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arXiv · 1910.12489

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

A. A. Bychek·P. S. Muraev·D. N. Maksimov·A. R. Kolovsky
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Abstract

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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A. A. Bychek, P. S. Muraev, D. N. Maksimov, A. R. Kolovsky. 2019-10-28. Chaotic and regular dynamics in the three-site Bose-Hubbard model. https://doi.org/10.1063/5.0011540

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