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arXiv · 1608.01469

Temperature of a single chaotic eigenstate

Fausto Borgonovi·Francesco Mattiotti·Felix M. Izrailev
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Abstract

The onset of thermalization in a closed finite system of randomly interacting bosons, at the level of a single eigenstate, is discussed. The main interest is in the emergence of the Bose-Einstein distribution of single-particle occupation numbers, establishing a global and local criterion for thermalization. We show how to define the temperature of a given eigenstate, provided that it has a chaotic structure in the basis defined by single-particle states. The analytical expression for the eigenstate temperature as a function of the inter-particle interaction and energy is complemented by numerical data.

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Fausto Borgonovi, Francesco Mattiotti, Felix M. Izrailev. 2017-05-01. Temperature of a single chaotic eigenstate. https://doi.org/10.1103/physreve.95.042135

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