Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling

doi:10.1088/1674-1056/25/4/040305

中国物理B ›› 2016, Vol. 25 ›› Issue (4): 40305-040305.doi: 10.1088/1674-1056/25/4/040305

Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling

Shu-Wei Song(宋淑伟), Rui Sun(孙蕊), Hong Zhao(赵洪), Xuan Wang(王暄), Bao-Zhong Han(韩宝忠)

1 State Key Laboratory Breeding Base of Dielectrics Engineering, Harbin University of Science and Technology, Harbin 150080, China;
2 Key Laboratory of Engineering Dielectrics and Its Application, Ministry of Education, Harbin University of Science and Technology, Harbin 150080, China;
3 College of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin 150080, China

收稿日期:2015-11-06 修回日期:2015-12-16 出版日期:2016-04-05 发布日期:2016-04-05
通讯作者: Shu-Wei Song E-mail:japical@live.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11447178).

Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling

Shu-Wei Song(宋淑伟)^1,2,3, Rui Sun(孙蕊)^1,2,3, Hong Zhao(赵洪)^1,2,3, Xuan Wang(王暄)^1,2,3, Bao-Zhong Han(韩宝忠)^1,2,3

1 State Key Laboratory Breeding Base of Dielectrics Engineering, Harbin University of Science and Technology, Harbin 150080, China;
2 Key Laboratory of Engineering Dielectrics and Its Application, Ministry of Education, Harbin University of Science and Technology, Harbin 150080, China;
3 College of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin 150080, China

Received:2015-11-06 Revised:2015-12-16 Online:2016-04-05 Published:2016-04-05
Contact: Shu-Wei Song E-mail:japical@live.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11447178).

摘要/Abstract

摘要：

Starting from the Hamiltonian of the second quantization form, the weakly interacting Bose-Einstein condensate with spin-orbit coupling of Weyl type is investigated. It is found that the SU(2) nonsymmetric term, i.e., the spin-dependent interaction, can lift the degeneracy of the ground states with respect to the z component of the total angular momentum J_z, casting the ground condensate state into a configuration of zero J_z. This ground state density profile can also be affirmed by minimizing the full Gross-Pitaevskii energy functional. The spin texture of the zero J_z state indicates that it is a knot structure, whose fundamental group is π₃(M)？？？040305？？？？π₃(S²)=Z.

关键词: Bose-Einstein condensate, spin-orbit coupling, knot

Abstract:

Key words: Bose-Einstein condensate, spin-orbit coupling, knot

中图分类号: (Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)

03.75.Lm

03.75.Mn (Multicomponent condensates; spinor condensates) 67.85.Fg (Multicomponent condensates; spinor condensates) 67.85.Jk (Other Bose-Einstein condensation phenomena)

宋淑伟, 孙蕊, 赵洪, 王暄, 韩宝忠. Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling[J]. 中国物理B, 2016, 25(4): 40305-040305.

Shu-Wei Song(宋淑伟), Rui Sun(孙蕊), Hong Zhao(赵洪), Xuan Wang(王暄), Bao-Zhong Han(韩宝忠). Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling[J]. Chin. Phys. B, 2016, 25(4): 40305-040305.

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Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling

Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling

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