Statistical properties of the spectrum the extended Bose-Hubbard model
Abstract
Motivated by the role that spectral properties play for the dynamical evolution of a quantum many-body system, we investigate the level spacing statistic of the extended Bose-Hubbard model. In particular, we focus on the distribution of the ratio of adjacent level spacings, useful at large interaction, to distinguish between chaotic and non-chaotic regimes. After revisiting the bare Bose-Hubbard model, we study the effect of two different perturbations: next-nearest neighbor hopping and nearest-neighbor interaction. The system size dependence is investigated together with the effect of the proximity to integrable points or lines. Lastly, we discuss the consequences of a cutoff in the number of onsite bosons onto the level statistics.
Keywords
Cite
@article{arxiv.1004.2203,
title = {Statistical properties of the spectrum the extended Bose-Hubbard model},
author = {Corinna Kollath and Guillaume Roux and Giulio Biroli and Andreas Laeuchli},
journal= {arXiv preprint arXiv:1004.2203},
year = {2010}
}
Comments
18 pages, 15 figures