Publications of Matthew B. Hastings    :chronological  alphabetical  combined  bibtex listing:

Papers Published
  1. Ann B. Kallin, Matthew B. Hastings, Roger G. Melko, Rajiv R. P. Singh, Title: Anomalies in the Entanglement Properties of the Square Lattice Heisenberg Model, Physical Review B, vol. 84 (2011), pp. 165134 .
  2. Sergei V. Isakov, Matthew B. Hastings, Roger G. Melko, Title: Topological Entanglement Entropy of a Bose-Hubbard Spin Liquid, Nature Physics, vol. 7 (2011), pp. 772 .
  3. Rajiv R. P. Singh, Matthew B. Hastings, Ann B. Kallin, Roger G. Melko, Finite Temperature Critical Behavior of Mutual Information, Physical Review Letters, vol. 106 (2011), pp. 135701 .
  4. David Poulin, Matthew B. Hastings, Markov entropy decomposition: a variational dual for quantum belief propagation Authors:, Physical Review Letters, vol. 106 (2011), pp. 080403 .
  5. M.B. Hastings and T. A. Loring, Topological Insulators and C^*-Algebras: Theory and Numerical Practice Authors:, Annals of Physics, vol. 326 no. 1699 (2011) .
  6. Mari Carmen Bañuls, J. Ignacio Cirac, Matthew B. Hastings, Strong and weak thermalization of infinite non-integrable quantum systems, Physical Review Letters, vol. 106 (2011), pp. 050405 .
  7. Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Kevin Walker, and Zhenghan Wang, Projective ribbon permutation statistics: A remnant of non-Abelian braiding in higher dimensions, Physical Review B, vol. 83 (2011), pp. 115132 .
  8. M.B. Hastings, Topological Order at Non-zero Temperature, Physical Review Letters, vol. 107 (2011), pp. 210501 .
  9. S. Bravyi and M.B. Hastings, A short proof of stability of topological order under local perturbations, Commun. Math. Phys. (2011) .
  10. Gottesman, D. and Hastings, M. B., Entanglement versus gap for one-dimensional spin systems, NEW JOURNAL OF PHYSICS, vol. 12 (2010) [doi] [abs] .
  11. Melko, R. G. and Kallin, A. B. and Hastings, M. B., Finite-size scaling of mutual information in Monte Carlo simulations: Application to the spin-1/2 XXZ model, PHYSICAL REVIEW B, vol. 82 no. 10 (2010) [doi] [abs] .
  12. Hastings, M. B. and Loring, T. A., Almost commuting matrices, localized Wannier functions, and the quantum Hall effect, JOURNAL OF MATHEMATICAL PHYSICS, vol. 51 no. 1 (2010) [doi] [abs] .
  13. Bravyi, S. and Hastings, M. B. and Michalakis, S., Topological quantum order: Stability under local perturbations, JOURNAL OF MATHEMATICAL PHYSICS, vol. 51 no. 9 (2010) [doi] [abs] .
  14. Hastings, M. B. and Gonzalez, I. and Kallin, A. B. and Melko, R. G., Measuring Renyi Entanglement Entropy in Quantum Monte Carlo Simulations, PHYSICAL REVIEW LETTERS, vol. 104 no. 15 (2010) [doi] [abs] .
  15. Kallin, A. B. and Gonzalez, I. and Hastings, M. B. and Melko, R. G., Valence Bond and von Neumann Entanglement Entropy in Heisenberg Ladders, PHYSICAL REVIEW LETTERS, vol. 103 no. 11 (2009) [doi] [abs] .
  16. Hastings, M. B. and Harrow, A. W., CLASSICAL AND QUANTUM TENSOR PRODUCT EXPANDERS, QUANTUM INFORMATION & COMPUTATION, vol. 9 no. 3-4 (2009), pp. 336--360 [abs] .
  17. Banuls, M. C. and Hastings, M. B. and Verstraete, F. and Cirac, J. I., Matrix Product States for Dynamical Simulation of Infinite Chains, PHYSICAL REVIEW LETTERS, vol. 102 no. 24 (2009) [doi] [abs] .
  18. Hastings, M. B., Quantum Adiabatic Computation with a Constant Gap Is Not Useful in One Dimension, PHYSICAL REVIEW LETTERS, vol. 103 no. 5 (2009) [doi] [abs] .
  19. Hastings, M. B., Light-cone matrix product, JOURNAL OF MATHEMATICAL PHYSICS, vol. 50 no. 9 (2009) [doi] [abs] .
  20. Hastings, M. B., Superadditivity of communication capacity using entangled inputs, NATURE PHYSICS, vol. 5 no. 4 (2009), pp. 255--257 [doi] [abs] .
  21. Hastings, M. B., Making Almost Commuting Matrices Commute, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 291 no. 2 (2009), pp. 321--345 [doi] [abs] .
  22. Hastings, M. B., Inference from Matrix Products: A Heuristic Spin-Glass Algorithm, PHYSICAL REVIEW LETTERS, vol. 101 no. 16 (2008) [doi] [abs] .
  23. Wolf, M. M. and Verstraete, F. and Hastings, M. B. and Cirac, J. I., Area laws in quantum systems: Mutual information and correlations, PHYSICAL REVIEW LETTERS, vol. 100 no. 7 (2008) [doi] [abs] .
  24. Hastings, M. B., Topology and phases in fermionic systems, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2008) [doi] [abs] .
  25. Hastings, M. B., Observations outside the light cone: Algorithms for nonequilibrium and thermal states, PHYSICAL REVIEW B, vol. 77 no. 14 (2008) [doi] [abs] .
  26. Hastings, M. B., An area law for one-dimensional quantum systems, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2007) [doi] [abs] .
  27. Mozyrsky, D. and Martin, I. and Hastings, M. B. and Shnirman, A., Renormalization of resonant tunneling in MOSFETs, JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE, vol. 4 no. 4 (2007), pp. 772--776 [abs] .
  28. Hastings, M. B., Entropy and entanglement in quantum ground states, PHYSICAL REVIEW B, vol. 76 no. 3 (2007) [doi] [abs] .
  29. Ben-Naim, E. and Hastings, M. B. and Izraelevitz, D., Statistics of partial minima, JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol. 40 (2007), pp. F1021--F1030 [doi] [abs] .
  30. Hastings, M. B., Quantum belief propagation: An algorithm for thermal quantum systems, PHYSICAL REVIEW B, vol. 76 no. 20 (2007) [doi] [abs] .
  31. Hastings, M. B., Quasi-adiabatic continuation in gapped spin and fermion systems: Goldstone's theorem and flux periodicity, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2007) [doi] [abs] .
  32. Hastings, M. B., Random unitaries give quantum expanders, PHYSICAL REVIEW A, vol. 76 (2007) [doi] [abs] .
  33. Kozma, B. and Hastings, M. B. and Korniss, G., Diffusion processes on small-world networks with distance dependent random links, JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2007) [doi] [abs] .
  34. Hastings, M. B. and Koma, T., Spectral gap and exponential decay of correlations, COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 265 no. 3 (2006), pp. 781--804 [doi] [abs] .
  35. Korniss, G. and Hastings, M. B. and Bassler, K. E. and Berryman, M. J. and Kozma, B. and Abbott, D., Scaling in small-world resistor networks, PHYSICS LETTERS A, vol. 350 (2006), pp. 324--330 [doi] [abs] .
  36. Hastings, M. B., Solving gapped hamiltonians locally, PHYSICAL REVIEW B, vol. 73 no. 8 (2006) [doi] [abs] .
  37. Hastings, M. B. and Mudry, C., Universal scaling relations in strongly anisotropic materials, PHYSICAL REVIEW LETTERS, vol. 96 no. 2 (2006) [doi] [abs] .
  38. Bravyi, S. and Hastings, M. B. and Verstraete, F., Lieb-robinson bounds and the generation of correlations and topological quantum order, PHYSICAL REVIEW LETTERS, vol. 97 no. 5 (2006) [doi] [abs] .
  39. Amoruso, C. and Hartmann, A. K. and Hastings, M. B. and Moore, M. A., Conformal invariance and stochastic loewner evolution processes in two-dimensional Ising spin glasses, PHYSICAL REVIEW LETTERS, vol. 97 no. 26 (2006) [doi] [abs] .
  40. Praz, A. and Mudry, C. and Hastings, M. B., Scaling relations in the quasi-two-dimensional Heisenberg antiferromagnet, PHYSICAL REVIEW B, vol. 74 no. 18 (2006) [doi] [abs] .
  41. Mozyrsky, D. and Hastings, M. B. and Martin, I., Intermittent polaron dynamics: Born-Oppenheimer approximation out of equilibrium, PHYSICAL REVIEW B, vol. 73 no. 3 (2006) [doi] [abs] .
  42. Hastings, M. B., Community detection as an inference problem, PHYSICAL REVIEW E, vol. 74 no. 3 (2006) [doi] [abs] .
  43. Hastings, M. B., Systematic series expansions for processes on networks, PHYSICAL REVIEW LETTERS, vol. 96 no. 14 (2006) [doi] [abs] .
  44. Hastings, M. B. and Wen, X. G., Quasiadiabatic continuation of quantum states: The stability of topological ground-state degeneracy and emergent gauge invariance, PHYSICAL REVIEW B, vol. 72 no. 4 (2005) [doi] [abs] .
  45. Hastings, M. B., Statistical mechanics of interfering links, PHYSICAL REVIEW E, vol. 72 no. 1 (2005) [doi] [abs] .
  46. Reichhardt, C. and Reichhardt, C. J. O. and Hastings, M. B., Glassy ratchets for collectively interacting particles, PHYSICS LETTERS A, vol. 342 no. 1-2 (2005), pp. 162--167 [doi] [abs] .
  47. Drocco, J. A. and Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Multiscaling at point J: Jamming is a critical phenomenon, PHYSICAL REVIEW LETTERS, vol. 95 no. 8 (2005) [doi] [abs] .
  48. Kozma, B. and Hastings, M. B. and Korniss, G., Processes on annealed and quenched power-law small-world networks, Noise in Complex Systems and Stochastic Dynamics III, vol. 5845 (2005), pp. 130--138 [doi] [abs] .
  49. Hastings, M. B., Sufficient conditions for topological order in insulators, EUROPHYSICS LETTERS, vol. 70 no. 6 (2005), pp. 824--830 [doi] [abs] .
  50. Kozma, B. and Hastings, M. B. and Korniss, G., Diffusion processes on power-law small-world networks, PHYSICAL REVIEW LETTERS, vol. 95 no. 1 (2005) [doi] [abs] .
  51. Hastings, M. B., Lieb-Schultz-Mattis in higher dimensions, PHYSICAL REVIEW B, vol. 69 no. 10 (2004) [doi] [abs] .
  52. Hastings, M. B., Decay of correlations in Fermi systems at nonzero temperature, PHYSICAL REVIEW LETTERS, vol. 93 no. 12 (2004) [doi] [abs] .
  53. Hastings, M. B., Locality in quantum and Markov dynamics on lattices and networks, PHYSICAL REVIEW LETTERS, vol. 93 no. 14 (2004) [doi] [abs] .
  54. Reichhardt, C. and Reichhardt, C. J. O. and Hastings, M. B., Nonlinear dynamics, rectification, and phase locking for particles on symmetrical two-dimensional periodic substrates with dc and circular ac drives, PHYSICAL REVIEW E, vol. 69 (2004) [doi] [abs] .
  55. Kozma, B. and Hastings, M. B. and Korniss, G., Roughness scaling for Edwards-Wilkinson relaxation in small-world networks, PHYSICAL REVIEW LETTERS, vol. 92 no. 10 (2004) [doi] [abs] .
  56. Reichhardt, C. J. O. and Reichhardt, C. and Hastings, M. B. and Janko, B., Ratchet superconducting vortex cellular automata, PHYSICA C-SUPERCONDUCTIVITY AND ITS APPLICATIONS, vol. 404 no. 1-4 (2004), pp. 266--272 [doi] [abs] .
  57. Hastings, M. B., An epsilon-expansion for small-world networks, EUROPEAN PHYSICAL JOURNAL B, vol. 42 no. 2 (2004), pp. 297--301 [doi] [abs] .
  58. Mozyrsky, D. and Martin, I. and Hastings, M. B., Quantum-limited sensitivity of single-electron-transistor-based displacement detectors, PHYSICAL REVIEW LETTERS, vol. 92 no. 1 (2004) [doi] [abs] .
  59. Hastings, M. B., Spin-orbit scattering and time-reversal symmetry: Detection of a spin by tunneling, PHYSICAL REVIEW B, vol. 70 no. 16 (2004) [doi] [abs] .
  60. Reichhardt, C. J. O. and Hastings, M. B., Do vortices entangle?, PHYSICAL REVIEW LETTERS, vol. 92 no. 15 (2004) [doi] [abs] .
  61. Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Ratchet cellular automata, PHYSICAL REVIEW LETTERS, vol. 90 no. 24 (2003) [doi] [abs] .
  62. Hastings, M. B. and Reichhardt, C. J. O. and Reichhardt, C., Depinning by fracture in a glassy background, PHYSICAL REVIEW LETTERS, vol. 90 no. 9 (2003) [doi] [abs] .
  63. Hastings, M. B., Mean-field and anomalous behavior on a small-world network, PHYSICAL REVIEW LETTERS, vol. 91 no. 9 (2003) [doi] [abs] .
  64. Hastings, M. B. and Martin, I. and Mozyrsky, D., Quantum dynamics in nonequilibrium strongly correlated environments, PHYSICAL REVIEW B, vol. 68 no. 3 (2003) [doi] [abs] .
  65. Hastings, M. B., Random vibrational networks and the renormalization group, PHYSICAL REVIEW LETTERS, vol. 90 no. 14 (2003) [doi] [abs] .
  66. Reichhardt, C. and Olson, C. J. and Hastings, M. B., Rectification and phase locking for particles on symmetric two-dimensional periodic substrates, PHYSICAL REVIEW LETTERS, vol. 89 no. 2 (2002) [doi] [abs] .
  67. Hastings, M. B., Scale-invariant branch distribution from a soluble stochastic model, JOURNAL OF STATISTICAL PHYSICS, vol. 107 no. 5-6 (2002), pp. 1031--1042 [abs] .
  68. Hastings, M. B. and Daya, Z. A. and Ben-Naim, E. and Ecke, R. E., Entropic tightening of vibrated chains, PHYSICAL REVIEW E, vol. 66 no. 2 (2002) [doi] [abs] .
  69. Hastings, M. B., Comment on 'Large-N theory of strongly commensurate dirty bosons: absence of a transition in two dimensions', JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, vol. 35 no. 10 (2002), pp. 2519--2521 [abs] .
  70. Hastings, M. B., Exact multifractal spectra for arbitrary Laplacian random walks, PHYSICAL REVIEW LETTERS, vol. 88 no. 5 (2002) [doi] [abs] .
  71. Hastings, M. B., Dielectric breakdown model at small eta: Pole dynamics, PHYSICAL REVIEW E, vol. 65 no. 6 (2002) [doi] [abs] .
  72. Hastings, M. B., Fractal to nonfractal phase transition in the dielectric breakdown model, PHYSICAL REVIEW LETTERS, vol. 87 no. 17 (2001) [doi] [abs] .
  73. Hastings, M. B., Dirac structure, RVB, and Goldstone modes in the kagome antiferromagnet, PHYSICAL REVIEW B, vol. 63 no. 1 (2001) [abs] .
  74. Hastings, M. B. and Halsey, T. C., High-dimensional diffusive growth, EUROPHYSICS LETTERS, vol. 55 no. 5 (2001), pp. 679--685 [abs] .
  75. Hastings, M. B. and Sondhi, S. L., Breakdown of conformal invariance at strongly random critical points, PHYSICAL REVIEW B, vol. 64 no. 9 (2001) [abs] .
  76. Hastings, M. B., Growth exponents with 3.99 walkers, PHYSICAL REVIEW E, vol. 64 no. 4 (2001) [abs] .
  77. Hastings, M. B., Eigenvalue distribution in the self-dual non-hermitian ensemble, JOURNAL OF STATISTICAL PHYSICS, vol. 103 no. 5-6 (2001), pp. 903--913 [abs] .
  78. Hastings, M. B., Bose glass in a large-N commensurate dirty boson model, PHYSICAL REVIEW B, vol. 64 no. 2 (2001) [abs] .
  79. Hastings, M. B., Fermionic mapping for eigenvalue correlation functions of weakly non-Hermitian symplectic ensemble, NUCLEAR PHYSICS B, vol. 572 no. 3 (2000), pp. 535--546 [abs] .
  80. Hastings, M. B., Ground state and spin-class phase of the large-N infinite-range spin glass via supersymmetry, JOURNAL OF STATISTICAL PHYSICS, vol. 99 no. 1-2 (2000), pp. 171--217 [abs] .
  81. Hastings, M. B., Renormalization group for the large-N strongly commensurate dirty boson model, PHYSICAL REVIEW B, vol. 60 no. 13 (1999), pp. 9755--9762 [abs] .
  82. Hastings, M. B. and Levitov, L. S., Laplacian growth as one-dimensional turbulence, PHYSICA D, vol. 116 no. 1-2 (1998), pp. 244--252 [abs] .
  83. Hastings, M. B., Non-Hermitian fermion mapping for one-component plasma, JOURNAL OF STATISTICAL PHYSICS, vol. 90 no. 1-2 (1998), pp. 311--326 [abs] .
  84. Hastings, M. B., Renormalization theory of stochastic growth, PHYSICAL REVIEW E, vol. 55 no. 1 (1997), pp. 135--152 [abs] .
  85. Hastings, M. B. and Levitov, L. S., Bragg resonances for tunneling between edges of a 2D quantum hall system, PHYSICAL REVIEW LETTERS, vol. 77 no. 21 (1996), pp. 4422--4425 [abs] .
  86. HASTINGS, MB and STONE, AD and BARANGER, HU, INEQUIVALENCE OF WEAK-LOCALIZATION AND COHERENT BACKSCATTERING, PHYSICAL REVIEW B, vol. 50 no. 12 (1994), pp. 8230--8244 [abs] .
Papers Accepted
  1. S. V. Isakov, R. G. Melko, M.B. Hastings, Universal Signatures of Fractionalized Quantum Critical Points, Science (2011) .
  2. Michael Freedman, Matthew B. Hastings, Chetan Nayak, Xiao-Liang Qi, Weakly-Coupled non-Abelian Anyons in Three Dimensions, Physical Review B (2011) .
  3. Michael H. Freedman, Jan Gukelberger, Matthew B. Hastings, Simon Trebst, Matthias Troyer, Zhenghan Wang, Galois Conjugates of Topological Phases, Physical Review B (2011) .

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