Abstract
Motivated by the role that spectral properties play for the dynamical evolution of aquantum many-body system, we investigate the level spacing statistics of the extendedBose–Hubbard model. In particular, we focus on the distribution of the ratioof adjacent level spacings, useful at large interactions, to distinguish betweenchaotic and non-chaotic regimes. After revisiting the bare Bose–Hubbard model, westudy the effect of two different perturbations: next-nearest-neighbor hopping andnearest-neighbor interaction. The system size dependence is investigated together withthe effect of the proximity to integrable points or lines. Lastly, we discuss theconsequences of a cutoff in the number of onsite bosons on the level statistics.
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