2015/07/13 by Andrey R. Kolovsky · 2 citations
Physics and Astronomy · #quant-ph #cond-mat.quant-gas
paper · pdf · doi:10.1142/s0217979216300097
published as Int. J. of Modern Physics B 30, 1630009 (2016) · Conference proceeding, 18 pages, 11 figures
arxiv created 2015/07/13 · arxiv updated 2016/05/04
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.