Skyrmions in gross-pitaevskii functionals

Fanghua Lin, Taichia Lin, Juncheng Wei

Research output: Contribution to journalArticlepeer-review

Abstract

In Bose-Einstein condensates (BECs), skyrmions can be characterized by pairs of linking vortex rings coming from two-component wave functions. Here we construct skyrmions by studying critical points of Gross-Pitaevskii functionals with two-component wave functions. Using localized energy method, we rigorously prove the existence, and describe the configurations of skyrmions in such BECs.

Original languageEnglish (US)
Pages (from-to)751-776
Number of pages26
JournalActa Mathematica Scientia
Volume29
Issue number3
DOIs
StatePublished - May 2009

Keywords

  • 35B25
  • 35B38
  • 35J60
  • Bose-Einstein condensate
  • linked vortex rings
  • localized energy method
  • skyrmions

ASJC Scopus subject areas

  • Mathematics(all)
  • Physics and Astronomy(all)

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