Bose-Hubbard Hamiltonian: Quantum Chaos approach
Quantum Physics
2016-05-04 v1 Quantum Gases
Abstract
We discuss applications of the theory of Quantum Chaos to one of the paradigm models of many-body quantum physics -- the Bose-Hubbard model, which describes, in particular, interacting ultracold Bose atoms in an optical lattice. After preliminary, pure quantum analysis of the system we introduce the classical counterpart of the Bose-Hubbard model and the governing semiclassical equations of motion. We analyze these equations for the problem of Bloch oscillations of cold atoms where a number of experimental results are available. The review is written for non-experts and can be viewed as an introduction to the field.
Keywords
Cite
@article{arxiv.1507.03413,
title = {Bose-Hubbard Hamiltonian: Quantum Chaos approach},
author = {Andrey R. Kolovsky},
journal= {arXiv preprint arXiv:1507.03413},
year = {2016}
}
Comments
Conference proceeding, 18 pages, 11 figures