Threshold for chaos and thermalization in the one-dimensional mean-field Bose-Hubbard model

Amy C. Cassidy; Douglas Mason; Vanja Dunjko; Maxim Olshanii

doi:10.1103/PhysRevLett.102.025302

Threshold for chaos and thermalization in the one-dimensional mean-field Bose-Hubbard model

Amy C. Cassidy
, Douglas Mason
, Vanja Dunjko
, Maxim Olshanii

Physics

University of Southern California
University of Massachusetts Boston
Harvard University

Research output: Contribution to journal › Article › peer-review

Abstract

We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which, in particular, describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic limit, and show that it is indeed a precursor of thermalization. Far above the threshold, the state of the system after relaxation is governed by the usual laws of statistical mechanics.

Original language	English
Article number	025302
Journal	Physical Review Letters
Volume	102
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevLett.102.025302
State	Published - Jan 12 2009

ASJC Scopus Subject Areas

General Physics and Astronomy

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10.1103/PhysRevLett.102.025302

Cite this

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abstract = "We study the threshold for chaos and its relation to thermalization in the 1D mean-field Bose-Hubbard model, which, in particular, describes atoms in optical lattices. We identify the threshold for chaos, which is finite in the thermodynamic limit, and show that it is indeed a precursor of thermalization. Far above the threshold, the state of the system after relaxation is governed by the usual laws of statistical mechanics.",

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Threshold for chaos and thermalization in the one-dimensional mean-field Bose-Hubbard model

Abstract

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