Phase diagram for ultracold bosons in optical lattices and superlattices

Year: 2004

Authors: Buonsante P., Vezzani A.

Autors Affiliation: Dipartimento di Fisica, Politecnico di Torino and INFM, Corso Duca degli Abruzzi 24, I-10129 Torino, Italy; Dipartimento di Fisica, Universit¨¤ degli Studi di Parma and INFM, Parco Area delle Scienze 7¨Ma, I-43100 Parma, Italy

Abstract: We present an analytic description of the finite-temperature phase diagram of the Bose-Hubbard model, successfully describing the physics of cold bosonic atoms trapped in optical lattices and superlattices. Based on a standard statistical mechanics approach, we provide the exact expression for the boundary between the superfluid and the normal fluid by solving the self-consistency equations involved in the mean-field approximation to the Bose-Hubbard model. The zero-temperature limit of such a result supplies an analytic expression for the Mott lobes of superlattices, characterized by a critical fractional filling.

Journal/Review: PHYSICAL REVIEW A

Volume: 70 (3)      Pages from: 033608-1  to: 033608-8

KeyWords: ultracold atoms; optical lattices; superlattices; quantum phase transitions;
DOI: 10.1103/PhysRevA.70.033608

Citations: 80
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