
Barthel research group, Duke Physics
condensed matter theory and numerics

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)



"Drivendissipative BoseEinstein 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 stronglycorrelated systems"
Q. Miao and T. Barthel
arXiv:2303.08910,
pdf



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



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



"Solving quasifree 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)



"Quantumclassical 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 ManyParticle Systems" Lett. Math. Phys. 2022



"Superoperator structures and nogo 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)



"Lowenergy physics of isotropic spin1 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 LieTrotterSuzuki decompositions for two and three noncommuting 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 bilinearbiquadratic spin1 chains"
M. Binder and T. Barthel
arXiv:1804.09163,
pdf, Phys. Rev. B 98, 235114 (2018)



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



"Typical onedimensional 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 grandcanonical 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)



"Finitetemperature effects on interacting bosonic onedimensional 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 nonequilibrium 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, groundstate 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 nearideal 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)



"Domainwall melting in ultracoldboson systems with hole and spinflip 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 manyparticle 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



"Quasilocality 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 ChurchTuring 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)



"Realspace 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 onedimensional 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 manyparticle 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 BoseHubbard model and localization in onedimensional 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 manyparticle 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:condmat/0610833,
pdf, J. Stat. Mech. P01015 (2006)



"Entanglement entropy beyond the free case"
T. Barthel, S. Dusuel, and J. Vidal
arXiv:condmat/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 twodimensional fermionic and bosonic systems"
T. Barthel, M.C. Chung, and U. Schollwöck
arXiv:condmat/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:condmat/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!
