Localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with time–space modulation

doi:10.1088/1361-6455/aabc03

NTSC-IR

	Localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with time–space modulation
	Yao,Yu-Qin 1; Han,Wei 2; Li,Ji 3; Liu,Wu-Ming 3
	2018-04-25
发表期刊	Journal of Physics B: Atomic, Molecular and Optical Physics
ISSN	0953-4075
卷号	51 期号:10
摘要	Abstract Nonlinearity is one of the most remarkable characteristics of Bose–Einstein condensates (BECs). Much work has been done on one- and two-component BECs with time- or space-modulated nonlinearities, while there is little work on spinor BECs with space–time-modulated nonlinearities. In the present paper we investigate localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with nonlinearities dependent on time and space. We solve the three coupled Gross–Pitaevskii equations by similarity transformation and obtain two families of exact matter wave solutions in terms of Jacobi elliptic functions and the Mathieu equation. The localized states of the spinor matter wave describe the dynamics of vector breathing solitons, moving breathing solitons, quasi-breathing solitons and resonant solitons. The results show that one-order vector breathing solitons, quasi-breathing solitons, resonant solitons and the moving breathing solitons ψ±1 are all stable, but the moving breathing soliton ψ0 is unstable. We also present the experimental parameters to realize these phenomena in future experiments.
关键词	spinor Bose–Einstein condensates time–space modulation localized nonlinear waves dynamical stability
DOI	10.1088/1361-6455/aabc03
语种	英语
WOS记录号	IOP:0953-4075-51-10-aabc03
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://210.72.145.45/handle/361003/10702
专题	中国科学院国家授时中心
作者单位	1.Department of Applied Mathematics, China Agricultural University, Beijing 100083, People’s Republic of China 2.Key Laboratory of Time and Frequency Primary Standards, National Time Service Center, Chinese Academy of Sciences, Xian 710600, People’s Republic of China 3.Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
推荐引用方式 GB/T 7714	Yao,Yu-Qin,Han,Wei,Li,Ji,等. Localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with time–space modulation[J]. Journal of Physics B: Atomic, Molecular and Optical Physics,2018,51(10).
APA	Yao,Yu-Qin,Han,Wei,Li,Ji,&Liu,Wu-Ming.(2018).Localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with time–space modulation.Journal of Physics B: Atomic, Molecular and Optical Physics,51(10).
MLA	Yao,Yu-Qin,et al."Localized nonlinear waves and dynamical stability in spinor Bose–Einstein condensates with time–space modulation".Journal of Physics B: Atomic, Molecular and Optical Physics 51.10(2018).