科研之友
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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 J(z), casting the ground condensate state into a configuration of zero J(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(z) state indicates that it is a knot structure, whose fundamental group is pi(3)(M) congruent to pi(3) (S-2) = Z.
- 出版日期2016-4
- 单位哈尔滨学院
