Dynamics of vortices in two-dimensional Bose-Einstein condensates

Shu-Ming Chang*, Wen-Wei Lin, Tai Chia Lin

*Corresponding author for this work

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We derive the asymptotic motion equations of vortices for the time-dependent Gross-Pitaevskii equation with a harmonic trap potential. The asymptotic motion equations form a system of ordinary differential equations which can be regarded as a perturbation of the standard Kirchhoff problem. From the numerical simulation on the asymptotic motion equations, we observe that the bounded and collisionless trajectories of three vortices form chaotic, quasi 2- or quasi 3-periodic orbits. Furthermore, a new phenomenon of 1:1-topological synchronization is observed in the chaotic trajectories of two vortices.

Original languageEnglish
Pages (from-to)739-764
Number of pages26
JournalInternational Journal of Bifurcation and Chaos in Applied Sciences and Engineering
Volume12
Issue number4
DOIs
StatePublished - 1 Jan 2002

Keywords

  • Bose-Einstein condensates
  • Topological synchronization
  • Vortices

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