Thermal states as convex combinations of matrix product states
Copyright policy )Thermal states as convex combinations of matrix product states
We study thermal states of strongly interacting quantum spin chains and prove that those can be represented in terms of convex combinations of matrix product states. Apart from revealing new features of the entanglement structure of Gibbs states our results provide a theoretical justification for the use of White's algorithm of minimally entangled typical thermal states. Furthermore, we shed new light on time dependent matrix product state algorithms which yield hydrodynamical descriptions of the underlying dynamics.
v3: 10 pages, 2 figures, final published version
- California Institute of Technology United States
- Universität Wien Austria
- Institute for Theoretical Physics ETH Zürich Switzerland
- Universität Wien Austria
- ETH Zurich Switzerland
Quantum Physics, INFORMATION, Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el), 103025 Quantenmechanik, 500, FOS: Physical sciences, 530, RENORMALIZATION-GROUP, Condensed Matter - Strongly Correlated Electrons, quant-ph, Physics and Astronomy, 103025 Quantum mechanics, ALGORITHM, cond-mat.str-el, cond-mat.stat-mech, 103029 Statistical physics, 103029 Statistische Physik, Quantum Physics (quant-ph), QUANTUM, ENTANGLEMENT, Condensed Matter - Statistical Mechanics
Quantum Physics, INFORMATION, Statistical Mechanics (cond-mat.stat-mech), Strongly Correlated Electrons (cond-mat.str-el), 103025 Quantenmechanik, 500, FOS: Physical sciences, 530, RENORMALIZATION-GROUP, Condensed Matter - Strongly Correlated Electrons, quant-ph, Physics and Astronomy, 103025 Quantum mechanics, ALGORITHM, cond-mat.str-el, cond-mat.stat-mech, 103029 Statistical physics, 103029 Statistische Physik, Quantum Physics (quant-ph), QUANTUM, ENTANGLEMENT, Condensed Matter - Statistical Mechanics
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