Bose-Hubbard Hamiltonian: Quantum chaos approach

seminar Quantum Dynamics
on April 12, 2016

Andrey Kolovsky
Kirensky Institute of Physics, Krasnoyarsk, Russia

Bose-Hubbard Hamiltonian: Quantum chaos approach

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 talk is intended for nonexperts and can be viewed as an introduction to the field.