外文题目: Dark Soliton Solution of the Three-dimensional Gross-Pitaevskii Equation with an Isotropic Harmonic Potential and Nonlinearity in Polytropic Approximation
作者: Fan, Xinwei; Zhou, Yu; Li, Yalun; Wang, Ying; Zhou, Shuyu
刊名: J. Korean Phys. Soc.
年: 2016 卷: 68 期: 3 页： 383--386
英文关键词:
Gross-Pitaevskii equation; Self-similar transformation; Soliton
英文摘要:
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.


文献类型: 期刊论文
正文语种: English
收录类别: SCI
DOI: 10.3938/jkps.68.383


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