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

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

2007-12-27

arxiv.org/abs/0712.4217v2

Phys. Rev. A 77, 053610 (2008)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 8 figures. In v2, some details are moved to Appendix

Scientific paper

10.1103/PhysRevA.77.053610

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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