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Communications in Theoretical Physics

Solitary Vortex Evolution in Two-Dimensional Harmonically Trapped Bose-Einstein Condensates*

Ying 颖 Wang 王, Shuyu Zhou

Published Aug 1, 2018• 0 citations
Publisher

Abstract

Abstract We investigate solitary vortex evolution in two-dimensional Bose-Einstein condensates based on the Gross-Pitaevskii equation model. Through the variational method, together with the novel Gaussian ansatz incorporating asymmetric perturbation effects, we arrive at the analytical solitary vortex solution with two typical forms: a symmetric quasi-stable solution under certain parametric settings and a diverging propagation case arising from an initial asymmetric perturbation. The derived pictorial evolutionary patterns of the solitary vortices are compared with those from a pure numerical analysis, and by identifying the key qualitative features, we show the applicability of the theoretical treatment presented here.

DOI
10.1088/0253-6102/70/2/132

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