Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave

doi:10.1016/j.cnsns.2015.11.018

	Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave
	Wang, Deng-Shan 1,2; Han, Wei 3; Shi, Yuren 4; Li, Zaidong 5; Liu, Wu-Ming 6
刊名	COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
	2016-07-01
卷号	36 页码:45-57
关键词	Spin-1 Rose-Einstein condensates Gross-Pitaevskii equations Stationary solutions Linear stability Dynamical stability
ISSN号	1007-5704
DOI	10.1016/j.cnsns.2015.11.018
英文摘要	The spin-1 Bose-Einstein condensates trapped in a standing light wave can be described by three coupled Gross-Pitaevskii equations with a periodic potential. In this paper, nine families of stationary solutions without phase structures in the form of Jacobi elliptic functions are proposed, and their stabilities are analyzed by both linear stability analysis and dynamical evolutions. Taking the ferromagnetic R7Rb atoms and antiferromagnetic (polar) Na-23 atoms as examples, we investigate the stability regions of the nine stationary solutions, which are given in term of elliptic modulus k. It is shown that for the same stationary solution the stability regions of condensates with antiferromagnetic (polar) spin-dependent interactions are larger than that of the condensates with ferromagnetic ones. The dn-dn-dn stationary solution is the most stable solution among the nine families of stationary solutions. Moreover, in the same standing light wave, the spin-1 Bose-Einstein condensates are more stable than the scalar Bose-Einstein condensate. (C) 2015 Elsevier B.V. All rights reserved.
资助项目	NKBRSFC[2011CB921502] ; NKBRSFC[2012CB821305] ; NSFC[11271362] ; NSFC[61227902] ; NSFC[11375030] ; NSFC[61378017] ; NSFC[11434015] ; SKLQOQOD[KF201403] ; SPRPCAS[XDB01020300] ; Beijing Natural Science Fund Project ; Beijing City Board of Education Science and Technology Key Project[KZ201511232034] ; Beijing Natural Science Foundation[1153004] ; Beijing Nova program[Z131109000413029] ; Beijing Finance Funds of Natural Science Program for Excellent Talents[2014000026833ZK19]
WOS关键词	NONLINEAR SCHRODINGER-EQUATION ; GASES
WOS研究方向	Mathematics ; Mechanics ; Physics
语种	英语
出版者	ELSEVIER SCIENCE BV
WOS记录号	WOS:000370005100005
资助机构	NKBRSFC ; NKBRSFC ; NSFC ; NSFC ; SKLQOQOD ; SKLQOQOD ; SPRPCAS ; SPRPCAS ; Beijing Natural Science Fund Project ; Beijing Natural Science Fund Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing Natural Science Foundation ; Beijing Natural Science Foundation ; Beijing Nova program ; Beijing Nova program ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; NKBRSFC ; NKBRSFC ; NSFC ; NSFC ; SKLQOQOD ; SKLQOQOD ; SPRPCAS ; SPRPCAS ; Beijing Natural Science Fund Project ; Beijing Natural Science Fund Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing Natural Science Foundation ; Beijing Natural Science Foundation ; Beijing Nova program ; Beijing Nova program ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; NKBRSFC ; NKBRSFC ; NSFC ; NSFC ; SKLQOQOD ; SKLQOQOD ; SPRPCAS ; SPRPCAS ; Beijing Natural Science Fund Project ; Beijing Natural Science Fund Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing Natural Science Foundation ; Beijing Natural Science Foundation ; Beijing Nova program ; Beijing Nova program ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; NKBRSFC ; NKBRSFC ; NSFC ; NSFC ; SKLQOQOD ; SKLQOQOD ; SPRPCAS ; SPRPCAS ; Beijing Natural Science Fund Project ; Beijing Natural Science Fund Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing City Board of Education Science and Technology Key Project ; Beijing Natural Science Foundation ; Beijing Natural Science Foundation ; Beijing Nova program ; Beijing Nova program ; Beijing Finance Funds of Natural Science Program for Excellent Talents ; Beijing Finance Funds of Natural Science Program for Excellent Talents
内容类型	期刊论文
源URL	[http://210.72.145.45/handle/361003/11131]
专题	中国科学院国家授时中心
通讯作者	Wang, Deng-Shan
作者单位	1.Beijing Informat Sci & Technol Univ, Sch Sci, Beijing 100192, Peoples R China 2.Univ Shanghai Sci & Technol, Sch Business, Dept Syst Sci, Shanghai 200093, Peoples R China 3.Chinese Acad Sci, Natl Time Serv Ctr, Key Lab Time & Frequency Primary Stand, Xian 710600, Peoples R China 4.Northwest Normal Univ, Coll Phys & Elect Engn, Lanzhou 730070, Peoples R China 5.Hebei Univ Technol, Dept Appl Phys, Tianjin 300101, Peoples R China 6.Chinese Acad Sci, Inst Phys, Beijing Natl Lab Condensed Matter Phys, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Deng-Shan,Han, Wei,Shi, Yuren,et al. Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave[J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,2016,36:45-57.
APA	Wang, Deng-Shan,Han, Wei,Shi, Yuren,Li, Zaidong,&Liu, Wu-Ming.(2016).Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave.COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION,36,45-57.
MLA	Wang, Deng-Shan,et al."Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave".COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION 36(2016):45-57.