FisMat2017 - Submission - View

Abstract's title: the temperature of a single chaootic eigenstate
Submitting author: Fausto Borgonovi
Affiliation: università Cattolica and INFN
Affiliation Address: via musei 41
Country: Italy
Oral presentation/Poster (Author's request): Oral presentation
Other authors and affiliations: francesco mattiotti (unicatt, Italy) Felix Izrailev (BUAP, Mexico)

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  inter-particle interaction and energy is complemented by numerical data.