Thomas Barthel

Education

• Ph.D. Rheinisch-Westfalische Technische Hochshule Aachen (Germany), 2009

Positions

• Charles H. Townes Assistant Professor of Physics
• Assistant Professor of Physics
• Member of the Duke Quantum Center

Courses Taught

• PHYSICS 624: Open Quantum Systems
• PHYSICS 590: Selected Topics in Theoretical Physics
• PHYSICS 464D: Quantum Mechanics I
• MATH 690-70: Topics in Applied Mathematics
• ECE 624: Open Quantum Systems

Publications

• Barthel T, Miao Q. Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo. Physical Review B. 2025 Jan 15;111(4).
• Miao Q, Barthel T. Convergence and quantum advantage of Trotterized MERA for strongly-correlated systems. Quantum. 2025 Jan 1;9.
• Miao Q, Wang T, Brown K, Barthel T, Cetina M. Probing entanglement scaling across a quantum phase transition on a quantum computer. arXiv:241218602. 2024 Dec 24;
• Barthel T, Miao Q. Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states. Communications in Mathematical Physics. 2024 Dec 10;
• Barthel T, Miao Q. Scaling of contraction costs for entanglement renormalization algorithms including tensor Trotterization and variational Monte Carlo. Physical Review B: Condensed Matter and Materials Physics. 2024 Dec 6;
• Chen H, Barthel T. Machine Learning With Tree Tensor Networks, CP Rank Constraints, and Tensor Dropout. IEEE transactions on pattern analysis and machine intelligence. 2024 Dec;46(12):7825u201332.
• Crotti S, Barthel T, Braunstein A. Nonequilibrium steady-state dynamics of Markov processes on graphs. arXiv:241119100. 2024 Nov 28;
• Miao Q, Barthel T. Equivalence of cost concentration and gradient vanishing for quantum circuits: an elementary proof in the Riemannian formulation. Quantum Science and Technology. 2024 Oct 1;9(4).
• Miao Q, Barthel T. Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus. Physical Review A. 2024 May 1;109(5).
• Zhang Y, Barthel T. Criteria for Davies irreducibility of Markovian quantum dynamics. Journal of Physics A: Mathematical and Theoretical. 2024 Mar 15;57(11).
• Zhang Y, Barthel T. Driven-dissipative Bose-Einstein condensation and the upper critical dimension. Physical Review A. 2024 Feb 1;109(2).
• Miao Q, Barthel T. Quantum-classical eigensolver using multiscale entanglement renormalization. Physical Review Research. 2023 Jul 1;5(3).
• Miao Q, Barthel T. Convergence and quantum advantage of Trotterized MERA for strongly-correlated systems. arXiv:230308910. 2023 Mar 15;
• 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. 2022 Nov 1;2022(11).
• Zhang Y, Barthel T. Criticality and Phase Classification for Quadratic Open Quantum Many-Body Systems. Physical Review Letters. 2022 Sep 16;129(12).
• Barthel T, Lu J, Friesecke G. On the closedness and geometry of tensor network state sets. Letters in Mathematical Physics. 2022 Aug 1;112(4).
• Chen H, Barthel T. Tensor Network States with Low-Rank Tensors. arXiv:220515296. 2022 May 30;
• Barthel T, Zhang Y. Superoperator structures and no-go theorems for dissipative quantum phase transitions. Physical Review A. 2022 May 1;105(5).
• Miao Q, Barthel T. Eigenstate entanglement scaling for critical interacting spin chains. Quantum. 2022 Jan 1;6:642.
• Barthel T, Miao Q. Scaling functions for eigenstate entanglement crossovers in harmonic lattices. Physical Review A. 2021 Aug 1;104(2).
• Miao Q, Barthel T. Eigenstate Entanglement: Crossover from the Ground State to Volume Laws. Physical Review Letters. 2021 Jul 23;127(4).
• Barthel T, Zhang Y. Optimized Lieu2013Trotteru2013Suzuki decompositions for two and three non-commuting terms. Annals of Physics. 2020 Jul 1;418.
• Binder M, Barthel T. Low-energy physics of isotropic spin-1 chains in the critical and Haldane phases. Physical Review B. 2020 Jul 1;102(1).
• Barthel T. The matrix product approximation for the dynamic cavity method. Journal of Statistical Mechanics: Theory and Experiment. 2020 Jan 1;2020(1).
• 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. 2018 Dec 7;98(23).
• Barthel T, Lu J. Fundamental Limitations for Measurements in Quantum Many-Body Systems. Physical Review Letters. 2018 Aug 24;121(8).
• Barthel T, De Bacco C, Franz S. Matrix product algorithm for stochastic dynamics on networks applied to nonequilibrium Glauber dynamics. Physical Review E. 2018 Jan 29;97(1).
• 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. 2017 Nov 21;96(19).
• Barthel T. One-dimensional quantum systems at finite temperatures can be simulated efficiently on classical computers. arXiv:170809349. 2017 Aug 30;
• Binder M, Barthel T. Symmetric minimally entangled typical thermal states for canonical and grand-canonical ensembles. Physical Review B. 2017 May 22;95(19).
• Barthel T. Matrix product purifications for canonical ensembles and quantum number distributions. Physical Review B. 2016 Sep 26;94(11).
• Gori L, Barthel T, Kumar A, Lucioni E, Tanzi L, Inguscio M, et al. Finite-temperature effects on interacting bosonic one-dimensional systems in disordered lattices. Physical Review A. 2016 Mar 29;93(3).
• 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. 2015 Nov 18;115(21).
• 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. 2015 Sep 10;92(12).
• Mu00f6lter J, Barthel T, Schollwu00f6ck U, Alba V. Bound states and entanglement in the excited states of quantum spin chains. Journal of Statistical Mechanics: Theory and Experiment. 2014 Oct 1;2014(10).
• Halimeh JC, Wu00f6llert A, McCulloch I, Schollwu00f6ck U, Barthel T. Domain-wall melting in ultracold-boson systems with hole and spin-flip defects. Physical Review A - Atomic, Molecular, and Optical Physics. 2014 Jun 4;89(6).
• Cai Z, Barthel T. Algebraic versus exponential decoherence in dissipative many-particle systems. Physical Review Letters. 2013 Oct 11;111(15).
• Lake B, Tennant DA, Caux JS, Barthel T, Schollwu00f6ck U, Nagler SE, et al. Multispinon continua at zero and finite temperature in a near-ideal heisenberg Chain. Physical Review Letters. 2013 Sep 26;111(13).
• Barthel T. Precise evaluation of thermal response functions by optimized density matrix renormalization group schemes. New Journal of Physics. 2013 Jul 1;15.
• 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. 2012 Sep 13;109(11).
• Barthel T, Kliesch M. Quasilocality and efficient simulation of Markovian quantum dynamics. Physical Review Letters. 2012 Jun 5;108(23).
• Barthel T, Hu00fcbener R. Solving condensed-matter ground-state problems by semidefinite relaxations. Physical Review Letters. 2012 May 17;108(20).
• Kliesch M, Barthel T, Gogolin C, Kastoryano M, Eisert J. Dissipative quantum Church-Turing theorem. Physical Review Letters. 2011 Sep 12;107(12).
• Barthel T, Kliesch M, Eisert J. Real-space renormalization yields finite correlations. Physical Review Letters. 2010 Jul 2;105(1).
• Pineda C, Barthel T, Eisert J. Unitary circuits for strongly correlated fermions. Physical Review A - Atomic, Molecular, and Optical Physics. 2010 May 28;81(5).
• 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. 2009 Oct 30;80(4).
• Barthel T, Schollwu00f6ck 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. 2009 Jun 1;79(24).
• Barthel T, Kasztelan C, McCulloch IP, Schollwu00f6ck U. Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices. Physical Review A - Atomic, Molecular, and Optical Physics. 2009 May 1;79(5).
• Roux G, Barthel T, McCulloch IP, Kollath C, Schollwu00f6ck U, Giamarchi T. Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases. Physical Review A - Atomic, Molecular, and Optical Physics. 2008 Aug 22;78(2).
• Barthel T, Schollwu00f6ck U. Dephasing and the steady state in quantum many-particle systems. Physical Review Letters. 2008 Mar 12;100(10).
• Vidal J, Dusuel S, Barthel T. Entanglement entropy in collective models. Journal of Statistical Mechanics: Theory and Experiment. 2007 Jan 1;(1).
• Zhou HQ, Barthel T, Fju00e6restad JO, Schollwu00f6ck U. Entanglement and boundary critical phenomena. Physical Review A - Atomic, Molecular, and Optical Physics. 2006 Nov 27;74(5).
• Barthel T, Chung MC, Schollwu00f6ck U. Entanglement scaling in critical two-dimensional fermionic and bosonic systems. Physical Review A - Atomic, Molecular, and Optical Physics. 2006 Sep 20;74(2).
• Barthel T, Dusuel S, Vidal J. Entanglement entropy beyond the free case. Physical Review Letters. 2006 Jan 1;97(22).