Details
| Original language | English |
|---|---|
| Title of host publication | Fundamental Theories of Physics |
| Publisher | Springer |
| Pages | 435-455 |
| Number of pages | 21 |
| Publication status | E-pub ahead of print - 2 Apr 2019 |
| Externally published | Yes |
Publication series
| Name | Fundamental Theories of Physics |
|---|---|
| Volume | 195 |
| ISSN (Print) | 0168-1222 |
| ISSN (electronic) | 2365-6425 |
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.
ASJC Scopus subject areas
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Fundamental Theories of Physics. Springer, 2019. p. 435-455 (Fundamental Theories of Physics; Vol. 195).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Equilibration Times in Closed Quantum Many-Body Systems
AU - Wilming, Henrik
AU - de Oliveira, Thiago R.
AU - Short, Anthony J.
AU - Eisert, Jens
N1 - Funding Information: Acknowledgements We would like to thank Lea F. Santos, C. Gogolin, and P. Reimann for comments on an earlier draft. H. W. and J. E. acknowledge funding from the Studienstiftung des Deutschen Volkes, the ERC (TAQ), the DFG (EI 519/14-1, EI 519/7-1, CRC 183), and the Temple-ton Foundation. T. R. O. is supported by the Brazilian National Institute for Science and Technology of Quantum Information (INCT-IQ) and the National Counsel of Technological and Scientific Development (CNPq). We would like to thank Lea F. Santos, C. Gogolin, and P. Reimann for comments on an earlier draft. H. W. and J. E. acknowledge funding from the Studienstiftung des Deutschen Volkes, the ERC (TAQ), the DFG (EI 519/14-1, EI 519/7-1, CRC 183), and the Templeton Foundation. T. R. O. is supported by the Brazilian National Institute for Science and Technology of Quantum Information (INCT-IQ) and the National Counsel of Technological and Scientific Development (CNPq).
PY - 2019/4/2
Y1 - 2019/4/2
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85067181278&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-99046-0_18
DO - 10.1007/978-3-319-99046-0_18
M3 - Contribution to book/anthology
AN - SCOPUS:85067181278
T3 - Fundamental Theories of Physics
SP - 435
EP - 455
BT - Fundamental Theories of Physics
PB - Springer
ER -