Barthel research group,  Duke Physics condensed matter theory and numerics     Welcome         Publications         Research         Team         Talks & Teaching         CV     chronological by topic   "Probing entanglement scaling across a quantum phase transition on a quantum computer" Q. Miao, T. Wang, K. R. Brown, T. Barthel, and M. Cetina arXiv:2412.18602, pdf     "Nonequilibrium steady-state dynamics of Markov processes on graphs" S. Crotti, T. Barthel, and A. Braunstein arXiv:2411.19100, pdf     "Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo" T. Barthel and Q. Miao arXiv:2407.21006, pdf, Phys. Rev. B 111, 045104 (2025)     "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. 46, 7825 (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, Quantum 9, 1631 (2025)     "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!