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Title: Quantum mechanical evolution towards thermal equilibrium
Authors: Linden, N.
Popescu, S.
Short, A.J.
Winter, A. 
Issue Date: 4-Jun-2009
Citation: Linden, N., Popescu, S., Short, A.J., Winter, A. (2009-06-04). Quantum mechanical evolution towards thermal equilibrium. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 79 (6) : -. ScholarBank@NUS Repository.
Abstract: The circumstances under which a system reaches thermal equilibrium, and how to derive this from basic dynamical laws, has been a major question from the very beginning of thermodynamics and statistical mechanics. Despite considerable progress, it remains an open problem. Motivated by this issue, we address the more general question of equilibration. We prove, with virtually full generality, that reaching equilibrium is a universal property of quantum systems: almost any subsystem in interaction with a large enough bath will reach an equilibrium state and remain close to it for almost all times. We also prove several general results about other aspects of thermalization besides equilibration, for example, that the equilibrium state does not depend on the detailed microstate of the bath. © 2009 The American Physical Society.
Source Title: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
ISSN: 15393755
DOI: 10.1103/PhysRevE.79.061103
Appears in Collections:Staff Publications

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