Acta mathematica scientia,Series B ›› 2009, Vol. 29 ›› Issue (3): 751-776.doi: 10.1016/S0252-9602(09)60069-2

• Articles • Previous Articles    

SKYRMIONS IN GROSS-PITAEVSKII FUNCTIONALS

Fanghua Lin,Taichia Lin,Juncheng Wei   

  1. Courant Institute of Mathematical Sciences, New York University, New York, USA;Department of Mathematics, National Taiwan University, Taipei, Taiwan 106|Taida Institute of Mathematical Sciences (TIMS), Taipei, Taiwan, China;Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong, China
  • Received:2008-12-26 Online:2009-05-20 Published:2009-05-20
  • Supported by:

    The research of FHL is partially supported by the NSF grant under DMS 0700517, TCL is partially supported by a research Grant from NSC and NCTS (National Center of Theoretical Sciences) of Taiwan, and JCW is partially supported by a General Research Fund from RGC of Hong Kong.

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.

Key words: skyrmions, Bose-Einstein condensate, linked vortex rings, localized energy method

CLC Number: 

  • 35J60
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