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arXiv · 1004.2203

Statistical properties of the spectrum the extended Bose-Hubbard model

Corinna Kollath·Guillaume Roux·Giulio Biroli·Andreas Laeuchli
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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.

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Corinna Kollath, Guillaume Roux, Giulio Biroli, Andreas Laeuchli. 2010-08-17. Statistical properties of the spectrum the extended Bose-Hubbard model. https://doi.org/10.1088/1742-5468%2F2010%2F08%2Fp08011

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