Equilibration Times in Closed Quantum Many-Body Systems

Wilming H, de Oliveira TR, Short AJ, Eisert J (2018)

Publication Type: Book chapter / Article in edited volumes

Publication year: 2018

Publisher: Springer

Series: Fundamental Theories of Physics

Book Volume: 195

Pages Range: 435-455

DOI: 10.1007/978-3-319-99046-0_18

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.

Involved external institutions

Freie Universität Berlin DE Germany (DE) Fluminense Federal University / Universidade Federal Fluminense (UFF) BR Brazil (BR) University of Bristol GB United Kingdom (GB)

How to cite

APA:

Wilming, H., de Oliveira, T.R., Short, A.J., & Eisert, J. (2018). Equilibration Times in Closed Quantum Many-Body Systems. In (pp. 435-455). Springer.

MLA:

Wilming, Henrik, et al. "Equilibration Times in Closed Quantum Many-Body Systems." Springer, 2018. 435-455.

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