Dynamics of Bose-Einstein condensates near Feshbach resonance in external potential

被引:10
作者
Zhang, Xiao-fei [1 ,2 ]
Hu, Xing-hua [1 ]
Wang, Deng-shan [1 ]
Liu, Xun-xu [1 ]
Liu, Wu-ming [1 ]
机构
[1] Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
[2] Honghe Univ, Coll Sci, Mengzi 661100, Peoples R China
基金
中国国家自然科学基金;
关键词
Bose-Einstein condensate; Feshbach resonance; soliton; DARK-BRIGHT SOLITONS; SCATTERING; COLLISIONS;
D O I
10.1007/s11467-010-0150-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review our recent theoretical advances in the dynamics of Bose-Einstein condensates with tunable interactions using Feshbach resonance and external potential. A set of analytic and numerical methods for Gross-Pitaevskii equations are developed to study the nonlinear dynamics of Bose-Einstein condensates. Analytically, we present the integrable conditions for the Gross-Pitaevskii equations with tunable interactions and external potential, and obtain a family of exact analytical solutions for one-and two-component Bose-Einstein condensates in one and two-dimensional cases. Then we apply these models to investigate the dynamics of solitons and collisions between two solitons. Numerically, the stability of the analytic exact solutions are checked and the phenomena, such as the dynamics and modulation of the ring dark soliton and vector-soliton, soliton conversion via Feshbach resonance, quantized soliton and vortex in quasi-two-dimensional are also investigated. Both the exact and numerical solutions show that the dynamics of Bose-Einstein condensates can be effectively controlled by the Feshbach resonance and external potential, which offer a good opportunity for manipulation of atomic matter waves and nonlinear excitations in Bose-Einstein condensates.
引用
收藏
页码:46 / 60
页数:15
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