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arxiv: 0805.3388 · v3 · submitted 2008-05-22 · ❄️ cond-mat.other · cond-mat.stat-mech

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

classification ❄️ cond-mat.other cond-mat.stat-mech
keywords thresholdchaosthermalizationbose-hubbardmean-fieldmodelaboveatoms
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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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