Equilibration time scales in closed many-body quantum systems

Henrik  Wilming; Thiago de Oliveira; Tony Short; Jens Eisert

doi:10.1088/1367-2630/aab03b

Equilibration time scales in closed many-body quantum systems

Henrik Wilming
, Thiago de Oliveira
, Tony Short
, Jens Eisert

School of Physics

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

52 Citations (Scopus)

399 Downloads (Pure)

Abstract

For a quantum system to be captured by a stationary statistical ensemble, as is common in thermodynamics and statistical mechanics, it is necessary that it reaches some apparently stationary state in the first place. In this book chapter, we discuss the problem of equilibration and specifically provide insights into how long it takes to reach equilibrium in closed quantum systems. We first briefly discuss the connection of this problem with recent experiments and forthcoming quantum simulators. Then we provide a comprehensive discussion of equilibration from a heuristic point of view, with a focus on providing an intuitive understanding and connecting the problem with general properties of interacting many-body systems. Finally, we provide a concise review of the rigorous results on equilibration times that are known in the literature.

Original language	English
Title of host publication	Thermodynamics in the quantum regime - Recent Progress and Outlook
Editors	F Binder, L A Correa, C Gogolin, J Anders, G Adesso
Publisher	Springer Berlin Heidelberg
Number of pages	25
Volume	20
DOIs	https://doi.org/10.1088/1367-2630/aab03b
Publication status	E-pub ahead of print - 29 Mar 2018

Research Groups and Themes

Bristol Quantum Information Institute

Keywords

equilibration
unitary dynamics
quantum systems
foundations of statistical mechanics

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Wilming, H., de Oliveira, T., Short, T., & Eisert, J. (2018). Equilibration time scales in closed many-body quantum systems. In F. Binder, L. A. Correa, C. Gogolin, J. Anders, & G. Adesso (Eds.), Thermodynamics in the quantum regime - Recent Progress and Outlook (Vol. 20). Springer Berlin Heidelberg. Advance online publication. https://doi.org/10.1088/1367-2630/aab03b

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Equilibration time scales in closed many-body quantum systems. / Wilming, Henrik ; de Oliveira, Thiago; Short, Tony et al.
Thermodynamics in the quantum regime - Recent Progress and Outlook. ed. / F Binder; L A Correa; C Gogolin; J Anders; G Adesso. Vol. 20 Springer Berlin Heidelberg, 2018.

Research output: Chapter in Book/Report/Conference proceeding › Chapter in a book

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AB - For a quantum system to be captured by a stationary statistical ensemble, as is common in thermodynamics and statistical mechanics, it is necessary that it reaches some apparently stationary state in the first place. In this book chapter, we discuss the problem of equilibration and specifically provide insights into how long it takes to reach equilibrium in closed quantum systems. We first briefly discuss the connection of this problem with recent experiments and forthcoming quantum simulators. Then we provide a comprehensive discussion of equilibration from a heuristic point of view, with a focus on providing an intuitive understanding and connecting the problem with general properties of interacting many-body systems. Finally, we provide a concise review of the rigorous results on equilibration times that are known in the literature.

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Equilibration time scales in closed many-body quantum systems

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Keywords

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