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EnglishThe 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]
| Autori: | |
| Titolo: | Temperature of a single chaotic eigenstate |
| Digital Object Identifier (DOI): | http://dx.doi.org/10.1103/PhysRevE.95.042135 |
| URL: | http://harvest.aps.org/bagit/articles/10.1103/PhysRevE.95.042135/apsxml |
| Data di pubblicazione: | 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. |
| Lingua: | Inglese |
| Rivista: | |
| Citazione: | 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] |
| Appare nelle tipologie: | Articolo in rivista, Nota a sentenza |
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