利用推广Gross-Pitaevskii方程,分别研究了(2+1)维时空和3维空间的Bose-Ein stein凝聚体中涡旋的拓扑结构. 这一推广的方程能够被用于非均匀并且高度非线形的Bose-Einstein凝聚系统. 利用Φ映射拓扑流理论,给出了基于序参数的涡旋速度场,以及该速度场的拓扑结构. 最后,仔细地探讨了这两种Bose-Einstein系统中涡旋的各种分支条件.
We studied the topological structure of vortex in the Bose-Einstein condensation with a generalized Gross-Pitaevskii equation in (2+1)-dimensional space-time and 3-dimensional space, respectively. Such equation can be used in discussing Bose-Einstein condensates in heterogeneous and highly nonlinear systems. An explicit expression for the vortex velocity field as a function of the order parameter field is derived in terms of the Φ-mapping theory,and the topological structure of the velocity field is studied. At last,the branch conditions for generating, annihilating,crossing,splitting and merging of vortex in two kinds of Bose-Einstein systems are given.
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