2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/216874We 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.4 pages, 3 figures, published versionOther Condensed MatterStatistical Mechanicstext