Vortex lattices in the lowest Landau level for confined Bose-Einstein condensates

Abstract

We present the results of numerical calculations of the groundstates of weakly-interacting Bose-Einstein condensates containing large numbers of vortices. Our calculations show that these groundstates appear to be close to uniform triangular vortex lattices. However, slight deviations from a uniform triangular lattice have dramatic consequences on the overall particle distribution. In particular, we demonstrate that the overall particle distribution averaged on a lengthscale large compared to the vortex lattice constant is well approximated by a Thomas-Fermi profile.

5 pages, 4 figures

Cited by in corpus (44)

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• Rapidly Rotating Atomic Gases
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• Spin-Orbit Coupled Bose-Einstein Condensate under Rotation
• Vortex patterns in a fast rotating Bose-Einstein condensate
• Novel vortex structures in dipolar condensates
• Experimental studies of equilibrium vortex properties in a Bose-condensed gas
• Landau levels and the Thomas-Fermi structure of rapidly rotating Bose-Einstein condensates
• Vortices in Spatially Inhomogeneous Superfluids
• Strongly correlated phases in rapidly rotating Bose gases
• Ground State and Tkachenko Modes of a Rapidly Rotating Bose-Einstein Condensate in the Lowest Landau Level State
• Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
• Vortex distribution in the Lowest Landau Level
• Dynamics of rapidly rotating Bose-Einstein condensates in a harmonic plus quartic trap
• Vortex Lattice Inhomogeneity in Spatially Inhomogeneous Superfluids
• Rotation of a Bose-Einstein Condensate held under a toroidal trap
• Vortex structures in rotating Bose-Einstein condensates
• Fast rotating condensates in an asymmetric harmonic trap
• Quantum Hall states of atomic Bose gases: density profiles in single-layer and multi-layer geometries
• Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap
• Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
• Structure of vortices in rotating Bose-Einstein condensates
• Vortex-lattice melting in a one-dimensional optical lattice
• Thermal Fluctuations of Vortex Matter in Trapped Bose-Einstein Condensates
• Theory of vortex-lattice melting in a one-dimensional optical lattice
• Thermalized Abrikosov lattices from decaying turbulence in rotating BECs
• Non-uniform vortex lattices in inhomogeneous rotating Bose-Einstein condensates
• Breathing mode of rapidly rotating Bose-Einstein condensates
• Vortices in a rotating Bose-Einstein condensate under extreme elongation in a harmonic plus quartic trap
• Fluctuations and correlations in rotating Bose-Einstein condensates
• Surface waves and bulk Ruderman mode of a bosonic superfluid vortex crystal in the lowest Landau level
• Reaching the quantum Hall regime with rotating Rydberg-dressed atoms
• Effects of boundaries and density inhomogeneity on states of vortex matter in Bose--Einstein condensates at finite temperature
• Roton minimum at $\nu =1/2$ filled fractional quantum Hall effect of Bose particles
• Vortex structures of rotating Bose-Einstein condensates in anisotropic harmonic potential
• Numerical method for the projected Gross--Pitaevskii equation in an infinite rotating 2D Bose gas
• Thomas-Fermi profile of a fast rotating Bose-Einstein condensate
• The axial breathing mode in rapidly rotating Bose-Einstein condensates and uncertainty of the rotation velocity
• Rotating BEC in an optical lattice in Uniformly frustrated Josephson Junction arrays regime: Vortex configuration formulation for ground state
• Correlations in lowest Landau level vortex states
• Fast mode of rotating atoms in one-dimensional lattice rings
• Annular Bose-Einstein Condensates in the Lowest Landau Level
• Turbulence in rotating Bose-Einstein condensates
• Quantum Fluctuations of Vortex-Lattice State in Ultrafast Rotating Bose Gas