Three-dimensional solitons in two-component Bose-Einstein condensates

We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R2 × S1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional （3D） skyrmion and knot, which is...

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Published inChinese physics B Vol. 23; no. 11; pp. 198 - 201
Main Author 刘永恺 杨师杰
Format Journal Article
LanguageEnglish
Published 01.11.2014
Subjects
Bose-Einstein condensates
Evolution
Invariants
Mathematical analysis
Particle theory
Solitons
Surface layer
Texture
Three dimensional
三维
凝聚体
双组分
孤子
拓扑结构
数值验证
爱因斯坦
玻色
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/23/11/110308

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Summary:We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R2 × S1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional （3D） skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross-Pitaevskii equations in imaginary time.
Bibliography:Liu Yong-Kai and Yang Shi-Jie（ a） Department of Physics, Beijing Normal University, Beijing 100875, China b） State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
two-component Bose-Einstein condensates, three-dimensional （3D） soliton, coupled Gross-Pitaevskii equations, Hopfion
11-5639/O4
We investigate a kind of solitons in the two-component Bose-Einstein condensates with axisymmetric configurations in the R2 × S1 space. The corresponding topological structure is referred to as Hopfion. The spin texture differs from the conventional three-dimensional （3D） skyrmion and knot, which is characterized by two homotopy invariants. The stability of the Hopfion is verified numerically by evolving the Gross-Pitaevskii equations in imaginary time.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/23/11/110308