Nonlinear behavior of bosons in anisotropic optical lattices
arXiv:0712.3851
Abstract
We investigate the behavior of an array of Bose-Einstein condensate tubes described by means of a Bose-Hubbard Hamiltonian. Using an anisotropic non-polynomial Schrodinger equation we link the macroscopic parameters in the Bose-Hubbard Hamiltonian to the ones that are tunable in experiments. Using a mean field approach we predict that increasing the optical lattice strength along the direction of the tubes, the condensate can experience a reentrant transition between a Mott insulating phase and the superfluid one.
5 pages, 4 figures, discussion revised after referee comments