Statistical properties of the spectrum the extended Bose-Hubbard model - Archive ouverte HAL
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2010

Statistical properties of the spectrum the extended Bose-Hubbard model

Résumé

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.

Dates et versions

hal-00521989 , version 1 (29-09-2010)

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Corinna Kollath, Guillaume Roux, Giulio Biroli, Andreas Laeuchli. Statistical properties of the spectrum the extended Bose-Hubbard model. Journal of Statistical Mechanics: Theory and Experiment, 2010, pp.P08011. ⟨hal-00521989⟩
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