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arXiv · 1507.03413

Bose-Hubbard Hamiltonian: Quantum Chaos approach

Andrey R. Kolovsky
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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.

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Andrey R. Kolovsky. 2015-07-13. Bose-Hubbard Hamiltonian: Quantum Chaos approach. https://doi.org/10.1142/s0217979216300097

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