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推广的Gross-Pitaevskii理论中的涡旋问题(英文)

段一士, 张鹏鸣

段一士, 张鹏鸣. 推广的Gross-Pitaevskii理论中的涡旋问题(英文)[J]. 原子核物理评论, 2001, 18(4): 225-231. DOI: 10.11804/NuclPhysRev.18.04.225
引用本文: 段一士, 张鹏鸣. 推广的Gross-Pitaevskii理论中的涡旋问题(英文)[J]. 原子核物理评论, 2001, 18(4): 225-231. DOI: 10.11804/NuclPhysRev.18.04.225
DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. DOI: 10.11804/NuclPhysRev.18.04.225
Citation: DUAN Yi-shi, ΖHANG Peng-ming. Vortex in Generalized Gross-Pitaevskii Theory[J]. Nuclear Physics Review, 2001, 18(4): 225-231. DOI: 10.11804/NuclPhysRev.18.04.225

推广的Gross-Pitaevskii理论中的涡旋问题(英文)

Vortex in Generalized Gross-Pitaevskii Theory

  • 摘要: 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- Einstein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 ...
    Abstract: 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 ...
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出版历程
  • 收稿日期:  1899-12-31
  • 修回日期:  1899-12-31
  • 刊出日期:  2001-12-19

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