Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling
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...
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| Published in | Chinese physics B Vol. 25; no. 4; pp. 63 - 68 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
01.04.2016
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1674-1056 2058-3834 1741-4199 |
| DOI | 10.1088/1674-1056/25/4/040305 |
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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 7173 （M） ≌π3 （S2） = Z. |
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| AbstractList | 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 sub(z), casting the ground condensate state into a configuration of zero J sub( 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 sub(z) state indicates that it is a knot structure, whose fundamental group is pi sub(3)(M) approximately equal to pi sub(3)(S super(2)) = Z. 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 7173 （M） ≌π3 （S2） = Z. |
| Author | 宋淑伟 孙蕊 赵洪 王暄 韩宝忠 |
| AuthorAffiliation | State Key Laboratory Breeding Base of Dielectrics Engineering, Harbin University of Science and Technology, Harbin 150080, China Key Laboratory of Engineering Dielectrics and Its Application, Ministry of Education, Harbin University of Science and Technology, Harbin 150080, China College of Electrical and Electronic Engineering, Harbin University of Science and Technology, Harbin 150080, China |
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| Notes | Bose-Einstein condensate, spin-orbit coupling, knot 11-5639/O4 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 7173 （M） ≌π3 （S2） = Z. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
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| Snippet | Starting from the Hamiltonian of the second quantization form, the weakly interacting Bose-Einstein condensate with spin--orbit coupling of Weyl type is... Starting from the Hamiltonian of the second quantization form, the weakly interacting Bose-Einstein condensate with spin-orbit coupling of Weyl type is... |
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| StartPage | 63 |
| SubjectTerms | Angular momentum Bose-Einstein condensates Ground state Grounds Spin-orbit interactions Surface layer SU（2） Texture Three dimensional 三维 弱相互作用 玻色-爱因斯坦凝聚 玻色爱因斯坦凝聚体 自旋-轨道耦合 自旋结构 自旋轨道耦合 |
| Title | Weakly interacting spinor Bose-Einstein condensates with three-dimensional spin-orbit coupling |
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