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.

arXiv comment5 pages,3 figures. High resolution figures available upon request

References in corpus (15)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Quantum phases in an optical lattice
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Fractional quantum Hall states of atoms in optical Lattices
• Cold atoms in non-Abelian gauge potentials: From the Hofstadter "moth" to lattice gauge theory
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Artificial electromagnetism for neutral atoms: Escher staircase and Laughlin liquids
• High field fractional quantum Hall effect in optical lattices
• Bose-Einstein Condensates in Rotating Lattices
• 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
• Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field
• Edge Transport in 2D Cold Atom Optical Lattices

Cited by in corpus (48)

• Quantum fluids of light
• Observation of Bose-Einstein Condensation in a Strong Synthetic Magnetic Field
• 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
• Condensed Groundstates of Frustrated Bose-Hubbard Models
• 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
• Fractional Quantum Hall states in the vicinity of Mott plateaus
• Uniformly frustrated bosonic Josephson-junction arrays
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Pairing and Vortex Lattices for Interacting Fermions in Optical Lattices with a Large Magnetic Field
• 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
• Hubbard model for atomic impurities bound by the vortex lattice of a rotating BEC
• Competing ground states of strongly correlated bosons in the Harper-Hofstadter-Mott model
• Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field
• Phase diagrams of Bose-Hubbard model and Haldane-Bose-Hubbard model with complex hopping amplitudes
• Two-leg ladder Bose Hubbard models with staggered fluxes
• Vortices near the Mott phase of a trapped Bose-Einstein condensate
• Characterizing fractional topological phases of lattice bosons near the first Mott lobe
• Artificial gauge fields for the Bose-Hubbard model on a checkerboard superlattice and extended Bose-Hubbard model
• Cold atoms in rotating optical lattice with nearest neighbour interaction
• Neural-network quantum states for a two-leg Bose-Hubbard ladder under magnetic flux
• BCS theory of time-reversal-symmetric Hofstadter-Hubbard model
• Commensurability and hysteretic evolution of vortex configurations in rotating optical lattices
• P-band in a rotating optical lattice
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Mott-Insulator Transition for Ultracold Fermions in Two-Dimensional Optical Lattices
• Ultracold bosons in a synthetic periodic magnetic field: Mott phases and re-entrant superfluid-insulator transitions
• 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
• Finite-temperature phase structures of hard-core bosons in an optical lattice with an effective magnetic field
• Electron structure of the Falicov-Kimball model with a magnetic field
• Finite Temperature Phase Diagram in Rotating Bosonic Optical Lattice
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Bosonic Fractional Quantum Hall States in Rotating Optical Lattices: Projective Symmetry Group Analysis
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Interacting fermions in two dimension in simultaneous presence of disorder and magnetic field
• The influence of sublattice bias on superfluid to Mott insulator transitions
• Quantum Hall states for $\alpha =1/3$ in optical lattices
• Vortices in rotating optical lattices: commensurability, hysteresis, and proximity to the Mott State
• Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background