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On the Thermalization Hypothesis of Quantum States
Proceedings of the Steklov Institute of Mathematics ( IF 0.5 ) Pub Date : 2021-07-20 , DOI: 10.1134/s0081543821020255
I. V. Volovich 1 , O. V. Inozemcev 1
Affiliation  

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.



中文翻译:

关于量子态的热化假说

摘要

讨论了本征态热化假设 (ETH)。我们注意到 ETH 的一种常见公式并不一定意味着隔离多体量子系统的可观测值的热化。我们表明,为了获得热化,必须假设 ETH ansatz 中的规范或微规范分布。更一般地说,可以在广义 ETH ansatz 中假设任何其他平均值,这会导致相应的平衡条件。

更新日期:2021-07-22
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