Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice
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.
Keywords
Cite
@article{arxiv.0704.2496,
title = {Phase Boundary of the Boson Mott Insulator in a Rotating Optical Lattice},
author = {R. O. Umucalilar and M. O. Oktel},
journal= {arXiv preprint arXiv:0704.2496},
year = {2008}
}
Comments
5 pages,3 figures. High resolution figures available upon request