Rotation of a Bose-Einstein Condensate held under a toroidal trap

Abstract

The aim of this paper is to perform a numerical and analytical study of a rotating Bose Einstein condensate placed in a harmonic plus Gaussian trap, following the experiments of \cite{bssd}. The rotational frequency $\Omega$ has to stay below the trapping frequency of the harmonic potential and we find that the condensate has an annular shape containing a triangular vortex lattice. As $\Omega$ approaches $\omega$, the width of the condensate and the circulation inside the central hole get large. We are able to provide analytical estimates of the size of the condensate and the circulation both in the lowest Landau level limit and the Thomas-Fermi limit, providing an analysis that is consistent with experiment.

References in corpus (5)

• Rapidly Rotating Atomic Gases
• Spontaneous vortices in the formation of Bose-Einstein condensates
• Observation of persistent flow of a Bose-Einstein condensate in a toroidal trap
• Lowest Landau-level description of a Bose-Einstein condensate in a rapidly rotating anisotropic trap
• Lowest Landau Level vortex structure of a Bose-Einstein condensate rotating in a harmonic plus quartic trap

Cited by in corpus (15)

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• Critical Rotation of an Annular Superfluid Bose Gas
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• Engineering Dark Solitary waves in Ring-Trap Bose-Einstein condensates
• Vortex Dynamics in an Annular Bose-Einstein Condensate
• Spin-orbit-coupled spin-1 Bose-Einstein condensates in a toroidal trap: even-petal-number necklacelike state and persistent flow
• Hidden vortices and Feynman rule in Bose-Einstein condensates with density-dependent gauge potential
• Rotation quenches in trapped bosonic systems
• Non existence of vortices in the small density region of a condensate
• Numerical simulation of the Gross-Pitaevskii equation via vortex tracking
• Parametric triggering of vortices in toroidally trapped rotating Bose-Einstein condensates
• Hydrodynamics of compressible superfluids in confined geometries
• The Finite Element Method for the time-dependent Gross-Pitaevskii equation with angular momentum rotation
• Annular Bose-Einstein Condensates in the Lowest Landau Level