English

Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model

Other Condensed Matter 2009-01-23 v3 Statistical Mechanics

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.

Keywords

Cite

@article{arxiv.0805.3388,
  title  = {Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model},
  author = {Amy C. Cassidy and Douglas Mason and Vanja Dunjko and Maxim Olshanii},
  journal= {arXiv preprint arXiv:0805.3388},
  year   = {2009}
}

Comments

4 pages, 3 figures, published version