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Chaotic and regular dynamics in the three-site Bose-Hubbard model

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arxiv 1910.12489 v1 pith:UAKCZYKV submitted 2019-10-28 cond-mat.quant-gas

A. A. Bychek , P. S. Muraev , D. N. Maksimov , A. R. Kolovsky This is my paper
classification cond-mat.quant-gas
keywords bose-hubbardmodelregularchaoticcomponentsspectrumthree-siteagreement
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We analyze the energy spectrum of the three-site Bose-Hubbard model. It is shown that this spectrum is a mixture of the regular and irregular spectra associated with the regular and chaotic components of the classical Bose-Hubbard model. We find relative volumes of these components by using the pseudoclassical approach. Substituting these values in the Berry-Robnik distribution for the level spacing statistics we obtain good agreement with the numerical data.

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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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