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 Trudy Mat. Inst. Steklova, 2021, Volume 313, Pages 285–295 (Mi tm4169)

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

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.

 Funding Agency Grant Number Russian Science Foundation 19-11-00320 This work is supported by the Russian Science Foundation under grant 19-11-00320.

DOI: https://doi.org/10.4213/tm4169

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English version:
Proceedings of the Steklov Institute of Mathematics, 2021, 313, 268–278

Bibliographic databases:

UDC: 536.93
Revised: July 17, 2020
Accepted: January 29, 2021

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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