Rotating states for trapped bosons in an optical lattice

Abstract

Rotational states for trapped bosons in an optical lattice are studied in the framework of the Hubbard model. Critical frequencies are calculated and the main parameter regimes are identified. Transitions are observed from edge superfluids to vortex lattices with Mott insulating cores, and subsequently to lattices of interstitial vortices. The former transition coincides with the Mott transition. Changes in symmetry of the vortex lattices are observed as a function of lattice depth. Predictions for experimental signatures are presented.

6 pages, 6 figures, accepted for publication in EPL

References in corpus (22)

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• Cold bosonic atoms in optical lattices
• Vortex formation in a stirred Bose-Einstein condensate
• Vortices in a Bose-Einstein Condensate
• Creation of effective magnetic fields in optical lattices: The Hofstadter butterfly for cold neutral atoms
• Quantized Rotation of Atoms From Photons with Orbital Angular Momentum
• Vortex Nucleation in a Stirred Bose-Einstein Condensate
• Observation of Vortex Pinning in Bose-Einstein Condensates
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Formation of spatial shell structures in the superfluid to Mott insulator transition
• Dynamics and Thermodynamics of the Bose-Hubbard model
• Overcritical Rotation of a Trapped Bose-Einstein Condensate
• Multiply quantized vortices in trapped Bose-Einstein condensates
• Pinning of vortices in a Bose-Einstein condensate by an optical lattice
• Vortex configurations of bosons in an optical lattice
• Mean-field theory for Bose-Hubbard Model under a magnetic field
• Strong-coupling perturbation theory for the two-dimensional Bose-Hubbard model in a magnetic field
• Vortex-Peierls States in Optical Lattices
• Local density approximation for confined bosons in an optical lattice
• Vortex lattices of bosons in deep rotating optical lattices
• Edge Transport in 2D Cold Atom Optical Lattices
• Quantized Vortex States of Strongly Interacting Bosons in a Rotating Optical Lattice

Cited by in corpus (11)

• Ultracold bosons with short-range interaction in regular optical lattices
• Bogoliubov theory of interacting bosons on a lattice in a synthetic magnetic field
• Dark solitons near the Mott-insulator--superfluid phase transition
• 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
• Cold atoms in rotating optical lattice with nearest neighbour interaction
• Vortex-lattice pinning in two-component Bose-Einstein condensates
• Kelvin-Helmholtz instability in two-component Bose gases on a lattice
• Density Wave -Supersolid and Mott Insulator-Superfluid transition in presence of an artificial gauge field : a strong coupling perturbation approach
• Ultracold bosons in a synthetic periodic magnetic field: Mott phases and re-entrant superfluid-insulator transitions
• Thermal transitions of the modulated superfluid for spin-orbit coupled correlated bosons in an optical lattice