English

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

Quantum Gases 2020-07-15 v1

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.

Keywords

Cite

@article{arxiv.1910.12489,
  title  = {Chaotic and regular dynamics in the three-site Bose-Hubbard model},
  author = {A. A. Bychek and P. S. Muraev and D. N. Maksimov and A. R. Kolovsky},
  journal= {arXiv preprint arXiv:1910.12489},
  year   = {2020}
}

Comments

8 pages, 6 figures

R2 v1 2026-06-23T11:56:47.796Z