异核两组分玻色-爱因斯坦凝聚体中矢量孤子的动力学性质  

The Dynamics of Vector Soliton in Heteronuclear Two-component Bose-Einstein Condensates

作　　者：冯雪霖 张素英[1] 

机构地区：[1]山西大学理论物理研究所,山西太原030006

出　　处：《山西大同大学学报（自然科学版）》2014年第2期33-38,共6页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：国家自然科学基金[10972125];高等学校博士学科点专项科研基金[20111401110004];山西省自然科学基金[2010011001-2]

摘　　要：本文基于准一维异核两组分玻色-爱因斯坦凝聚体的Gross-Pitaevskii(GP)方程,通过数值方法研究了亮-亮孤子和亮-暗孤子在不同的相对相位下的碰撞问题。没有外部势阱的束缚时,若亮-亮孤子的相对相位是π,它们会产生完全弹性碰撞,当相对相位是π2时亮-亮孤子对碰撞会产生能量的转移。若存在外部势阱,其相对相位为π时亮-亮孤子对产生了周期性碰撞,而相对相位是π2时亮-亮孤子对碰撞合并成一个孤子,并伴随有能量逃逸。对于亮-暗孤子,其相对相位为0或π时第一组分的亮-亮孤子对均发生了周期性碰撞,不同的是前者有一个碰撞点,后者则有两个碰撞点。进而,通过求解相应的Bogoliubov-de Gennes方程研究发现亮-亮孤子总是稳定的,而暗-暗孤子不稳定。We have numerically studied the head-on collisions of the bright-bright solitons and bright-dark solitons with different relative phases, based on Gross-Pitaevskii（GP） equation of the quasi-one-dimensional heteronuclear two-component Bose-Einstein condensates. If there is no external potential well, the relative phase zc leads to elastic collision of the bright-bright solitons, but they collide with each other accompanied by some energy transfer for the relative phase π /2. If there is external potential well, they collide periodically with the relative phase π, but with the relative phase π /2, the two solitons combine to one soliton after collision with energy escape. For the bright-dark solitons, their bright-bright solitons in the first component collide periodically with the relative phase 0 or π. The difference of them is that the former has one collision point, the latter two collision points. Furthermore, we have found that the bright-bright solitons are always stable and the bright-dark solitons are unstable by solving its co～esponding Bogoliubov-de Gennes equations.

关 键 词：异核两组分玻色-爱因斯坦凝聚体 相对相位 亮-亮孤子对碰撞 稳定性 

分 类 号：O413.1[理学—理论物理]