Cold atoms in rotating optical lattice with nearest neighbour interaction

Abstract

Extended Bose Hubbard models with nearest neighbour interaction describe minimally the effect of long range interaction on ultra cold atoms in deep optical lattices. Rotation of such optical lattices subject such neutral cold atoms to the effect of an artificial magnetic field. The modification of the phase boundaries of the density wave and Mott Insulator phases due to this rotation are shown to be related to the edge spectrum of spinorial and scalar Harper equation. Corresponding profiles of the checkerboard vortex states with sublattice modulated superfluid order parameter near density wave phase boundary are calculated.

Slightly revised, Accepted in Physical Review A for publication

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• Extended Bose Hubbard model for two leg ladder systems in artificial magnetic fields
• Two-leg ladder Bose Hubbard models with staggered fluxes
• Twonniers: Interaction-induced effects on Bose-Hubbard parameters
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background
• The Sagnac Effect in Optical Lattices with Laser-Assisted Tunneling