Thomas Barthel
Physics
Charles H. Townes Assistant Professor of Physics
Research Interests
• Strongly correlated quantum many-particle systems
• Nonequilibrium phenomena, open quantum systems, and transport
• Information theoretic aspects like entanglement
• Integrable models
• Tensor network state methods (DMRG, MPS, MERA, PEPS)
• Quantum computation and simulation for the investigation of quantum matter
• Ultracold atoms in optical lattices
• Stochastic dynamics in networks
Bio
Theoretical and Numerical Quantum Many-Body Physics:
- rn
- Strongly correlated quantum matter
- Phase transitions and criticality
- Nonequilibrium phenomena, open driven-dissipative quantum systems, and transport
- Information theoretic aspects of quantum many-body systems
- Integrable models
- Tensor network state methods (MPS, TTNS, PEPS, MERA)
- Quantum computation and simulation for the investigation of quantum matter
- Ultracold atoms in optical lattices
- Sotchastic dynamics in networks, epidemic outbreaks
rn
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
- PHYSICS 142L9D: General Physics II (Discussion)
- MATH 690-70: Topics in Applied Mathematics
- ECE 624: Open Quantum Systems
Publications
- 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).
- 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 Jan 1;
- Zhang Y, Barthel T. Driven-dissipative Bose-Einstein condensation and the upper critical dimension. arXiv:231113561. 2023 Nov 22;
- Zhang Y, Barthel T. Criteria for Davies irreducibility of Markovian quantum dynamics. arXiv:231017641. 2023 Oct 26;
- Miao Q, Barthel T. Quantum-classical eigensolver using multiscale entanglement renormalization. Physical Review Research. 2023 Jul 1;5(3).
- Chen H, Barthel T. Machine learning with tree tensor networks, CP rank constraints, and tensor dropout. arXiv:230519440. 2023 May 30;
- Miao Q, Barthel T. Isometric tensor network optimization for extensive Hamiltonians is free of barren plateaus. arXiv:230414320. 2023 Apr 27;
- Barthel T, Miao Q. Absence of barren plateaus and scaling of gradients in the energy optimization of isometric tensor network states. arXiv:230400161. 2023 Mar 31;
- 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).
- Miao Q, Barthel T. Eigenstate entanglement scaling for critical interacting spin chains. arXiv:201007265. 2020 Oct 14;
- 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, Zhang Y. Optimized Lie–Trotter–Suzuki decompositions for two and three non-commuting terms. Annals of Physics. 2020 Jul 1;418.
- 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).
- 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. 2014 Oct 1;2014(10).
- 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. 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, Schollwöck 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, Hübener 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, 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. 2009 Jun 1;79(24).
- 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. 2009 May 1;79(5).
- 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. 2008 Aug 22;78(2).
- Barthel T, Schollwöck 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, Fjærestad JO, Schollwöck U. Entanglement and boundary critical phenomena. Physical Review A - Atomic, Molecular, and Optical Physics. 2006 Nov 27;74(5).
- Barthel T, Chung MC, Schollwöck 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).