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.

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

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Cited by in corpus (24)

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• Trapped Fermi Gases in Rotating Optical Lattices: Realization and Detection of the Topological Hofstadter Insulator
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• Mott transition in a two-leg Bose-Hubbard ladder under an artificial magnetic field
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Interacting Hofstadter spectrum of atoms in an artificial gauge field
• Vortex lattices of bosons in deep rotating optical lattices
• Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
• Uniformly frustrated bosonic Josephson-junction arrays
• Bosonic Analogs of Fractional Quantum Hall State in the Vicinity of Mott States
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Frustration effects in rapidly rotating square and triangular optical lattices
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Vortices near the Mott phase of a trapped Bose-Einstein condensate
• Cold atoms in rotating optical lattice with nearest neighbour interaction
• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Degeneracy of Many-body Quantum States in an Optical Lattice with a Uniform Magnetic Field
• Electron polarizability of crystalline solids in quantizing magnetic fields and topological gap numbers
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Quantum Hall states for $\alpha =1/3$ in optical lattices
• Vortices in rotating optical lattices: commensurability, hysteresis, and proximity to the Mott State