Quantum states of p-band bosons in optical lattices

Details Quantum states of p-band bosons in optical lattices Quantum states of p-band bosons in optical lattices

2009-10-13

arxiv.org/abs/0910.2432v1

Phys. Rev. A 81, 023605 (2010)

Physics

Condensed Matter

Quantum Gases

9 pages, 4 figures

Scientific paper

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.

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