Phase diagram for ultracold bosons in optical lattices and superlattices

2004/05/31 by P. Buonsante, Pierfrancesco Buonsante, A. Vezzani +1 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Theoretical and Computational Physics #cond-mat.soft #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreva.70.033608

published as Phys. Rev. A 70, 033608 (2004) · 8 pages, 6 figures, submitted to Phys. Rev. A

openalex publication_date 2004/09/22 · arxiv created 2004/10/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Topology-induced confined superfluidity in inhomogeneous arrays
• Bose-Hubbard Model on a Honeycomb Superlattice: Quantum Phase Transitions and Lattice Effects
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model

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