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arXiv · 0805.3388

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

Amy C. Cassidy·Douglas Mason·Vanja Dunjko·Maxim Olshanii
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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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Amy C. Cassidy, Douglas Mason, Vanja Dunjko, Maxim Olshanii. 2009-01-23. Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model. https://doi.org/10.1103/physrevlett.102.025302

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