TY - JOUR
T1 - Temperature of a single chaotic eigenstate
AU - Borgonovi, Fausto
AU - Mattiotti, Francesco
AU - Izrailev, Felix M.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Condensed Matter Physics
KW - Statistical and Nonlinear Physics
KW - Statistics and Probability
KW - Condensed Matter Physics
KW - Statistical and Nonlinear Physics
KW - Statistics and Probability
UR - http://hdl.handle.net/10807/98805
UR - http://harvest.aps.org/bagit/articles/10.1103/physreve.95.042135/apsxml
U2 - 10.1103/PhysRevE.95.042135
DO - 10.1103/PhysRevE.95.042135
M3 - Article
SN - 1539-3755
VL - 95
SP - N/A-N/A
JO - PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
JF - PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS
ER -