On the Thermalization Hypothesis of Quantum States

被引：3

作者：

Volovich, I. V. ^{[1
]}

Inozemcev, O., V ^{[1
]}

机构：

[1] Russian Acad Sci, Steklov Math Inst, Ul Gubkina 8, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2021年 / 313卷 / 01期

基金：

俄罗斯科学基金会;

关键词：

ETH; eigenstate thermalization hypothesis; thermalization; equilibration; STATISTICAL-MECHANICS; CHAOS;

D O I：

10.1134/S0081543821020255

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：268 / 278

页数：11

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