Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice

Details Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice

2007-04-19

arxiv.org/abs/0704.2496v1

Phys. Rev. A 76, 055601 (2007)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages,3 figures. High resolution figures available upon request

Scientific paper

10.1103/PhysRevA.76.055601

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.

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