Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates

doi:10.7498/aps.68.20182013

NTSC-IR

	Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates
	Wen Lin 1; Liang Yi 1; Zhou Jing 2; Yu Peng 1; Xia Lei 1; Niu Lian-Bin 1; Zhang Xiao-Fei3
	2019-04-20
发表期刊	ACTA PHYSICA SINICA
ISSN	1000-3290
卷号	68 期号:8 页码:9
摘要	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 spin-orbit 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 zero-energy 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.
关键词	soliton Bose-Einstein condensate Gross-Pitaevskii equation spin-orbit coupling
资助者	National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China
DOI	10.7498/aps.68.20182013
关键词[WOS]	DARK SOLITONS
语种	英语
资助项目	National Natural Science Foundation of China[11875010] ; National Natural Science Foundation of China[11504037] ; National Natural Science Foundation of China[11775253] ; National Natural Science Foundation of China[11504038] ; National Natural Science Foundation of China[61874016] ; National Natural Science Foundation of China[11504035] ; Foundation of Education Committees of Chongqing, China[KJ1500411] ; Foundation of Education Committees of Chongqing, China[KJ1600307] ; Chongqing Research Program of Basic Research and Frontier Technology, China[cstc2015jcyjA00013] ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China[CXTDX201601016] ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China[cstc2018kjcxljrc0050]
资助者	National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Foundation of Education Committees of Chongqing, China ; Foundation of Education Committees of Chongqing, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Chongqing Research Program of Basic Research and Frontier Technology, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Foundation for the Creative Research Groups of Higher Education of Chongqing, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China ; Chongqing Science and Technology Innovation Leading Talents Support Plan, China
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000465188400003
出版者	CHINESE PHYSICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://210.72.145.45/handle/361003/11901
专题	中国科学院国家授时中心
通讯作者	Zhang Xiao-Fei
作者单位	1.Chongqing Normal Univ, Coll Phys & Elect Engn, Chongqing 401331, Peoples R China 2.Chongqing Univ Posts & Telecommun, Dept Sci, Chongqing 400065, Peoples R China 3.Chinese Acad Sci, Natl Time Serv Ctr, Key Lab Time & Frequency Primary Stand, Xian 710600, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Wen Lin,Liang Yi,Zhou Jing,et al. Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates[J]. ACTA PHYSICA SINICA,2019,68(8):9.
APA	Wen Lin.,Liang Yi.,Zhou Jing.,Yu Peng.,Xia Lei.,...&Zhang Xiao-Fei.(2019).Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates.ACTA PHYSICA SINICA,68(8),9.
MLA	Wen Lin,et al."Effects of linear Zeeman splitting on the dynamics of bright solitons in spin-orbit coupled Bose-Einstein condensates".ACTA PHYSICA SINICA 68.8(2019):9.