Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
arXiv:0704.2496 · doi:10.1103/PhysRevA.76.055601
Abstract
We consider the Bose-Hubbard model in a two dimensional rotating optical lattice and investigate the consequences of the effective magnetic field created by rotation. Using a Gutzwiller type variational wavefunction, we find an analytical expression for the Mott insulator(MI)-Superfluid(SF) transition boundary in terms of the maximum eigenvalue of the Hofstadter butterfly. The dependence of phase boundary on the effective magnetic field is complex, reflecting the self-similar properties of the single particle energy spectrum. Finally, we argue that fractional quantum Hall phases exist close to the MI-SF transition boundaries, including MI states with particle densities greater than one.
5 pages,3 figures. High resolution figures available upon request
References in corpus (6)
- Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
- Observation of Vortex Pinning in Bose-Einstein Condensates
- Vortex configurations of bosons in an optical lattice
- Mean-field theory for Bose-Hubbard Model under a magnetic field
- Fractional-filling loophole insulator domains for ultracold bosons in optical superlattices
- Edge Transport in 2D Cold Atom Optical Lattices
Cited by in corpus (10)
- Composite Fermion Theory for Bosonic Atoms in Optical Lattices
- Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
- Optical lattice quantum Hall effect
- Vortex lattices of bosons in deep rotating optical lattices
- Uniformly frustrated bosonic Josephson-junction arrays
- Characterizing the Hofstadter butterfly's outline with Chern numbers
- Vortices near the Mott phase of a trapped Bose-Einstein condensate
- Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
- Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers
- Vortices in rotating optical lattices: commensurability, hysteresis, and proximity to the Mott State