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Weakly interacting spinor Bose–Einstein condensates with three-dimensional spin–orbit coupling
引用本文: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.
作者姓名:宋淑伟  孙蕊  赵洪  王暄  韩宝忠
作者单位: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
基金项目:Project supported by the National Natural Science Foundation of China (Grant No. 11447178).
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 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)???040305????π3(S2)=Z.

收稿时间:2015-11-06

Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling
Institution: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
Abstract:
Keywords:Bose-Einstein condensate  spin-orbit coupling  knot  
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