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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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. |
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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. ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1674-1056 2058-3834 1741-4199 |
DOI: | 10.1088/1674-1056/25/4/040305 |