2006},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/Nature441_701.pdf},
Key = {fds246434}
}

@article{fds324413,
Author = {Schmittberger, BL and Gauthier, DJ},
Title = {Transverse optical and atomic pattern formation},
Journal = {Journal of the Optical Society of America
B},
Volume = {33},
Number = {7},
Pages = {1543-1543},
Year = {2016},
Month = {July},
url = {http://dx.doi.org/10.1364/JOSAB.33.001543},
Doi = {10.1364/JOSAB.33.001543},
Key = {fds324413}
}

@article{fds246265,
Author = {Gauthier, DJ and Schmittberger, BL and Greenberg,
JA},
Title = {Transverse optical patterns for low-light-level optical
switching},
Journal = {Optics InfoBase Conference Papers},
Year = {2013},
Month = {December},
Abstract = {We demonstrate that Sisyphus cooling of atoms leads to a new
source of nonlinear optical interaction that drastically
increases the interaction strength. This increased coupling
leads to low-threshold pattern formation, with applications
in single-photon switching. © OSA 2013.},
Key = {fds246265}
}

@article{fds246401,
Author = {Dawes, AMC and Gauthier, DJ and Schumacher, S and Kwong, NH and Binder,
R and Smirl, AL},
Title = {Transverse optical patterns for ultra-low-light-level
all-optical switching},
Journal = {Laser & Photonics Reviews},
Volume = {4},
Number = {2},
Pages = {221-243},
Year = {2010},
ISSN = {1863-8880},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/LaserPhotonRev4_221_2010.pdf},
Abstract = {We review recent theoretical and experimental efforts toward
developing an all-optical switch based on transverse optical
patterns. Transverse optical patterns are formed when
counterpropagating laser beams interact with a nonlinear
medium. A perturbation, in the form of a weak switch beam
injected into the nonlinear medium, controls the orientation
of the generated patterns. Each state of the pattern
orientation is associated with a state of the switch. That
is, information is stored in the orientation state. A
realization of this switch using a warm rubidium vapor shows
that it can be actuated by as few as 600±40 photons with a
response time of 5μs. Models of non-linear optical
interactions in semiconductor quantum wells and
microresonators suggest these systems are also suitable for
use as fast all-optical switches using this same conceptual
design, albeit at higher switching powers. © 2010 by
WILEY-VCH Verlag GmbH &amp; Co. KGaA, Weinheim.},
Doi = {10.1002/lpor.200810067},
Key = {fds246401}
}

@article{fds246344,
Author = {Dawes, AMC and Gauthier, DJ},
Title = {Transverse patterns for all-optical switching},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Booktitle = {Proceedings of The Ninth Rochester Conference on Coherence
on Quantum Optics (CQO9)},
Publisher = {American Institute of Physics},
Editor = {N. Bigelow and J. Eberly and C. Stroud, Jr.},
Year = {2008},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/cqo9.pdf},
Abstract = {Transverse optical patterns, generated by nonlinear
interactions, rotate in the presence of a weak switch beam.
Using an experimental system with increased symmetry, we
observe that the switch can be actuated by ∼2100 photons.
© 2008 Optical Society of America.},
Doi = {10.1109/QELS.2008.4553025},
Key = {fds246344}
}

@booklet{Mossberg91,
Author = {Mossberg, TW and Lewenstein, M and Gauthier, DJ},
Title = {Trapping and cooling of atoms in a vacuum perturbed in a
frequency-dependent manner},
Journal = {Physical Review Letters},
Volume = {67},
Number = {13},
Pages = {1723-1726},
Year = {1991},
ISSN = {0031-9007},
url = {http://dx.doi.org/10.1103/PhysRevLett.67.1723},
Abstract = {We show that light-induced mechanical forces that act on
atoms may be significantly enhanced and acquire novel
physical character when the electromagnetic reservoir which
mediates the atomic relaxation is colored (i.e., frequency
dependent). © 1991 The American Physical
Society.},
Doi = {10.1103/PhysRevLett.67.1723},
Key = {Mossberg91}
}

@article{fds311266,
Author = {Okawachi, Y and Sharping, JE and Gaeta, AL and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {Tunable all-optical delays via brillouin slow light in an
optical fiber},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {We demonstrate a technique for generating tunable
all-optical delays as long as 20 ns in single-mode fibers at
telecommunication wavelengths using stimulated Brillouin
scattering. This process represents a step towards
implementing slow-light in telecommunication systems. ©
2005 Optical Society of America.},
Key = {fds311266}
}

@article{fds311316,
Author = {Okawachi, Y and Sharping, JE and Gaeta, AL and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {Tunable all-optical delays via brillouin slow light in an
optical fiber},
Journal = {Optics InfoBase Conference Papers},
Year = {2005},
Month = {January},
Abstract = {We demonstrate a technique for generating tunable
all-optical delays as long as 20 ns in single-mode fibers at
telecommunication wavelengths using stimulated Brillouin
scattering. This process represents a step towards
implementing slow-light in telecommunication systems. ©
2005 Optical Society of America.},
Key = {fds311316}
}

@article{fds246460,
Author = {Okawachi, Y and Bigelow, MS and Sharping, JE and Zhu, Z and Schweinsberg, A and Gauthier, DJ and Boyd, RW and Gaeta,
AL},
Title = {Tunable all-optical delays via brillouin slow light in an
optical fiber},
Journal = {Physical Review Letters},
Volume = {94},
Number = {15},
Pages = {511-513},
Year = {2005},
ISSN = {0031-9007},
url = {http://www.phy.duke.edu/research/photon/qelectron/pubs/PRL94_153902.pdf},
Abstract = {We demonstrate a technique for generating tunable
all-optical delays in room temperature single-mode optical
fibers at telecommunication wavelengths using the stimulated
Brillouin scattering process. This technique makes use of
the rapid variation of the refractive index that occurs in
the vicinity of the Brillouin gain feature. The wavelength
at which the induced delay occurs is broadly tunable by
controlling the wavelength of the laser pumping the process,
and the magnitude of the delay can be tuned continuously by
as much as 25 ns by adjusting the intensity of the pump
field. The technique can be applied to pulses as short as 15
ns. This scheme represents an important first step towards
implementing slow-light techniques for various applications
including buffering in telecommunication systems. © 2005
The American Physical Society.},
Doi = {10.1103/PhysRevLett.94.153902},
Key = {fds246460}
}

@article{fds311268,
Author = {Okawachi, Y and Sharping, JE and Gaeta, AL and Bigelow, MS and Schweinsberg, A and Boyd, RW and Zhu, Z and Gauthier,
DJ},
Title = {Tunable all-optical delays via Brillouin slow light in an
optical fiber},
Journal = {2005 Conference on Lasers and Electro-Optics,
CLEO},
Volume = {1},
Pages = {511-513},
Year = {2005},
Abstract = {We demonstrate a technique for generating tunable
all-optical delays as long as 20 ns in single-mode fibers at
telecommunication wavelengths using stimulated Brillouin
scattering. This process represents a step towards
implementing slow-light in telecommunication systems. ©
2005 Optical Society of America.},
Key = {fds311268}
}

@article{fds246495,
Author = {Fernández-Soler, JJ and Font, JL and Vilaseca, R and Gauthier, DJ and Kul'minski, A and Pfister, O},
Title = {Two-photon amplification and lasing in laser-driven
potassium atoms: Theoretical analysis},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {65},
Number = {3 A},
Pages = {031803/1-031803/4},
Year = {2002},
Abstract = {A semi-classical model of the interaction between two
intense electromagnetic fields with fixed states of
polarization and a collection of potassium atoms is
introduced. The model is used to explain features of the
recent two-photon amplification and lasing experiments. The
model takes into account the population and coherence
effects brought about by the presence of the intense drive
and probe (or lasing) fields as well as the details of the
hyperfine level manifolds involved in the atom-field
interaction.},
Key = {fds246495}
}

@article{fds318447,
Author = {Kul'minskii, A and Gauthier, DJ and Fernandez, J and Font, JL and Vilaseca, R and Pfister, O},
Title = {Two-photon amplification and lasing in laser-driven
potassium atoms: Theoretical analysis},
Journal = {Conference on Quantum Electronics and Laser Science (QELS) -
Technical Digest Series},
Volume = {74},
Pages = {151-152},
Year = {2002},
Abstract = {The very recent results on efficient two-photon
amplification and lasing in a potassium atomic beam are
opening a way for the experimental investigation of the
properties of two-photon laser systems. A model of the
interaction between two intense fields and a collection of
potassium atoms is presented. The model is used to explain
features of the recent two-photon experiments.},
Key = {fds318447}
}

@article{fds304565,
Author = {Krasinski, J and Gauthier, DJ and Malcuit, MS and Boyd,
RW},
Title = {Two-photon conical emission},
Journal = {Optics Communications},
Volume = {54},
Number = {4},
Pages = {241-245},
Year = {1985},
ISSN = {0030-4018},
Abstract = {A two-photon resonantly enhanced four-wave mixing (FWM)
process leading to the conical emission of two new frequency
components has been observed in atomic sodium vapor. A dye
laser tuned close to the 3s → 3d two-photon allowed
transition produces broad-band emission near the frequencies
of the 3d → 3p and 3p → 3s transitions. This radiation
is emitted in the forward direction in the form of cones
surrounding the transmitted laser beam. The dependence of
the cone angle on the emission wavelength and atomic number
density is in excellent agreement with the predictions of a
model that ascribes the origin of the conical emission to a
1985.},
Key = {fds304565}
}

@article{fds16317,
Author = {D.J. Gauthier},
Title = {Two-photon lasers},
Volume = {45},
Pages = {205-272},
Booktitle = {Progress in Optics},
Publisher = {Elsevier, Amsterdam},
Editor = {E. Wolf},
Year = {2003},
Key = {fds16317}
}

@article{fds246508,
Author = {Pfister, O and Brown, WJ and Stenner, MD and Gauthier,
DJ},
Title = {Two-photon stimulated emission in laser-driven alkali-metal
atoms using an orthogonal pump-probe geometry},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {60},
Number = {6},
Pages = {R4249-R4252},
Year = {1999},
Abstract = {We observe and analyze a two-photon continuous-wave optical
gain mechanism designed for building a two-photon laser. The
two-photon stimulated emission is spectrally isolated and
resonantly enhanced using the multilevel structure of 39K,
in conjunction with an alternative interaction geometry
involving orthogonal beams and polarizations. The observed
two-photon laser beam amplification increases linearly with
low input laser beam intensity, as expected, and saturates
at a gain of 2 × 10-4 at high intensity. A theoretical
analysis of the observations is outlined.},
Key = {fds246508}
}

@article{fds246432,
Author = {Illing, L and Gauthier, DJ},
Title = {Ultra-high-frequency chaos in a time-delay electronic device
with band-limited feedback.},
Journal = {Chaos},
Volume = {16},
Number = {3},
Pages = {033119},
Year = {2006},
Month = {September},
ISSN = {1054-1500},
url = {http://www.ncbi.nlm.nih.gov/pubmed/17014224},
Abstract = {We report an experimental study of ultra-high-frequency
chaotic dynamics generated in a delay-dynamical electronic
device. It consists of a transistor-based nonlinearity,
commercially-available amplifiers, and a transmission-line
for feedback. The feedback is band-limited, allowing tuning
of the characteristic time-scales of both the periodic and
high-dimensional chaotic oscillations that can be generated
with the device. As an example, periodic oscillations
ranging from 48 to 913 MHz are demonstrated. We develop a
model and use it to compare the experimentally observed Hopf
bifurcation of the steady-state to existing theory [Illing
and Gauthier, Physica D 210, 180 (2005)]. We find good
quantitative agreement of the predicted and the measured
bifurcation threshold, bifurcation type and oscillation
frequency. Numerical integration of the model yields
quasiperiodic and high dimensional chaotic solutions
(Lyapunov dimension approximately 13), which match
qualitatively the observed device dynamics.},
Doi = {10.1063/1.2335814},
Key = {fds246432}
}

@article{fds246373,
Author = {Cohen, SD and Rontani, D and Gauthier, DJ},
Title = {Ultra-high-frequency piecewise-linear chaos using delayed
feedback loops.},
Journal = {Chaos},
Volume = {22},
Number = {4},
Pages = {043112},
Year = {2012},
Month = {December},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23278047},
Abstract = {We report on an ultra-high-frequency (>1 GHz),
piecewise-linear chaotic system designed from low-cost,
commercially available electronic components. The system is
composed of two electronic time-delayed feedback loops: A
primary analog loop with a variable gain that produces
multi-mode oscillations centered around 2 GHz and a
secondary loop that switches the variable gain between two
different values by means of a digital-like signal. We
demonstrate experimentally and numerically that such an
approach allows for the simultaneous generation of analog
and digital chaos, where the digital chaos can be used to
partition the system's attractor, forming the foundation for
a symbolic dynamics with potential applications in
Doi = {10.1063/1.4766593},
Key = {fds246373}
}

@article{fds246263,
Author = {Schmittberger, BL and Greenberg, JA and Gauthier,
DJ},
Title = {Ultra-low-threshold optical pattern formation in a cold
atomic vapor},
Journal = {Optics InfoBase Conference Papers},
Year = {2013},
Month = {December},
Key = {fds246263}
}

@article{fds246238,
Author = {Schmittberger, BL and Greenberg, JA and Gauthier,
DJ},
Title = {Ultra-low-threshold optical pattern formation in a cold
atomic vapor},
Journal = {2013 Conference on Lasers and Electro-Optics Europe and
International Quantum Electronics Conference,
CLEO/Europe-IQEC 2013},
Year = {2013},
Month = {January},
url = {http://dx.doi.org/10.1109/CLEOE-IQEC.2013.6801811},
Abstract = {The study of pattern formation in nonlinear optical systems
has provided new insight into a wide variety of phenomena
such as fundamental many-body physics, optical soliton
formation, nonlinear lensing, and transverse optical pattern
formation [1]. The generation of transverse optical patterns
in cold atomic vapors is of particular interest in condensed
matter physics because the resulting multimode optical
fields act back on the atoms and create self-organized
density gratings of atoms [2] . The formation of these
density gratings enhances the nonlinear response of the
system, which leads to lower threshold input powers required
for pattern formation. Achieving sufficiently low threshold
powers would make optical pattern formation in cold atomic
systems relevant to creating quantum networks and performing
weak measurements [3]. © 2013 IEEE.},
Doi = {10.1109/CLEOE-IQEC.2013.6801811},
Key = {fds246238}
}

@article{fds246290,
Author = {Rosin, DP and Rontani, D and Gauthier, DJ},
Title = {Ultrafast physical generation of random numbers using hybrid
Boolean networks.},
Journal = {Physical Review E - Statistical, Nonlinear, and Soft Matter
Physics},
Volume = {87},
Number = {4},
Pages = {040902},
Year = {2013},
Month = {April},
url = {http://www.ncbi.nlm.nih.gov/pubmed/23679363},
Abstract = {We describe a high-speed physical random number generator
based on a hybrid Boolean network with autonomous and
clocked logic gates, realized on a reconfigurable chip. The
autonomous logic gates are arranged in a bidirectional ring
topology and generate broadband chaos. The clocked logic
gates receive input from the autonomous logic gates so that
random numbers are generated physically that pass standard
randomness tests without further postprocessing. The large
number of logic gates on reconfigurable chips allows for
parallel generation of random numbers, as demonstrated by
our implementation of 128 physical random number generators
that achieve a real-time bit rate of 12.8Gbits/s.},
Doi = {10.1103/PhysRevE.87.040902},
Key = {fds246290}
}

@booklet{Zhang91,
Author = {Zhang, JM and Gauthier, DJ and Huang, J and Mossberg,
TW},
Title = {Use of phase-noisy laser fields in the storage of optical
absorbers},
Journal = {Opt. Lett.},
Volume = {16},
Number = {2},
Pages = {103-105},
Year = {1991},
Month = {January},
Key = {Zhang91}
}

@article{fds246256,
Author = {Dawes, AMC and Gauthier, DJ},
Title = {Using transverse patterns for all-optical
switching},
Journal = {Optics InfoBase Conference Papers},
Year = {2007},
Month = {January},
Abstract = {We observe that a transverse optical pattern changes
orientation in the presence of an ultra-low-light-level
beam. This switch displays transistor-like behavior. © 2007
Optical Society of America.},
Key = {fds246256}
}

@booklet{Zhu90a,
Author = {Zhu, Y and Gauthier, DJ and Morin, SE and Wu, Q and Carmichael, HJ and Mossberg, TW},
Title = {Vacuum rabi splitting as a feature of linear-dispersion
theory: Analysis and experimental observations},
Journal = {Physical Review Letters},
Volume = {64},
Number = {21},
Pages = {2499-2502},
Year = {1990},
ISSN = {0031-9007},
Abstract = {The spectral and temporal response of an optical cavity
resonantly coupled to an ensemble of barium atoms has been
investigated experimentally. The empty-cavity transmission
resonances are found to split in the presence of the atoms
and, under these conditions, the cavity's temporal response
is found to be oscillatory. These effects may be viewed as a
manifestation of a vacuum-field Rabi splitting, or as a
simple consequence of the linear absorption and dispersion
of the intracavity atoms.},
Key = {Zhu90a}
}

@booklet{Malcuit88,
Author = {Malcuit, MS and Gauthier, DJ and Boyd, RW},
Title = {Vector phase conjugation by two-photon-resonant degenerate
four-wave mixing},
Journal = {Opt. Lett.},
Volume = {13},
Number = {8},
Pages = {663-665},
Year = {1988},
Month = {August},
Key = {Malcuit88}
}

@article{fds246396,
Author = {Zheng, H and Gauthier, DJ and Baranger, HU},
Title = {Waveguide QED: Many-body bound-state effects in coherent and
Fock-state scattering from a two-level system},
Journal = {Physical Review A - Atomic, Molecular, and Optical
Physics},
Volume = {82},
Number = {6},
Pages = {063816},
Year = {2010},
ISSN = {1050-2947},
url = {http://hdl.handle.net/10161/8974 Duke open
access},
Abstract = {Strong coupling between a two-level system (TLS) and bosonic
modes produces dramatic quantum optics effects. We consider
a one-dimensional continuum of bosons coupled to a single
localized TLS, a system which may be realized in a variety
of plasmonic, photonic, or electronic contexts. We present
the exact many-body scattering eigenstate obtained by
imposing open boundary conditions. Multiphoton bound states
appear in the scattering of two or more photons due to the
coupling between the photons and the TLS. Such bound states
are shown to have a large effect on scattering of both Fock-
and coherent-state wave packets, especially in the
intermediate coupling-strength regime. We compare the
statistics of the transmitted light with a coherent state
having the same mean photon number: as the interaction
strength increases, the one-photon probability is suppressed
rapidly, and the two- and three-photon probabilities are
greatly enhanced due to the many-body bound states. This
results in non-Poissonian light. © 2010 The American
Physical Society.},
Doi = {10.1103/PhysRevA.82.063816},
Key = {fds246396}
}

@article{fds220520,
Author = {H. Zheng and D.J. Gauthier and H.U. Baranger},
Title = {Waveguide-QED-Based Photonic Quantum Computation},
Journal = {Phys. Rev. Lett.},
Volume = {111},
Pages = {090502},
Year = {2013},
Month = {August},
url = {http://www.phy.duke.edu/~qelectron/pubs/PRL111_090502_2013.pdf},
Key = {fds220520}
}

@article{fds303664,
Author = {Zheng, H and Gauthier, DJ and Baranger, HU},
Title = {Waveguide-QED-Based Photonic Quantum Computation},
Journal = {Phys. Rev. Lett.},
Volume = {111},
Pages = {090502},
Year = {2012},
Month = {November},
url = {http://arxiv.org/abs/1211.1711v3},
Abstract = {We propose a new scheme for quantum computation using flying
qubits--propagating photons in a one-dimensional
waveguide--interacting with matter qubits. Photon-photon
interactions are mediated by the coupling to a three- or
four-level system, based on which photon-photon \pi-phase
gates (Controlled-NOT) can be implemented for universal
quantum computation. We show that high gate fidelity is
possible given recent dramatic experimental progress in
superconducting circuits and photonic-crystal waveguides.
The proposed system can be an important building block for
future on-chip quantum networks.},
Doi = {10.1103/PhysRevLett.111.090502},
Key = {fds303664}
}

@article{fds246249,
Author = {Zhu, Z and Gauthier, DJ},
Title = {XPM-induced pulse delay and advancement in optical
fiber},
Journal = {Optics InfoBase Conference Papers},
Year = {2006},
Month = {January},
Abstract = {Cross-phase-modulation-induced pulse delay or advancement in
an optical fiber is analyzed. It is shown that XPM and
group-velocity mismatch can lead to controllable pulse delay
Optical Society of America.},
Key = {fds246249}
}

@article{fds246330,
Author = {Zhu, Z and Gauthier, DJ},
Title = {XPM-induced pulse delay and advancement in optical
fiber},
Journal = {Conference on Lasers and Electro-Optics and 2006 Quantum
Electronics and Laser Science Conference, CLEO/QELS
2006},
Year = {2006},
url = {http://dx.doi.org/10.1109/CLEO.2006.4628520},
Abstract = {Cross-phase-modulation-induced pulse delay or advancement in
an optical fiber is analyzed. It is shown that XPM and
group-velocity mismatch can lead to controllable pulse delay
Optical Society of America.},
Doi = {10.1109/CLEO.2006.4628520},
Key = {fds246330}
}

%% Papers Accepted
@article{fds246264,
Author = {Gauthier, DJ and Wildfeuer, CF and Guilbert, H and Stipčević, M and Christensen, B and Kumor, D and Kwiat, P and McCusker, K and Brougham,
T and Barnett, SM},
Title = {Quantum key distribution using hyperentangled time-bin
states},
Journal = {Optics InfoBase Conference Papers},
Editor = {N. Bigelow and J. Eberly},
Year = {2013},
Month = {December},
url = {http://www.phy.duke.edu/~qelectron/pubs/GauthierQIMAug23-2013-Paper.pdf},
Abstract = {We describe our progress on achieving quantum key
distribution with high photon efficiency and high rate using
hyperentanglement. Methods of securing time-bin states and
classical error correction appropriate for our
high-dimension protocols will be discussed. © OSA
2013.},
Key = {fds246264}
}

%% Papers Submitted
@article{fds220527,
Author = {M. Stipcevic and D.J. Gauthier},
Title = {Precise Monte Carlo simulation of single-photon detectors
with active quenching},
Year = {2013},
Month = {September},
Key = {fds220527}
}

@article{fds220526,
Author = {D.P. Rosin and D. Rontani and D.J. Gauthier},
Title = {Synchronization of coupled Boolean phase oscillators,'
submitted for publication},
Year = {2013},
Month = {November},
url = {http://arxiv.org/abs/1311.2996},
Key = {fds220526}
}

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