A vortex dipole in a trapped two-dimensional Bose-Einstein condensate
arXiv:0712.4217 · doi:10.1103/PhysRevA.77.053610
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.
7 pages, 8 figures. In v2, some details are moved to Appendix