Analytical Mean-Field Approach to the Phase Diagram of Ultracold Bosons in Optical Superlattices

Year: 2005

Authors: Buonsante P., Penna V., Vezzani A.

Autors Affiliation: [1,2] Dipartimento di Fisica and INFM, Politecnico di Torino
[3] Dipartimento di Fisica and INFM, Università degli Studi di Parma

Abstract: 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 an analysis of the stability of a fixed point of the map defined by the self-con- sistency condition inherent in the mean-field approximation. The experimentally relevant case of the two-period one-dimensional superlattice is briefly discussed. In particular, it is shown that, for a special choice of the super- lattice parameters, the half-filling insulator domain features an unusual loophole shape that the single-site mean-field approach fails to capture.

Journal/Review: LASER PHYSICS

Volume: 15 (2)      Pages from: 361  to: 365

KeyWords: ultracold atoms; optical lattices; superlattices; quantum phases;

Citations: 29
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