摘要
利用变分近似及基于Gross-Pitaevskii方程的直接数值模拟方法,研究了自旋-轨道耦合玻色-爱因斯坦凝聚体中线性塞曼劈裂对亮孤子动力学的影响,发现线性塞曼劈裂将导致体系具有两个携带有限动量的静态孤子,以及它们在微扰下存在一个零能的Goldstone激发模和一个频率与线性塞曼劈裂有关的谐振激发模.同时给出了描述孤子运动的质心坐标表达式,发现线性塞曼劈裂明显影响孤子的运动速度和振荡周期.
Solitons as self-supported solitary waves are one of the most fundamental objects in nonlinear science.With the realization of Bose-Einstein condensate,matter-wave solitons have aroused enormous interest due to their potential applications in atomic transport and atomic interferometer.In recent years,the artificial spin-orbit coupling has been realized in ultracold atoms,thus providing a new platform to study the nonlinear matter wave solitons under a gauge field,and a variety of novel soliton phenomena have been successively predicted.In this paper,we analyze the effects of linear Zeeman splitting on the dynamics of bright-bright solitons in spinorbit coupled two-component Bose-Einstein condensate,via the variational approximation and the numerical simulation of Gross-Pitaevskii(GP)equations.For the SU(2)spin-rotational invariant attractive atomic interaction in a uniform case without external trap,we take a hyperbolic secant function as the variational Ansatz for bright soliton in variational approximation,and derive the Euler-Lagrange equations describing the evolution of the Ansatz parameters.By solving the time-independent Euler-Lagrange equations,we find two stationary solitons each with a finite momentum for a weak spin-orbit coupling due to the linear Zeeman splitting.Linearizing the Euler-Lagrange equations around these stationary solitons,we further obtain a zeroenergy Goldstone mode and an oscillation mode with frequency related to linear Zeeman splitting:the former indicates that the continuous translational symmetry of the stationary solitons will be broken under a perturbation,and the later shows that the stationary solitons will oscillate under a perturbation.Furthermore,by solving the time-dependent Euler-Lagrange equations,we also obtain the exact full dynamical solutions of Ansatz parameters,and observe that the linear Zeeman splitting affects the period and velocity of soliton’s oscillation and linear motion,which may provide a new method to control the dynamics of solitons.All the variational calculations are also confirmed directly by the numerical simulation of GP equations.
作者
文林
梁毅
周晶
余鹏
夏雷
牛连斌
张晓斐
Wen Lin;Liang Yi;Zhou Jing;Yu Peng;Xia Lei;Niu Lian-Bin;Zhang Xiao-Fei(College of Physics and Electronic Engineering,Chongqing Normal University,Chongqing 401331,China;Department of Science,Chongqing University of Posts and Telecommunications,Chongqing 400065,China;Key Laboratory of Time and Frequency Primary Standards,National Time Service Center,Chinese Academy of Sciences,Xi’an 710600,China)
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2019年第8期56-64,共9页
Acta Physica Sinica
基金
国家自然科学基金(批准号:11875010
11504037
11775253
11504038
61874016
11504035)
重庆市教委科学技术研究项目(批准号:KJ1500411
KJ1600307)
重庆市前沿与应用基础研究计划一般项目(批准号:cstc2015jcyjA00013)
重庆市高等教育创新群体项目(批准号:CXTDX201601016)
重庆市科技领军人才支持计划(批准号:cstc2018kjcxljrc0050)资助的课题~~
