Skyrmions in gross-pitaevskii functionals

Fanghua Lin; Taichia Lin; Juncheng Wei

doi:10.1016/S0252-9602(09)60069-2

Skyrmions in gross-pitaevskii functionals

Fanghua Lin, Taichia Lin, Juncheng Wei

Mathematics

Research output: Contribution to journal › Article › peer-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 language	English (US)
Pages (from-to)	751-776
Number of pages	26
Journal	Acta Mathematica Scientia
Volume	29
Issue number	3
DOIs	https://doi.org/10.1016/S0252-9602(09)60069-2
State	Published - May 2009

Keywords

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

ASJC Scopus subject areas

General Mathematics
General Physics and Astronomy

Access to Document

10.1016/S0252-9602(09)60069-2

Cite this

@article{a3337f42363d401fa77aa1e6ad379855,

title = "Skyrmions in gross-pitaevskii functionals",

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.",

keywords = "35B25, 35B38, 35J60, Bose-Einstein condensate, linked vortex rings, localized energy method, skyrmions",

author = "Fanghua Lin and Taichia Lin and Juncheng Wei",

note = "Funding Information: ∗Received December 26, 2008. 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. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.",

year = "2009",

month = may,

doi = "10.1016/S0252-9602(09)60069-2",

language = "English (US)",

volume = "29",

pages = "751--776",

journal = "Acta Mathematica Scientia",

issn = "0252-9602",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - Skyrmions in gross-pitaevskii functionals

AU - Lin, Fanghua

AU - Lin, Taichia

AU - Wei, Juncheng

N1 - Funding Information: ∗Received December 26, 2008. 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. Copyright: Copyright 2009 Elsevier B.V., All rights reserved.

PY - 2009/5

Y1 - 2009/5

N2 - 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.

AB - 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.

KW - 35B25

KW - 35B38

KW - 35J60

KW - Bose-Einstein condensate

KW - linked vortex rings

KW - localized energy method

KW - skyrmions

UR - http://www.scopus.com/inward/record.url?scp=65449170532&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=65449170532&partnerID=8YFLogxK

U2 - 10.1016/S0252-9602(09)60069-2

DO - 10.1016/S0252-9602(09)60069-2

M3 - Article

AN - SCOPUS:65449170532

SN - 0252-9602

VL - 29

SP - 751

EP - 776

JO - Acta Mathematica Scientia

JF - Acta Mathematica Scientia

IS - 3

ER -

Skyrmions in gross-pitaevskii functionals

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this