Trinity College of Arts & Sciences Barthel research group,  Duke Physics
condensed matter theory and numerics

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chronological by topic


  "Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo"
T. Barthel and Q. Miao
arXiv:2407.21006, pdf
 

  "Equivalence of cost concentration and gradient vanishing for quantum circuits: An elementary proof in the Riemannian formulation"
Q. Miao and T. Barthel
arXiv:2402.07883, pdf, Quantum Sci. Technol. 9, 045039 (2024)
 

  "Driven-dissipative Bose-Einstein condensation and the upper critical dimension"
Y. Zhang and T. Barthel
arXiv:2311.13561, pdf, Phys. Rev. A 109, L021301 (2024)
 

  "Criteria for Davies irreducibility of Markovian quantum dynamics"
Y. Zhang and T. Barthel
arXiv:2310.17641, pdf, J. Phys. A: Math. Theor. 57, 115301 (2024)
 

  "Machine learning with tree tensor networks, CP rank constraints, and tensor dropout"
H. Chen and T. Barthel
arXiv:2305.19440, pdf, IEEE Trans. Pattern Anal. Mach. Intell. 1 (2024)
 

  "Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus"
Q. Miao and T. Barthel
arXiv:2304.14320, pdf, Phys. Rev. A 109, L050402 (2024)
 

  "Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states"
T. Barthel and Q. Miao
arXiv:2304.00161, pdf
 

  "Convergence and quantum advantage of Trotterized MERA for strongly-correlated systems"
Q. Miao and T. Barthel
arXiv:2303.08910, pdf
 

  "Tensor network states with low-rank tensors"
H. Chen and T. Barthel
arXiv:2205.15296, pdf
 

  "Criticality and phase classification for quadratic open quantum many-body systems"
Y. Zhang and T. Barthel
arXiv:2204.05346, pdf, Phys. Rev. Lett. 129, 120401 (2022)
 

  "Solving quasi-free and quadratic Lindblad master equations for open fermionic and bosonic systems"
T. Barthel and Y. Zhang
arXiv:2112.08344, pdf, J. Stat. Mech. 113101 (2022)
 

  "Quantum-classical eigensolver using multiscale entanglement renormalization"
Q. Miao and T. Barthel
arXiv:2108.13401, pdf, Phys. Rev. Research 5, 033141 (2023)
 

  "On the closedness and geometry of tensor network state sets"
T. Barthel, J. Lu, and G. Friesecke
arXiv:2108.00031, pdf, Lett. Math. Phys. 112, 72 (2022),
Special Issue "Mathematical Physics and Numerical Simulation of Many-Particle Systems" Lett. Math. Phys. 2022
 

  "Superoperator structures and no-go theorems for dissipative quantum phase transitions"
T. Barthel and Y. Zhang
arXiv:2012.05505, pdf, Phys. Rev. A 105, 052224 (2022)
 

  "Eigenstate entanglement scaling for critical interacting spin chains"
Q. Miao and T. Barthel
arXiv:2010.07265, pdf, Quantum 6, 642 (2022)
 

  "Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases"
M. Binder and T. Barthel
arXiv:2005.03643, pdf, Phys. Rev. B 102, 014447 (2020)
 

  "Scaling functions for eigenstate entanglement crossovers in harmonic lattices"
T. Barthel and Q. Miao
arXiv:1912.10045, pdf, Phys. Rev. A 104, 022414 (2021)
 

  "Eigenstate entanglement: Crossover from the ground state to volume laws"
Q. Miao and T. Barthel
arXiv:1905.07760, pdf, Phys. Rev. Lett. 127, 040603 (2021)
 

  "The matrix product approximation for the dynamic cavity method"
T. Barthel
arXiv:1904.03312, pdf, J. Stat. Mech. 013217 (2020)
 

  "Optimized Lie-Trotter-Suzuki decompositions for two and three non-commuting operators"
T. Barthel and Y. Zhang
arXiv:1901.04974, pdf, Ann. Phys. 418, 168165 (2020)
 

  "Infinite boundary conditions for response functions and limit cycles in iDMRG, demonstrated for bilinear-biquadratic spin-1 chains"
M. Binder and T. Barthel
arXiv:1804.09163, pdf, Phys. Rev. B 98, 235114 (2018)
 

  "Fundamental limitations for measurements in quantum many-body systems"
T. Barthel and J. Lu
arXiv:1802.04378, pdf, Phys. Rev. Lett. 121, 080406 (2018)
 

  "Typical one-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers"
T. Barthel
arXiv:1708.09349, pdf
 

  "Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles"
M. Binder and T. Barthel
arXiv:1701.03872, pdf, Phys. Rev. B 95, 195148 (2017)
 

  "Matrix product purifications for canonical ensembles and quantum number distributions"
T. Barthel
arXiv:1607.01696, pdf, Phys. Rev. B 94, 115157 (2016)
 

  "Finite-temperature effects on interacting bosonic one-dimensional systems in disordered lattices"
L. Gori, T. Barthel, A. Kumar, E. Lucioni, L. Tanzi, M. Inguscio, G. Modugno, T. Giamarchi, C. D'Errico, and G. Roux
arXiv:1512.04238, pdf, Phys. Rev. A 93, 033650 (2016)
 

  "A matrix product algorithm for stochastic dynamics on networks, applied to non-equilibrium Glauber dynamics"
T. Barthel, C. De Bacco, and S. Franz
arXiv:1508.03295, pdf, Phys. Rev. E 97, 010104(R) (2018)
 

  "Phase diagram of an extended quantum dimer model on the hexagonal lattice"
T. M. Schlittler, T. Barthel, G. Misguich, J. Vidal, and R. Mosseri
arXiv:1507.04643, pdf, Phys. Rev. Lett. 115, 217202 (2015)
 

  "Phase diagram of the hexagonal lattice quantum dimer model: Order parameters, ground-state energy, and gaps"
T. M. Schlittler, R. Mosseri, and T. Barthel
arXiv:1501.02242, pdf, Phys. Rev. B 96, 195142 (2017)
 

  "Minimally entangled typical thermal states versus matrix product purifications for the simulation of equilibrium states and time evolution"
M. Binder and T. Barthel
arXiv:1411.3033, pdf, Phys. Rev. B 92, 125119 (2015)
 

  "Bound states and entanglement in the excited states of quantum spin chains"
J. Mölter, T. Barthel, U. Schollwöck, and V. Alba
arXiv:1407.0066, pdf, J. Stat. Mech. P10029 (2014),
Special Issue "Quantum Entanglement in Condensed Matter Physics" J. Stat. Mech. 2014
 

  "Multispinon continua at zero and finite temperature in a near-ideal Heisenberg chain"
B. Lake, D. A. Tennant, J.-S. Caux, T. Barthel, U. Schollwöck, S. E. Nagler, and C. D. Frost
arXiv:1307.4071, pdf, Phys. Rev. Lett. 111, 137205 (2013)
 

  "Domain-wall melting in ultracold-boson systems with hole and spin-flip defects"
J. C. Halimeh, A. Wöllert, I. P. McCulloch, U. Schollwöck, and T. Barthel
arXiv:1307.0513, pdf, Phys. Rev. A 89, 063603 (2014)
 

  "Algebraic versus exponential decoherence in dissipative many-particle systems"
Z. Cai and T. Barthel
arXiv:1304.6890, pdf, Phys. Rev. Lett. 111, 150403 (2013),
covered by Phys.org "Quantum particles find safety in numbers" phys.org, 10/16/2013
 

  "Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes"
T. Barthel
arXiv:1301.2246, pdf, New J. Phys. 15, 073010 (2013)
 

  "Scaling of the thermal spectral function for quantum critical bosons in one dimension"
T. Barthel, U. Schollwöck, and S. Sachdev
arXiv:1212.3570, pdf
 

  "Quasi-locality and efficient simulation of Markovian quantum dynamics"
T. Barthel and M. Kliesch
arXiv:1111.4210, pdf, Phys. Rev. Lett. 108, 230504 (2012)
 

  "Solving condensed matter ground state problems by semidefinite relaxations"
T. Barthel and R. Hübener
arXiv:1106.4966, pdf, Phys. Rev. Lett. 108, 200404 (2012)
 

  "Dissipative quantum Church-Turing theorem"
M. Kliesch, T. Barthel, C. Gogolin, M. Kastoryano, and J. Eisert
arXiv:1105.3986, pdf, Phys. Rev. Lett. 107, 120501 (2011),
see also D. Browne "Viewpoint: Quantum simulation hits the open road" Physics 4, 72 (2011)
 

  "Real-space renormalization yields finitely correlated states"
T. Barthel, M. Kliesch, and J. Eisert
arXiv:1003.2319, pdf, Phys. Rev. Lett. 105, 010502 (2010)
 

  "Contraction of fermionic operator circuits and the simulation of strongly correlated fermions"
T. Barthel, C. Pineda, and J. Eisert
arXiv:0907.3689, pdf, Phys. Rev. A 80, 042333 (2009),
also in Virtual Journal of Nanoscale Science and Technology 20, Issue 20 (2009),
and in Virtual Journal of Quantum Information 9, Issue 11 (2009)
 

  "Unitary circuits for strongly correlated fermions"
C. Pineda, T. Barthel, and J. Eisert
arXiv:0905.0669, pdf, Phys. Rev. A 81, 050303(R) (2010)
 

  "Spectral functions in one-dimensional quantum systems at finite temperature using the density matrix renormalization group"
T. Barthel, U. Schollwöck, and S. R. White
arXiv:0901.2342, pdf, Phys. Rev. B 79, 245101 (2009)
 

  "Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices"
T. Barthel, C. Kasztelan, I. P. McCulloch, and U. Schollwöck
arXiv:0809.5141, pdf, Phys. Rev. A 79, 053627 (2009)
 

  "Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases"
G. Roux, T. Barthel, I. P. McCulloch, C. Kollath, U. Schollwöck, and T. Giamarchi
arXiv:0802.3774, pdf, Phys. Rev. A 78, 023628 (2008)
 

  "Dephasing and the steady state in quantum many-particle systems"
T. Barthel and U. Schollwöck
arXiv:0711.4896, pdf, Phys. Rev. Lett. 100, 100601 (2008),
also in Virtual Journal of Quantum Information 8, Issue 3 (2008)
 

  "Entanglement entropy in collective models"
J. Vidal, S. Dusuel, and T. Barthel
arXiv:cond-mat/0610833, pdf, J. Stat. Mech. P01015 (2006)
 

  "Entanglement entropy beyond the free case"
T. Barthel, S. Dusuel, and J. Vidal
arXiv:cond-mat/0606436, pdf, Phys. Rev. Lett. 97, 220402 (2006),
also in Virtual Journal of Nanoscale Science and Technology 14, Issue 24 (2006)
 

  "Entanglement scaling in critical two-dimensional fermionic and bosonic systems"
T. Barthel, M.-C. Chung, and U. Schollwöck
arXiv:cond-mat/0602077, pdf, Phys. Rev. A 74, 022329 (2006)
 

  "Entanglement and boundary critical phenomena"
H.-Q. Zhou, T. Barthel, J. O. Fjærestad, and U. Schollwöck
arXiv:cond-mat/0511732, pdf, Phys. Rev. A 74, 050305(R) (2006),
also in Virtual Journal of Nanoscale Science and Technology 14, Issue 23 (2006)
 


have a nice day!