Superfluid-Insulator transition of ultracold atoms in an optical lattice in the presence of a synthetic magnetic field

Abstract

We study the Mott insulator-superfluid transition of ultracold bosonic atoms in a two-dimensional square optical lattice in the presence of a synthetic magnetic field with p/q (p and q being co-prime integers) flux quanta passing through each lattice plaquette. We show that on approach to the transition from the Mott side, the momentum distribution of the bosons exhibits q precursor peaks within the first magnetic Brillouin zone. We also provide an effective theory for the transition and show that it involves q interacting boson fields. We construct, from a mean-field analysis of this effective theory, the superfluid ground states near the transition and compute, for q=2,3, both the gapped and the gapless collective modes of these states. We suggest experiments to test our theory.

4 pages, 4 figs; v1

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• Chiral Mott insulator with staggered loop currents in the fully frustrated Bose Hubbard model
• Quantum phase transition of ultracold bosons in the presence of a non-Abelian synthetic gauge field
• Chiral Bosonic Phases on the Haldane Honeycomb Lattice
• Superfluid-Insulator transition of two-species bosons with spin-orbit coupling
• Bosonic Analogs of Fractional Quantum Hall State in the Vicinity of Mott States
• Time-of-flight patterns of ultra-cold bosons in optical lattices in various Abelian artificial magnetic field gauges
• Entanglement measures and non-equilibrium dynamics of quantum many-body systems: a path integral approach
• Conductivity of strongly correlated bosons in optical lattices in an Abelian synthetic magnetic field
• Bosons with incommensurate potential and spin-orbit coupling
• Momentum Resolved Optical Lattice Modulation Spectroscopy for Bose Hubbard Model
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice
• Cold atoms in U(3) gauge potentials
• Study of unconventional superfluid phases and the phase dynamics in spin-orbit coupled bose system
• Manipulating Goldstone modes via the superradiant light in a bosonic lattice gas inside a cavity
• Time-of-flight images of Mott insulators in the Hofstadter-Bose-Hubbard model