Response of Bose gases in time-dependent optical superlattices

Details Response of Bose gases in time-dependent optical superlattices Response of Bose gases in time-dependent optical superlattices

2006-06-27

arxiv.org/abs/cond-mat/0606677v2

J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 4547-4562

Physics

Condensed Matter

Statistical Mechanics

20 pages, 9 figures; added references and corrected typos

Scientific paper

10.1088/0953-4075/39/21/015

The dynamic response of ultracold Bose gases in one-dimensional optical lattices and superlattices is investigated based on exact numerical time evolutions in the framework of the Bose-Hubbard model. The system is excited by a temporal amplitude modulation of the lattice potential, as it was done in recent experiments. For regular lattice potentials, the dynamic signatures of the superfluid to Mott-insulator transition are studied and the position and the fine-structure of the resonances is explained by a linear response analysis. Using direct simulations and the perturbative analysis it is shown that in the presence of a two-colour superlattice the excitation spectrum changes significantly when going from the homogeneous Mott-insulator the quasi Bose-glass phase. A characteristic and experimentally accessible signature for the quasi Bose-glass is the appearance of low-lying resonances and a suppression of the dominant resonance of the Mott-insulator phase.

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