English

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

Other Condensed Matter 2009-06-10 v2 Mesoscale and Nanoscale Physics

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.

Keywords

Cite

@article{arxiv.0712.4217,
  title  = {A vortex dipole in a trapped two-dimensional Bose-Einstein condensate},
  author = {Weibin Li and Masudul Haque and Stavros Komineas},
  journal= {arXiv preprint arXiv:0712.4217},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T09:57:46.895Z