Mean-field theory for Bose-Hubbard Model under a magnetic field

Abstract

We consider the superfluid-insulator transition for cold bosons under an effective magnetic field. We investigate how the applied magnetic field affects the Mott transition within mean field theory and find that the critical hopping strength $(t/U{)}_c$, increases with the applied field. The increase in the critical hopping follows the bandwidth of the Hofstadter butterfly at the given value of the magnetic field. We also calculate the magnetization and superfluid density within mean field theory.

11 pages, 7 figures, published version

References in corpus (5)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Non-Abelian gauge potentials for ultra-cold atoms with degenerate dark states
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Phase Diagram for Ultracold Bosons in Optical Lattices and Superlattices
• Cell strong coupling perturbative approach to the phase diagram of ultracold bosons in optical superlattices

Cited by in corpus (21)

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• Interacting Hofstadter spectrum of atoms in an artificial gauge field
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• Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Bosonic Analogs of Fractional Quantum Hall State in the Vicinity of Mott States
• Unconventional Self-Similar Hofstadter Superconductivity from Repulsive Interactions
• Characterizing the Hofstadter butterfly's outline with Chern numbers
• Frustration effects in rapidly rotating square and triangular optical lattices
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Synthetic magnetic field effects on neutral bosonic condensates in quasi three-dimensional anisotropic layered structures
• Rotating states for trapped bosons in an optical lattice
• Cold atoms in rotating optical lattice with nearest neighbour interaction
• Spatial patterns in optical lattices submitted to gauge potentials
• Accurate neural quantum states for interacting lattice bosons
• 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
• Simulation of gauge transformations on systems of ultracold atoms
• Exact diagonalization using hierarchical wave functions and calculation of topological entanglement entropy
• Quantum Hall states for $\alpha =1/3$ in optical lattices