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Singularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates
Liu, YM; He, YZ; Bao, CG; Bao, CG (reprint author), Sun Yat Sen Univ, Sch Phys, Guangzhou, Guangdong, Peoples R China.
2017
发表期刊SCIENTIFIC REPORTS
卷号7页码:6585
文章类型Article
摘要An approach is proposed to solve the coupled Gross-Pitaevskii equations (CGP) of the 3-species BEC in an analytical way under the Thomas-Fermi approximation (TFA). It was found that, when the strength of a kind of interaction increases and crosses over a critical value, a specific type of state-transition will occur and will cause a jump in the total energy. Due to the jump, the energy of the lowest symmetric state becomes considerably higher. This leaves a particular opportunity for the lowest asymmetric state to replace the symmetric states as the ground state. It was further found that the critical values are related to the singularity of either the matrix or a sub-matrix of the CGP. These critical values are not arising from the TFA but inherent in the CGP, and they can be analytically expressed. Furthermore, a model (in which two kinds of atoms separated from each other asymmetrically) has been proposed for the evaluation of the energy of the lowest asymmetric state. With this model the emergence of the asymmetric ground state is numerically confirmed under the TFA. The theoretical formalism of this paper is quite general and can be generalized for BEC with more than three species.
学科领域Science & Technology - Other Topics
资助者National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601]
DOIhttp://dx.doi.org/10.1038/s41598-017-06843-3
关键词[WOS]BINARY-MIXTURES ; BOSE
语种英语
资助者National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; National Natural Science Foundation of China [11372122, 11274393, 11574404, 11275279] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China [Y4KF201CJ1] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601] ; National Basic Research Program of China [2013CB933601]
WOS类目Multidisciplinary Sciences
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22005
专题理论物理所SCI论文
通讯作者Bao, CG (reprint author), Sun Yat Sen Univ, Sch Phys, Guangzhou, Guangdong, Peoples R China.
推荐引用方式
GB/T 7714
Liu, YM,He, YZ,Bao, CG,et al. Singularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates[J]. SCIENTIFIC REPORTS,2017,7:6585.
APA Liu, YM,He, YZ,Bao, CG,&Bao, CG .(2017).Singularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates.SCIENTIFIC REPORTS,7,6585.
MLA Liu, YM,et al."Singularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates".SCIENTIFIC REPORTS 7(2017):6585.
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