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Statistical properties of the spectrum the extended Bose-Hubbard model

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arxiv 1004.2203 v3 pith:MGTRCCIT submitted 2010-04-13 cond-mat.quant-gas

classification cond-mat.quant-gas
keywords bose-hubbardlevelmodeleffectextendedinteractionpropertiessystem
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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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  1. Integrable 3-Site, Tilted, Extended Bose-Hubbard Model with Nearest-Neighbour Interactions

    cond-mat.quant-gas 2025-06 conditional novelty 6.0 of 10

    A carefully tuned three-site extended Bose-Hubbard model with nearest-neighbour interactions is integrable and solved exactly by a Bethe ansatz.

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