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 inChinese physics B Vol. 25; no. 4; pp. 63 - 68
Main Author 宋淑伟 孙蕊 赵洪 王暄 韩宝忠
Format Journal Article
LanguageEnglish
Published 01.04.2016
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/25/4/040305

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Summary: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.
Bibliography: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.
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content type line 23
ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/25/4/040305