Chaotic and Regular Dynamics In the Three-site Bose-Hubbard Model

Bychek, Anna A.; Muraev, Pavel S.; Maksimov, Dmitrii N. et all AIP Conference Proceedings

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.