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SKYRMIONS IN GROSS-PITAEVSKII FUNCTIONALS

SKYRMIONS IN GROSS-PITAEVSKII FUNCTIONALS
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摘要 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. 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.
作者 Taichia Lin
机构地区 Department of Mathematics Taida Institute of Mathematical Sciences (TIMS)
出处 《Acta Mathematica Scientia》 SCIE CSCD 2009年第3期751-776,共26页 数学物理学报（B辑英文版）
基金 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 JCW is partially supported by a General Research Fund from RGC of Hong Kong.
关键词 SKYRMIONS Bose-Einstein condensate linked vortex rings localized energy method skyrmions Bose-Einstein condensate linked vortex rings localized energy method
分类号 O414.2 [理学—理论物理]
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参考文献21

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Acta Mathematica Scientia
2009年 第3期

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