Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices

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 result supplies an analytic expression for the Mott lobes of superlattices, characterized by a critical fractional filling.

8 pages, 6 figures, submitted to Phys. Rev. A

References in corpus (1)

• Non-equilibrium Gross-Pitaevskii dynamics of boson lattice models

Cited by in corpus (30)

• Cold Bosons in Optical Lattices
• The quasi-periodic Bose-Hubbard model and localization in one-dimensional cold atomic gases
• Quantum Monte Carlo Study of an Interaction-Driven Band Insulator to Metal Transition
• Quantum Phase Diagram of Bosons in Optical Lattices
• Quantum phases of bosons in double-well optical lattices
• Mean-field theory for Bose-Hubbard Model under a magnetic field
• Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
• Mean-field phase diagram of disordered bosons in a lattice at non-zero temperature
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
• Bose-Fermi mixtures in an optical lattice
• Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
• Fractional-filling Mott domains in two dimensional optical superlattices
• Superfluid-insulator transition in Fermi-Bose mixtures and the orthogonality catastrophe
• Phase transition of light on complex quantum networks
• Finite-temperature effects on the superfluid Bose-Einstein condensation of confined ultracold atoms in three-dimensional optical lattices
• Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements
• Strong-coupling expansions for the topologically inhomogeneous Bose-Hubbard model
• Hanbury Brown-Twiss Interferometry for Fractional and Integer Mott Phases
• Topology-induced confined superfluidity in inhomogeneous arrays
• Mean-field phase diagram for Bose-Hubbard Hamiltonians with random hopping
• Bosons in a two-dimensional bichromatic quasiperiodic potential: Analysis of the disorder in the Bose-Hubbard parameters and phase diagrams
• Growing quantum states with topological order
• Superfluid Dynamics of a Bose-Einstein Condensate in a One Dimensional Optical Super-Lattice
• Coherence Properties of a Bose-Einstein Condensate in an Optical Superlattice
• Classical and Quantum Gases on a Semiregular Mesh
• Staggered quantum phases of dipolar bosons at finite temperatures
• Static versus dynamic fluctuations in the one-dimensional extended Hubbard model
• Bose-Fermi-Hubbard model on a lattice with two nonequivalent sublattices
• Spin-orbit coupling driven superfluid states in optical lattices at zero and finite temperatures