Dynamics of ring dark solitons in Bose-Einstein condensates

doi:10.7498/aps.69.20191424

	Dynamics of ring dark solitons in Bose-Einstein condensates
	Guo Hui 2,3; Wang Ya-Jun 2,3; Wang Lin-Xue 1; Zhang Xiao-Fei 2,3
刊名	ACTA PHYSICA SINICA
	2020-01-05
卷号	69 期号:1 页码:12
关键词	Bose-Einstein condensation ring dark soliton vortex dipole pattern formation
ISSN号	1000-3290
DOI	10.7498/aps.69.20191424
英文摘要	Soliton is an exotic topological excitation, and it widely exists in various nonlinear systems, such as nonlinear optics, Bose-Einstein condensates, classical and quantum fluids, plasma, magnetic materials, etc. A stable soliton can propagate with constant amplitude and velocity, and maintain its shape. Two-dimensional and three-dimensional solitons are usually hard to stabilize, and how to realize stable two-dimensional or three-dimensional solitons has aroused the great interest of the researchers. Ring dark soliton is a kind of two-dimensional soliton, which was first theoretically predicted and experimentally realized in nonlinear optical systems. Compared with the usual two-dimensional solitons, ring dark solitons have good stability and rich dynamical behaviors. Owing to their highly controllable capability, Bose-Einstein condensates provide a new platform for studying the ring dark solitons. Based on the recent progress in Bose-Einstein condensates and solitons, this paper reviews the research on the analytic solutions, stability, as well as the decay dynamics of ring dark solitons in Bose-Einstein condensates. A transform method is introduced, which generalizes the analytic solutions of ring dark solitons from a homogeneous system with time-independent nonlinearity to a harmonically trapped inhomogeneous system with time-dependent nonlinearity. The stability phase diagram of the ring dark soliton under deformation perturbations is discussed by numerically solving the Gross-Pitaevskii equations in the mean-field theory. A method of enhancing the stability of ring dark solitons by periodically modulating the nonlinear coefficients is introduced. It is also shown that the periodically modulated nonlinear coefficient can be experimentally realized by the Feshbach resonance technology. In addition, we discuss the dynamics of the decay of ring dark solitons. It is found that the ring dark soliton can decay into various vortex clusters composed of vortices and antivortices. This opens a new avenue to the investigation of vortex dynamics and quantum turbulence. It is also found that the ring dark solitons combined with periodic modulated nonlinearity can give rise to the pattern formation, which is an interesting nonlinear phenomenon widely explored in all the fields of nature. Finally, some possible research subjects about ring dark solitons in future research are also discussed.
资助项目	National Natural Science Foundation of China[11775253] ; National Natural Science Foundation of China[11704383] ; Natural Science Basic Research Plan of Shaanxi Province, China[2019JQ-058]
WOS关键词	PATTERN-FORMATION ; FESHBACH RESONANCES ; GAS ; SCATTERING ; EQUATION ; BACKLUND ; LIGHT
WOS研究方向	Physics
语种	英语
出版者	CHINESE PHYSICAL SOC
WOS记录号	WOS:000505976500007
资助机构	National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Basic Research Plan of Shaanxi Province, China ; Natural Science Basic Research Plan of Shaanxi Province, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Basic Research Plan of Shaanxi Province, China ; Natural Science Basic Research Plan of Shaanxi Province, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Basic Research Plan of Shaanxi Province, China ; Natural Science Basic Research Plan of Shaanxi Province, China ; National Natural Science Foundation of China ; National Natural Science Foundation of China ; Natural Science Basic Research Plan of Shaanxi Province, China ; Natural Science Basic Research Plan of Shaanxi Province, China
内容类型	期刊论文
源URL	[http://210.72.145.45/handle/361003/9684]
专题	国家授时中心_量子频标研究室
通讯作者	Zhang Xiao-Fei
作者单位	1.Shaanxi Univ Sci & Technol, Dept Arts & Sci, Xian 710021, Peoples R China 2.Univ Chinese Acad Sci, Sch Astron & Space Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Natl Time Serv Ctr, Key Lab Time & Frequency Primary Stand, Xian 710600, Peoples R China
推荐引用方式 GB/T 7714	Guo Hui,Wang Ya-Jun,Wang Lin-Xue,et al. Dynamics of ring dark solitons in Bose-Einstein condensates[J]. ACTA PHYSICA SINICA,2020,69(1):12.
APA	Guo Hui,Wang Ya-Jun,Wang Lin-Xue,&Zhang Xiao-Fei.(2020).Dynamics of ring dark solitons in Bose-Einstein condensates.ACTA PHYSICA SINICA,69(1),12.
MLA	Guo Hui,et al."Dynamics of ring dark solitons in Bose-Einstein condensates".ACTA PHYSICA SINICA 69.1(2020):12.