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arXiv · 0712.4217

A vortex dipole in a trapped two-dimensional Bose-Einstein condensate

Weibin Li·Masudul Haque·Stavros Komineas
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Abstract

We study the conservative dynamics and stationary configurations of a vortex-antivortex pair in a harmonically trapped two-dimensional Bose-Einstein condensate. We establish the conceptual framework for understanding the stationary states and the topological defect trajectories, through considerations of different mechanisms of vortex motion and the bifurcation of soliton-like stationary solutions. Our insights are based on Lagrangian-based variational calculations, numerical solutions of both the time-dependent and time-independent Gross-Pitaevskii equations, and exact solutions for the non-interacting case.

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Weibin Li, Masudul Haque, Stavros Komineas. 2008-09-11. A vortex dipole in a trapped two-dimensional Bose-Einstein condensate. https://doi.org/10.1103/physreva.77.053610

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