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Dark Soliton Solution of the Three-dimensional Gross-Pitaevskii Equation with an Isotropic Harmonic Potential and Nonlinearity in Polytropic Approximation
Fan, Xinwei; Zhou, Yu; Li, Yalun; Wang, Ying; Zhou, Shuyu; yingwang4f@126.com
2016
Source PublicationJ. Korean Phys. Soc.
Volume68Issue:3Pages:383
AbstractWe study the three-dimensional Fermi gas in an isotropic harmonic trap during the Bardeen-Cooper-Schrieffer superfluid to Bose-Einstein condensate (BCS-BEC) crossover, which is modeled by using the generalized Gross-Pitaevskii equation (GGPE) in the polytropic approximation. We analytically solved the 3D GGPE with a coupled modulus-phase transformation without introducing any additional integrability constraint, reaching the dark soliton-like solution. We find that the dark soliton identified undergoes an oscillation with a constant period over the whole BCS-BEC crossover region, although the amplitude of the dark soliton varies with polytropic index, demonstrating the peculiar nonlinear properties for the system modeled by using the 3D GGPE.
SubtypeArticle
Department量光
DOI10.3938/jkps.68.383
Funding OrganizationNational Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071]
Indexed BySCI
Funding OrganizationNational Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071] ; National Science Foundation (NSF) of China [11547024, 11205071]
WOS IDWOS:000371418800002
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Document Type期刊论文
Identifierhttp://ir.siom.ac.cn/handle/181231/27771
Collection量子光学重点实验室
Corresponding Authoryingwang4f@126.com
Affiliation中国科学院上海光学精密机械研究所
Recommended Citation
GB/T 7714
Fan, Xinwei,Zhou, Yu,Li, Yalun,et al. Dark Soliton Solution of the Three-dimensional Gross-Pitaevskii Equation with an Isotropic Harmonic Potential and Nonlinearity in Polytropic Approximation[J]. J. Korean Phys. Soc.,2016,68(3):383.
APA Fan, Xinwei,Zhou, Yu,Li, Yalun,Wang, Ying,Zhou, Shuyu,&yingwang4f@126.com.(2016).Dark Soliton Solution of the Three-dimensional Gross-Pitaevskii Equation with an Isotropic Harmonic Potential and Nonlinearity in Polytropic Approximation.J. Korean Phys. Soc.,68(3),383.
MLA Fan, Xinwei,et al."Dark Soliton Solution of the Three-dimensional Gross-Pitaevskii Equation with an Isotropic Harmonic Potential and Nonlinearity in Polytropic Approximation".J. Korean Phys. Soc. 68.3(2016):383.
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