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International Conference on Computational Intelligence and Natural Computing (CINC)

On the case of the evolution of three vortices in BEC

Yimin Tian

Published Sep 1, 2010• 0 citations
Publisher

Abstract

For a Bose-Einstein Condensate placed in a rotating trap and confined in the z axis, a kind of symplectic difference schemes was used to investigate the evolution of vortices of BEC in this paper. The case of the evolution of three vortices in BEC was imitated by numerical experiment.
DOI
10.1109/cinc.2010.5643837

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We consider a rotating Bose-Einstein condensate in a harmonic trap and investigate numerically the behavior of the wave function which solves the Gross-Pitaevskii equation. Following recent experiments [P. Rosenbuch, V. Bretin, and J. Dalibard, Phys. Rev. Lett. 89, 200403 (2002)], we study in detail the line of a single quantized vortex, which has a U or S shape. We find that a single vortex can lie only in the $x\ensuremath{-}z$ or $y\ensuremath{-}z$ plane. S-type vortices exist for all values of the angular velocity $\ensuremath{\Omega}$ while U vortices exist for $\ensuremath{\Omega}$ sufficiently large. We compute the energy of the various configurations with several vortices and study the three-dimensional structure of vortices.
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