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

2019/10/28 by A. A. Bychek, P. S. Muraev, D. N. Maksimov +1 · 1 citation
Physics and Astronomy · #cond-mat.quant-gas

paper · pdf · doi:10.1063/5.0011540

8 pages, 6 figures

arxiv created 2019/10/28 · arxiv updated 2020/07/15

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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