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

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

2008-05-22

arxiv.org/abs/0805.3388v3

Phys. Rev. Lett. 102, 025302 (2009)

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures, published version

Scientific paper

10.1103/PhysRevLett.102.025302

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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