Statistical properties of the spectrum the extended Bose-Hubbard model

Details Statistical properties of the spectrum the extended Bose-Hubbard model Statistical properties of the spectrum the extended Bose-Hubbard model

2010-04-13

arxiv.org/abs/1004.2203v3

J. Stat. Mech. (2010) P08011

Physics

Condensed Matter

Quantum Gases

18 pages, 15 figures

Scientific paper

10.1088/1742-5468/2010/08/P08011

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.

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