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玻色-爱因斯坦凝聚体中的双孤子相互作用操控
引用本文:何章明,张志强.玻色-爱因斯坦凝聚体中的双孤子相互作用操控[J].物理学报,2016,65(11):110502-110502.
作者姓名:何章明  张志强
作者单位:1. 湖南工业大学理学院, 株洲 412007; 2. 郑州科技学院基础部, 郑州 450064
基金项目:国家自然科学基金(批准号: 11447223, 11505054)、湖南省教育厅一般项目(批准号: 14C0348), 理论物理国家重点实验室开放课题(批准号: Y4KF211CJ1)和河南省教育厅科学技术研究重点项目 (批准号: 14B140014)资助的课题.
摘    要:考虑周期性驱动线性势, 利用Darboux变换法解析地研究了玻色-爱因斯坦凝聚体(BEC)中的双孤子相互作用, 得到了S-波散射长度的临界值. 结果表明: 当S-波散射长度高于临界值时, BEC中的两个亮孤子相互吸引并融合; 而当S-波散射长度低于临界值时, 两个亮孤子保持局域稳定. 此外, 在外部势阱的驱动下, 两个稳定的亮孤子产生周期性振荡行为.

关 键 词:玻色-爱因斯坦凝聚  孤子  S-波散射长度
收稿时间:2016-01-04

Controlling interactions between bright solitons in Bose-Einstein condensate
He Zhang-Ming,Zhang Zhi-Qiang.Controlling interactions between bright solitons in Bose-Einstein condensate[J].Acta Physica Sinica,2016,65(11):110502-110502.
Authors:He Zhang-Ming  Zhang Zhi-Qiang
Institution:1. College of Science, Hunan University of Technology, Zhuzhou 412007, China; 2. Department of Basic Course, Zhengzhou College of Science and Technology, Zhengzhou 450064, China
Abstract:Considering the periodically driving linear potential, we study the interactions between two solitons in Bose-Einstein condensate (BEC). By using Darboux transformation, the double bright soliton solution of Gross-Pitaevskii equation is obtained. Then we numerically calculate the properties of interaction between the two bright solitons in BEC, and obtain a critical value of the S-wave scattering length (SL). It is shown that, when the SL is more than the critical value, the attractive interaction and the atom transfer between two bright solitons can be observed. While the SL is less than the critical value, two bright solitons can keep stable and localized. Furthermore, the stable periodic oscillations of two solitons can be observed by slowly changing the potential. These results will be conducive to the BEC soliton experiments.
Keywords:Bose-Einstein condensates  bright solitons  S-wave scattering length
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