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Papers Published
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Zhang, Y; Barthel, T, Criteria for Davies irreducibility of Markovian quantum dynamics,
Journal of Physics A: Mathematical and Theoretical, vol. 57 no. 11
(March, 2024) [doi] [abs]
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Zhang, Y; Barthel, T, Driven-dissipative Bose-Einstein condensation and the upper critical dimension,
Physical Review A, vol. 109 no. 2
(February, 2024) [doi] [abs]
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Zhang, Y; Barthel, T, Driven-dissipative Bose-Einstein condensation and the upper critical dimension,
arXiv:2311.13561
(November, 2023) [arXiv.2311.13561], [doi] [abs]
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Zhang, Y; Barthel, T, Criteria for Davies irreducibility of Markovian quantum dynamics,
arXiv:2310.17641
(October, 2023) [arXiv.2310.17641], [doi] [abs]
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Miao, Q; Barthel, T, Quantum-classical eigensolver using multiscale entanglement renormalization,
Physical Review Research, vol. 5 no. 3
(July, 2023) [2108.13401], [doi] [abs]
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Chen, H; Barthel, T, Machine learning with tree tensor networks, CP rank constraints, and tensor dropout,
arXiv:2305.19440
(May, 2023) [arXiv.2305.19440], [doi] [abs]
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Miao, Q; Barthel, T, Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus,
arXiv:2304.14320
(April, 2023) [arXiv.2304.14320], [doi] [abs]
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Barthel, T; Miao, Q, Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states,
arXiv:2304.00161
(March, 2023) [arXiv.2304.00161], [doi] [abs]
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Miao, Q; Barthel, T, Convergence and quantum advantage of Trotterized MERA for strongly-correlated systems,
arXiv:2303.08910
(March, 2023) [arXiv.2303.08910], [doi] [abs]
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Barthel, T; Zhang, Y, Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2022 no. 11
(November, 2022),
pp. 113101 [ac8e5c], [doi] [abs]
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Zhang, Y; Barthel, T, Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems,
Physical Review Letters, vol. 129 no. 12
(September, 2022),
pp. 120401 [doi] [abs]
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Barthel, T; Lu, J; Friesecke, G, On the closedness and geometry of tensor network state sets,
Letters in Mathematical Physics, vol. 112 no. 4
(August, 2022) [doi] [abs]
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Chen, H; Barthel, T, Tensor Network States with Low-Rank Tensors,
arXiv:2205.15296
(May, 2022) [2205.15296], [doi] [abs]
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Barthel, T; Zhang, Y, Superoperator structures and no-go theorems for dissipative quantum phase transitions,
Physical Review A, vol. 105 no. 5
(May, 2022),
pp. 052224 [PhysRevA.105.052224], [doi] [abs]
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Miao, Q; Barthel, T, Eigenstate entanglement scaling for critical interacting spin chains,
Quantum, vol. 6
(January, 2022),
pp. 642 [doi] [abs]
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T. Barthel, J. Lu, and G. Friesecke, On the closedness and geometry of tensor network state sets,
Lett. Math. Phys., vol. 72
(2022),
pp. 112 [s11005-022-01552-z], [doi] [abs]
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T. Barthel and Q. Miao, Scaling functions for eigenstate entanglement crossovers in harmonic lattices,
Phys. Rev. A 104, vol. 104
(September, 2021),
pp. 022414 [PhysRevA.104.022414], [doi] .
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Barthel, T; Miao, Q, Scaling functions for eigenstate entanglement crossovers in harmonic lattices,
Physical Review A, vol. 104 no. 2
(August, 2021) [1912.10045], [doi] [abs]
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Q. Miao and T. Barthel, Eigenstate entanglement: Crossover from the ground state to volume laws,
Phys. Rev. Lett., vol. 127
(July, 2021),
pp. 040603 [PhysRevLett.127.040603], [doi] .
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Miao, Q; Barthel, T, Eigenstate Entanglement: Crossover from the Ground State to Volume Laws,
Physical Review Letters, vol. 127 no. 4
(July, 2021) [1905.07760], [doi] [abs]
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Miao, Q; Barthel, T, Eigenstate entanglement scaling for critical interacting spin chains,
arXiv:2010.07265
(October, 2020) [abs]
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Barthel, T; Zhang, Y, Optimized Lie–Trotter–Suzuki decompositions for two and three non-commuting terms,
Annals of Physics, vol. 418
(July, 2020),
pp. 168165-168165, Elsevier Masson [1901.04974], [doi] [abs]
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Binder, M; Barthel, T, Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases,
Physical Review B, vol. 102 no. 1
(July, 2020) [doi] [abs]
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Barthel, T, The matrix product approximation for the dynamic cavity method,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2020 no. 1
(January, 2020),
pp. 013217-013217, IOP Publishing [1904.03312], [doi] [abs]
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Binder, M; Barthel, T, Infinite boundary conditions for response functions and limit cycles within the infinite-system density matrix renormalization group approach demonstrated for bilinear-biquadratic spin-1 chains,
Physical Review B, vol. 98 no. 23
(December, 2018), American Physical Society (APS) [doi] [abs]
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Barthel, T; Lu, J, Fundamental Limitations for Measurements in Quantum Many-Body Systems,
Physical Review Letters, vol. 121 no. 8
(August, 2018),
pp. 080406 [doi] [abs]
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Barthel, T; De Bacco, C; Franz, S, Matrix product algorithm for stochastic dynamics on networks applied to nonequilibrium Glauber dynamics,
Physical Review E, vol. 97 no. 1
(January, 2018),
pp. 010104 [doi] [abs]
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Schlittler, TM; Mosseri, R; Barthel, T, Phase diagram of the hexagonal lattice quantum dimer model: Order parameters, ground-state energy, and gaps,
Physical Review B, vol. 96 no. 19
(November, 2017),
pp. 195142-195142, American Physical Society (APS) [doi] [abs]
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Barthel, T, One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers,
arXiv:1708.09349
(August, 2017) [abs]
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Binder, M; Barthel, T, Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles,
Physical Review B, vol. 95 no. 19
(May, 2017), American Physical Society (APS) [doi] [abs]
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Barthel, T, Matrix product purifications for canonical ensembles and quantum number distributions,
Physical Review B, vol. 94 no. 11
(September, 2016), American Physical Society (APS) [doi] [abs]
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Gori, L; Barthel, T; Kumar, A; Lucioni, E; Tanzi, L; Inguscio, M; Modugno, G; Giamarchi, T; D'Errico, C; Roux, G, Finite-temperature effects on interacting bosonic one-dimensional systems in disordered lattices,
Physical Review A, vol. 93 no. 3
(March, 2016), American Physical Society (APS) [doi] [abs]
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Schlittler, T; Barthel, T; Misguich, G; Vidal, J; Mosseri, R, Phase diagram of an extended quantum dimer model on the hexagonal lattice,
Physical Review Letters, vol. 115 no. 21
(November, 2015),
pp. 217202 [doi] [abs]
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Binder, M; Barthel, T, Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution,
Physical Review B - Condensed Matter and Materials Physics, vol. 92 no. 12
(September, 2015), American Physical Society (APS) [doi] [abs]
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Mölter, J; Barthel, T; Schollwöck, U; Alba, V, Bound states and entanglement in the excited states of quantum spin chains,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2014 no. 10
(October, 2014),
pp. P10029-P10029, IOP Publishing [doi] [abs]
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Halimeh, JC; Wöllert, A; McCulloch, I; Schollwöck, U; Barthel, T, Domain-wall melting in ultracold-boson systems with hole and spin-flip defects,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 89 no. 6
(June, 2014), American Physical Society (APS) [doi] [abs]
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Cai, Z; Barthel, T, Algebraic versus exponential decoherence in dissipative many-particle systems,
Physical Review Letters, vol. 111 no. 15
(October, 2013),
pp. 150403 [doi] [abs]
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Lake, B; Tennant, DA; Caux, JS; Barthel, T; Schollwöck, U; Nagler, SE; Frost, CD, Multispinon continua at zero and finite temperature in a near-ideal heisenberg Chain,
Physical Review Letters, vol. 111 no. 13
(September, 2013),
pp. 137205 [doi] [abs]
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Barthel, T, Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes,
New Journal of Physics, vol. 15 no. 7
(July, 2013),
pp. 073010-073010, IOP Publishing [doi] [abs]
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Kliesch, M; Barthel, T; Gogolin, C; Kastoryano, M; Eisert, J, Erratum: Dissipative quantum church-turing theorem (Physical Review Letters (2011) 107 (120501)),
Physical Review Letters, vol. 109 no. 11
(September, 2012), American Physical Society (APS) [doi] .
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Barthel, T; Kliesch, M, Quasilocality and efficient simulation of Markovian quantum dynamics,
Physical Review Letters, vol. 108 no. 23
(June, 2012),
pp. 230504 [doi] [abs]
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Barthel, T; Hübener, R, Solving condensed-matter ground-state problems by semidefinite relaxations,
Physical Review Letters, vol. 108 no. 20
(May, 2012),
pp. 200404 [doi] [abs]
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Kliesch, M; Barthel, T; Gogolin, C; Kastoryano, M; Eisert, J, Dissipative quantum Church-Turing theorem,
Physical Review Letters, vol. 107 no. 12
(September, 2011),
pp. 120501 [doi] [abs]
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Barthel, T; Kliesch, M; Eisert, J, Real-space renormalization yields finite correlations.,
Physical review letters, vol. 105 no. 1
(July, 2010),
pp. 010502, American Physical Society (APS) [doi] [abs]
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Pineda, C; Barthel, T; Eisert, J, Unitary circuits for strongly correlated fermions,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 81 no. 5
(May, 2010), American Physical Society (APS) [doi] [abs]
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Barthel, T; Pineda, C; Eisert, J, Contraction of fermionic operator circuits and the simulation of strongly correlated fermions,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 80 no. 4
(October, 2009), American Physical Society (APS) [doi] [abs]
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Barthel, T; Schollwöck, U; White, SR, Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group,
Physical Review B - Condensed Matter and Materials Physics, vol. 79 no. 24
(June, 2009), American Physical Society (APS) [doi] [abs]
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Barthel, T; Kasztelan, C; McCulloch, IP; Schollwöck, U, Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79 no. 5
(May, 2009), American Physical Society (APS) [doi] [abs]
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Roux, G; Barthel, T; McCulloch, IP; Kollath, C; Schollwöck, U; Giamarchi, T, Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 78 no. 2
(August, 2008), American Physical Society (APS) [doi] [abs]
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Barthel, T; Schollwöck, U, Dephasing and the steady state in quantum many-particle systems,
Physical Review Letters, vol. 100 no. 10
(March, 2008),
pp. 100601 [doi] [abs]
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Vidal, J; Dusuel, S; Barthel, T, Entanglement entropy in collective models,
Journal of Statistical Mechanics: Theory and Experiment, vol. 2007 no. 1
(January, 2007),
pp. P01015-P01015, IOP Publishing [doi] [abs]
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Zhou, HQ; Barthel, T; Fjærestad, JO; Schollwöck, U, Entanglement and boundary critical phenomena,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 74 no. 5
(November, 2006), American Physical Society (APS) [doi] [abs]
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Barthel, T; Chung, MC; Schollwöck, U, Entanglement scaling in critical two-dimensional fermionic and bosonic systems,
Physical Review A - Atomic, Molecular, and Optical Physics, vol. 74 no. 2
(September, 2006), American Physical Society (APS) [doi] [abs]
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Barthel, T; Dusuel, S; Vidal, J, Entanglement entropy beyond the free case,
Physical Review Letters, vol. 97 no. 22
(January, 2006),
pp. 220402 [doi] [abs]
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Papers Accepted
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Q. Miao and T. Barthel, Quantum-classical eigensolver using multiscale entanglement renormalization,
Phys. Rev. Res., vol. 5
(2023),
pp. 033141 [PhysRevResearch.5.033141], [doi] [abs]
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Papers Submitted
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T. Barthel and Y. Zhang, Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems,
arXiv:2112.08344
(December, 2021) [2112.08344] .
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T. Barthel, J. Lu, and G. Friesecke, On the closedness and geometry of tensor network state sets,
arXiv:2108.00031
(August, 2021) [2108.00031] .
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