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Two types of phase diagrams for two-species Bose-Einstein condensates and the combined effect of the parameters
Li, ZB; Liu, YM; Yao, DX; Bao, CG; Bao, CG (reprint author), Sun Yat Sen Univ, Sch Phys, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Guangdong, Peoples R China.
2017
发表期刊JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
卷号50期号:13页码:135301
文章类型Article
摘要Under the Thomas-Fermi approximation, an approach is proposed to solve the coupled Gross-Pitaevskii equations (CGP) for the two-species Bose-Einstein condensate analytically. The essence of this approach is to find out the building blocks to build the solution. By introducing the weighted strengths, relatively simpler analytical solutions have been obtained. A number of formulae have been deduced to relate the parameters when the system is experimentally tuned at various status. These formulae demonstrate the combined effect of the parameters, and are useful for the evaluation of their magnitudes. The whole parameter space is divided into zones, where each supports a specific phase. All the boundaries separating these zones have analytical expressions. Based on the division, the phase diagrams against any set of parameters can be plotted. In addition, by introducing a model for the asymmetric states, the total energies of the lowest symmetric and asymmetric states have been compared. Thereby, in which case the former will be replaced by the latter has been evaluated. The CGP can be written in a matrix form. For repulsive inter-species interaction V-AB, when the parameters vary and cross over the singular point of the matrix, a specific state transition will happen and the total energy of the lowest symmetric state will increase remarkably. This provides an excellent opportunity for the lowest asymmetric state to emerge as the ground state. For attractive V-AB, when the parameters tend to a singular point, the system will tend to collapse. The effects caused by the singular points have been particularly studied.
关键词Two-species Bose-einstein Condensate Phase Diagrams For Two-species Condensates CombIned Effect Of The Parameters In Bec Evaluation Of The Parameters In Bec
学科领域Optics ; Physics
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 ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; 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 ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; 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/10.1088/1361-6455/aa7440
关键词[WOS]BINARY-MIXTURES
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 ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; 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 ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; Open Project Program of State Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, China ; 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Optics ; Physics, Atomic, Molecular & Chemical
引用统计
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/22013
专题理论物理所SCI论文
通讯作者Bao, CG (reprint author), Sun Yat Sen Univ, Sch Phys, State Key Lab Optoelect Mat & Technol, Guangzhou 510275, Guangdong, Peoples R China.
推荐引用方式
GB/T 7714
Li, ZB,Liu, YM,Yao, DX,et al. Two types of phase diagrams for two-species Bose-Einstein condensates and the combined effect of the parameters[J]. JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS,2017,50(13):135301.
APA Li, ZB,Liu, YM,Yao, DX,Bao, CG,&Bao, CG .(2017).Two types of phase diagrams for two-species Bose-Einstein condensates and the combined effect of the parameters.JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS,50(13),135301.
MLA Li, ZB,et al."Two types of phase diagrams for two-species Bose-Einstein condensates and the combined effect of the parameters".JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS 50.13(2017):135301.
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