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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 285–295
DOI: https://doi.org/10.4213/tm4169 (Mi tm4169) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the Thermalization Hypothesis of Quantum States

I. V. Volovich, O. V. Inozemcev

Steklov Mathematical Institute of Russian Academy of Sciences, ul. Gubkina 8, Moscow, 119991 Russia
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DOI: https://doi.org/10.4213/tm4169
Abstract: The eigenstate thermalization hypothesis (ETH) is discussed. We note that one common formulation of the ETH does not necessarily imply thermalization of an observable of an isolated many-body quantum system. We show that to get thermalization, one has to postulate the canonical or microcanonical distribution in the ETH ansatz. More generally, any other average can be postulated in the generalized ETH ansatz, which leads to a corresponding equilibration condition.
Keywords: ETH, eigenstate thermalization hypothesis, thermalization, equilibration.
Funding agency Grant number
Russian Science Foundation 19-11-00320
This work is supported by the Russian Science Foundation under grant 19-11-00320.
Received: July 17, 2020
Revised: July 17, 2020
Accepted: January 29, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 268–278
DOI: https://doi.org/10.1134/S0081543821020255
Bibliographic databases:
Document Type: Article
UDC: 536.93
Language: Russian
Citation: I. V. Volovich, O. V. Inozemcev, “On the Thermalization Hypothesis of Quantum States”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 285–295; Proc. Steklov Inst. Math., 313 (2021), 268–278
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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