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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 |
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Abstract 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 Jz, casting the ground condensate state into a configuration of zero Jz. This ground state density profile can also be affirmed by minimizing the full Gross-Pitaevskii energy functional. The spin texture of the zero Jz state indicates that it is a knot structure, whose fundamental group is π3(M).jpg) π3(S2)=Z.
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Received: 06 November 2015
Revised: 16 December 2015
Accepted manuscript online:
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PACS:
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03.75.Lm
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(Tunneling, Josephson effect, Bose-Einstein condensates in periodic potentials, solitons, vortices, and topological excitations)
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03.75.Mn
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(Multicomponent condensates; spinor condensates)
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67.85.Fg
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(Multicomponent condensates; spinor condensates)
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67.85.Jk
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(Other Bose-Einstein condensation phenomena)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11447178). |
Corresponding Authors:
Shu-Wei Song
E-mail: japical@live.cn
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Cite this article:
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 2016 Chin. Phys. B 25 040305
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