稀BEC中的精确涡旋形核和协同涡旋隧穿
Exact vortex nucleation and cooperative vortex tunneling in dilute BECs
摘要：
随着最低朗道能级（LLL）区域中介观旋转BEC的即将出现，我们探索了LLL涡旋成核。一个精确的多体分析是在一个弱椭圆形陷阱多达400个粒子。显著的非平均场特征在填充因子>>1时暴露。例如，在临界旋转频率附近，能级对以指数精度彼此接近。一个物理解释是通过重新定义的平均场论，其中1/N起着普朗克常数的作用，揭示了两个涡合作隧道之间的经典简并能量极小。隧道分裂的变化描述的频率，粒子数和椭圆率。
英文摘要：
With the imminent advent of mesoscopic rotating BECs in the lowest Landau level (LLL) regime, we explore LLL vortex nucleation. An exact many-body analysis is presented in a weakly elliptical trap for up to 400 particles. Striking non-mean field features are exposed at filling factors >>1 . Eg near the critical rotation frequency pairs of energy levels approach each other with exponential accuracy. A physical interpretation is provided by requantising a mean field theory, where 1/N plays the role of Planck's constant, revealing two vortices cooperatively tunneling between classically degenerate energy minima. The tunnel splitting variation is described in terms of frequency, particle number and ellipticity.
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