Dynamics of Bright/Dark Solitons in Bose-Einstein Condensates with Time-Dependent Scattering Length and External Potential  

作　　者：张爱霞 薛具奎 

机构地区：[1]Physics and Electronics Engineering College, Northwest Normal University, Lanzhou 730070

出　　处：《Chinese Physics Letters》2008年第1期39-41,共3页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 10774120 and 10475066, the Natural Science Foundation of Gansu Province under Grant No 3ZS051-A25-013, and the Creation of Science and Technology of Northwest Normal University under Grant No NWNU-KJCXGC-03-17

摘　　要：We present an analytical study on the dynamics of bright and dark solitons in Bose-Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross-Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton＇s parameters （amplitude, width, and period） can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.We present an analytical study on the dynamics of bright and dark solitons in Bose-Einstein condensates with time-varying atomic scattering length in a time-varying external parabolic potential. A set of exact soliton solutions of the one-dimensional Gross-Pitaevskii equation are obtained, including fundamental bright solitons, higher-order bright solitons, and dark solitons. The results show that the soliton＇s parameters （amplitude, width, and period） can be changed in a controllable manner by changing the scattering length and external potential. This may be helpful to design experiments.

关 键 词：MATTER WAVES COMPRESSION 

分 类 号：O41[理学—理论物理]