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.

Borgonovi, F., Mattiotti, F., Izrailev, F. M., Temperature of a single chaotic eigenstate, <<PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS>>, 2017; 95 (4): N/A-N/A. [doi:10.1103/PhysRevE.95.042135] [http://hdl.handle.net/10807/98805]

Temperature of a single chaotic eigenstate

Borgonovi, Fausto
Primo
;
Mattiotti, Francesco
Secondo
;
2017

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.
Inglese
Borgonovi, F., Mattiotti, F., Izrailev, F. M., Temperature of a single chaotic eigenstate, <<PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS>>, 2017; 95 (4): N/A-N/A. [doi:10.1103/PhysRevE.95.042135] [http://hdl.handle.net/10807/98805]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/10807/98805
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