Singularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates
文献类型：期刊论文
| 作者 | Liu, YM; He, YZ; Bao, CG; Bao, CG (reprint author), Sun Yat Sen Univ, Sch Phys, Guangzhou, Guangdong, Peoples R China. |
| 刊名 | SCIENTIFIC REPORTS
 |
| 出版日期 | 2017 |
| 卷号 | 7页码:6585 |
| DOI | http://dx.doi.org/10.1038/s41598-017-06843-3 |
| 英文摘要 | 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. |
| 学科主题 | Science & Technology - Other Topics |
| 语种 | 英语 |
| 源URL | [http://ir.itp.ac.cn/handle/311006/22005]  |
| 专题 | 理论物理研究所_理论物理所1978-2010年知识产出 |
| 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. |
入库方式： OAI收割
来源：理论物理研究所
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