Mean-field theory for Bose-Hubbard Model under a magnetic field

Abstract

We consider the superfluid-insulator transition for cold bosons under an effective magnetic field. We investigate how the applied magnetic field affects the Mott transition within mean field theory and find that the critical hopping strength $(t/U{)}_c$, increases with the applied field. The increase in the critical hopping follows the bandwidth of the Hofstadter butterfly at the given value of the magnetic field. We also calculate the magnetization and superfluid density within mean field theory.

11 pages, 7 figures, published version

References in corpus (4)

• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

Cited by in corpus (7)

• Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
• Mean-field phase diagram of cold lattice bosons in disordered potentials
• Vortex lattices of bosons in deep rotating optical lattices
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Spatial patterns in optical lattices submitted to gauge potentials
• Rotating states for trapped bosons in an optical lattice
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices