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

Amandine Aftalion and Peter Mason
Phys. Rev. A 81, 023607 – Published 11 February 2010

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 Bretin et al. [Phys. Rev. Lett. 92, 5 (2004)]. The rotational frequency Ω has to stay below the trapping frequency ω of the harmonic potential and we find that the condensate has an annular shape containing a triangular vortex lattice. As Ω approaches ω, 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 in the Thomas-Fermi limit, providing an analysis that is consistent with experiment.

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  • Received 4 November 2009

DOI:https://doi.org/10.1103/PhysRevA.81.023607

©2010 American Physical Society

Authors & Affiliations

Amandine Aftalion and Peter Mason

  • Ecole Polytechnique, CMAP, UMR-CNRS 7198, F-91128 Palaiseau cedex, France

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Issue

Vol. 81, Iss. 2 — February 2010

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