耦合非线性薛定谔方程在凝聚体中的应用  

Application of the Coupled Nonlinear Schrödinger Equations in Condensate

作　　者：杨晓红 连高社 YANG Xiao-hong LIAN Gao-she(Department of Science,Taiyuan Institute of Technology,Taiyuan Shanxi,030008)

机构地区：[1]太原工业学院理学系,山西太原030008

出　　处：《山西大同大学学报（自然科学版）》2021年第6期36-39,45,共5页Journal of Shanxi Datong University(Natural Science Edition)

基　　金：太原工业学院院基金项目[16/00007106]。

摘　　要：以旋量玻色-爱因斯坦凝聚体为背景,介绍了描述原子由两种超精细态组成的旋量玻色-爱因斯坦凝聚系统的二耦合变系数非线性薛定谔方程。其次利用Hirota双线性变换,构造新的变换求得方程的孤子解.进一步对孤子解的参量取值得到孤子的密度分布函数,利用Maple作图。最后根据孤子演化图像分析孤子的传输特性和稳定性。为进一步实现量子信息传输提供一定的理论依据。In the background of Spinor BEC,the two coupled variable coefficient nonlinear Schrödinger equation describing the spinor Bose Einstein condensation system composed of two hyperfine States is introduced.Secondly,bright matter wave soliton solutions are obtained by new transformations via extended F-expansion method.Thirdly,density distribution function of soliton are obtained by assigning parameters of soliton solutions and are numerically simulated by Maple.Finally,the stabilization of soliton are analyzed by evolution images.It provides a theoretical basis to realize quantum information transmission.

关 键 词：旋量玻色-爱因斯坦凝聚体 耦合 非线性薛定谔方程 

分 类 号：O193[理学—数学]