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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
发表期刊J. Korean Phys. Soc.
卷号68期号:3页码:383
摘要We 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.
文章类型Article
部门归属量光
DOI10.3938/jkps.68.383
资助者National 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]
收录类别SCI
资助者National 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记录号WOS:000371418800002
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文献类型期刊论文
条目标识符http://ir.siom.ac.cn/handle/181231/27771
专题量子光学重点实验室
通讯作者yingwang4f@126.com
作者单位中国科学院上海光学精密机械研究所
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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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