Dynamics and stability of stationary states for the spin-1 Bose-Einstein condensates in a standing light wave
文献类型：期刊论文
| 作者 | Wang, Deng-Shan1,2; Han, Wei3; Shi, Yuren4; Li, Zaidong5; Liu, Wu-Ming6 |
| 刊名 | COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
 |
| 出版日期 | 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. |
| WOS关键词 | NONLINEAR SCHRODINGER-EQUATION ; GASES |
| 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研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000370005100005 |
| 出版者 | ELSEVIER SCIENCE BV |
| 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 |
| 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. |
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来源：国家授时中心
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