Phase diagram for ultracold bosons in optical lattices and superlattices

Journal Article · Wed Sep 01 04:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.033608· OSTI ID:20646104

Buonsante, P ^[1]; Vezzani, A ^[2]

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1. Dipartimento di Fisica, Politecnico di Torino and INFM, Corso Duca degli Abruzzi 24, I-10129 Torino (Italy)
2. Dipartimento di Fisica, Universita degli Studi di Parma and INFM, Parco Area delle Scienze 7/a, I-43100 Parma (Italy)

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.

• OSTI ID: 20646104
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 70; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
ATOMS
BOSONS
COOLING
FLUIDS
HUBBARD MODEL
LASER RADIATION
MEAN-FIELD THEORY
PHASE DIAGRAMS
QUANTUM MECHANICS
RADIATION PRESSURE
STATISTICAL MECHANICS
SUPERFLUIDITY
SUPERLATTICES
TRAPPING