Threshold for Chaos and Thermalization in One-Dimensional Mean-Field Bose-Hubbard Model
Amy C. Cassidy, Douglas Mason, Vanja Dunjko, Maxim Olshanii
TL;DR
This paper investigates the onset of chaos and thermalization in the 1D mean-field Bose-Hubbard model, revealing a finite chaos threshold that predicts when the system's relaxation aligns with statistical mechanics.
Contribution
It identifies the finite chaos threshold in the 1D mean-field Bose-Hubbard model and establishes its role as a precursor to thermalization.
Findings
Chaos threshold is finite in the thermodynamic limit.
System thermalizes according to statistical mechanics above the chaos threshold.
Chaos onset correlates with the transition to thermalized states.
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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