推广的Gross-Pitaevskii理论中的涡旋问题(英文)  

Vortex in Generalized Gross-Pitaevskii Theory

作　　者：段一士[1] 张鹏鸣[1] 

机构地区：[1]兰州大学理论物理研究所,甘肃兰州730000

出　　处：《原子核物理评论》2001年第4期225-231,共7页Nuclear Physics Review

基　　金：国家自然科学基金资助项目 ( 19775 0 2 1) ;教育部博士学科点专项基金资助项目~~

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 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.

关 键 词：GROSS-PITAEVSKII方程 涡旋问题 Φ映身拓扑流理论 分岔 拓扑结构 BOSE-EINSTEIN凝聚体 涡旋速度场 拓扑结构 

分 类 号：O41[理学—理论物理] O469[理学—物理]