Vortex-ring solutions of the Gross-Pitaevskii equation for an axisymmtrically trapped Bose-Einstein condensate

C. H. Hsueh, S. C. Gou, T. L. Horng, Y. M. Kao

Research output: Contribution to journalArticle

12 Citations (Scopus)


We propose a numerical scheme for obtaining the stationary vortex-ring solutions of the Gross-Pitaevskii (GP) equation for an axisymmetrically trapped Bose-Einstein condensate (BEC). The effective energy functional and the associated GP equation are derived by assuming a trial phase profile for the wavefunction that is subject to the condition of circulation quantization on the rz plane. The wavefunction of the vortex ring is determined by solving the ground state of the effective GP equation numerically. Application of our method to the formation of a three-dimensional Skyrmion in a trapped two-component BEC is demonstrated.

Original languageEnglish
Pages (from-to)4561-4571
Number of pages11
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Issue number24
Publication statusPublished - 2007 Dec 28


All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics

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