谐波加四次势阱中极端伸长下旋转玻色-爱因斯坦凝聚体中的涡旋
Vortices in a rotating Bose-Einstein condensate under extreme elongation in a harmonic plus quartic trap
摘要：
研究了二维各向异性简谐加四次势阱中快速旋转的玻色-爱因斯坦凝聚体在极端伸长条件下的行为。由于四次陷阱，系统在高旋转速度$Ω\geq ω_\perp$（$ω_\perp$是径向谐波陷阱频率）下保持稳定，并且即使在不存在排斥性s波相互作用（$g$）的情况下也形成涡旋晶格。当存在$g$时，$g$和四次陷阱势之间的相互作用可以导致作为$Ω$的函数的丰富的涡旋晶格过渡态，涡旋晶格最终在更高的$Ω$处消失。
英文摘要：
The behaviors of a rapid rotating Bose-Einstein condensate under extreme elongation in a 2D anisotropic harmonic plus quartic trap are investigated. Due to the quartic trap, the system remains stable at high rotating velocity, $Ω\geq ω_\perp$ ($ω_\perp$ is the radial harmonic trap frequency), and vortex lattices form even in the absence of the repulsive s-wave interaction ($g$). When $g$ is present, the interplay between $g$ and the quartic trap potential can lead to rich vortex lattice transition states as a function of $Ω$, to which vortex lattices vanish eventually at some higher $Ω$.
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