Temperature of a single chaotic eigenstate

Fausto Borgonovi, Francesco Mattiotti, Felix M. Izrailev

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

The onset of thermalization in a closed system of randomly interacting bosons at the level of a single eigenstate is discussed. We focus on the emergence of Bose-Einstein distribution of single-particle occupation numbers, and we give a local criterion for thermalization dependent on the eigenstate energy. We show how to define the temperature of an eigenstate, provided that it has a chaotic structure in the basis defined by the single-particle states. The analytical expression for the eigenstate temperature as a function of both interparticle interaction and energy is complemented by numerical data.
Original languageEnglish
Pages (from-to)N/A-N/A
JournalPHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
Volume95
DOIs
Publication statusPublished - 2017

Keywords

  • Condensed Matter Physics
  • Statistical and Nonlinear Physics
  • Statistics and Probability

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