Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices

Details Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices Analytical mean-field approach to the phase-diagram of ultracold bosons in optical superlattices

2004-09-15

arxiv.org/abs/cond-mat/0409385v1

Laser Physics 15 (2), 361 (2005)

Physics

Condensed Matter

Statistical Mechanics

7 pages, 1 figure

Scientific paper

We report a multiple-site mean-field analysis of the zero-temperature phase diagram for ultracold bosons in realistic optical superlattices. The system of interacting bosons is described by a Bose-Hubbard model whose site-dependent parameters reflect the nontrivial periodicity of the optical superlattice. An analytic approach is formulated based on the analysis of the stability of a fixed-point of the map defined by the self-consistency condition inherent in the mean-field approximation. The experimentally relevant case of the period-2 one-dimensional superlattice is briefly discussed. In particular, it is shown that, for a special choice of the superlattice parameters, the half-filling insulator domain features an unusual loophole shape that the single-site mean-field approach fails to capture.

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