Mateusz Lacki, Jakub Zakrzewski
Cold atoms in optical lattices allow to study in a detailed way a many body dynamics. Rapid time-dependent modifications of optical lattice potentials may result in significant excitations in atomic systems. The dynamics in such a case is frequently quite incompletely described by standard applications of tight-binding models (such as e.g. Bose-Hubbard model or its extensions) that typically neglect the effect of the dynamics on the transformation between the real space and the tight-binding basis. We develop a quasi-exact multi-band approach using time-dependent Wannier functions and apply it to model cases, directly related to experiments.
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http://arxiv.org/abs/1210.7957
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