Quantum states of p-band bosons in optical lattices

Abstract

We study a gas of repulsively interacting bosons in the first excited band of an optical lattice. We explore this p-band physics both within the framework of a standard mean-field theory as well as with the more accurate generalized Gutzwiller ansatz. We find the phase diagrams for two- and three-dimensional systems and characterize the first Mott-states in detail. Furthermore, we find that even though the p-band model has strongly anisotropic kinetic energies and inter-flavor interaction terms are missing in the lowest band theory, the mean-field theory becomes useful quite rapidly once the transition from the Mott-insulator to the superfluid is crossed.

9 pages, 4 figures

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Cited by in corpus (27)

• Non-standard Hubbard models in optical lattices: a review
• Physics of higher orbital bands in optical lattices: a review
• XYZ quantum Heisenberg models with p-orbital bosons
• Orbital optical lattices with bosons
• Shaken not stirred: Creating exotic angular momentum states by shaking an optical lattice
• Confined p-band Bose-Einstein condensates
• Macroscopic superposition states of ultracold bosons in a double-well potential
• Bath-induced band decay of a Hubbard lattice gas
• Effective action approach to the p-band Mott insulator and superfluid transition
• Tunneling-Induced Restoration of the Degeneracy and the Time-Reversal Symmetry Breaking in Optical Lattices
• Multi-orbital bosons in bipartite optical lattices
• Dynamical instability and loss of p-band bosons in optical lattices
• Superfluid phases of fermions with hybridized $s$ and $p$ orbitals
• Spin dynamics of two bosons in an optical lattice site: a role of anharmonicity and anisotropy of the trapping potential
• Frustrated Bose-Einstein condensates with non-collinear orbital ordering
• Vortex macroscopic superpositions in ultracold bosons in a double-well potential
• Stability of $p$-orbital Bose-Einstein condensates in optical checkerboard and square lattices
• The dominant scattering channel induced by two-body collision of D-band atoms in triangular optical lattice
• Phases of d-orbital bosons in optical lattices
• Selective population of a large-angular-momentum state in an optical lattice
• Unconventional Bose-Einstein Condensation in a System of Two-species Bosons in the $p$-orbital Bands of a Bipartite Lattice
• Loading of bosons in optical lattices into the p band
• Magnetic phases of orbital bipartite optical lattices
• State diagram and the phase transition of $p$-bosons in a square bi-partite optical lattice
• Fate of chiral order and impurity self-pinning in flat bands with local symmetry
• Effects of finite temperature on the robustness of the Mott insulator phase in pseudo one-dimensional Bose-Hubbard Model
• Phase diagram of strongly attractive $p$-orbital fermions on optical lattices