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With the imminent advent of mesoscopic rotating BECs in the lowest Landaulevel (LLL) regime, we explore LLL vortex nucleation. An exact many-bodyanalysis is presented in a weakly elliptical trap for up to 400 particles.Striking non-mean field features are exposed at filling factors >>1 . Eg nearthe critical rotation frequency pairs of energy levels approach each other withexponential accuracy. A physical interpretation is provided by requantising amean field theory, where 1/N plays the role of Planck's constant, revealing twovortices cooperatively tunneling between classically degenerate energy minima.The tunnel splitting variation is described in terms of frequency, particlenumber and ellipticity.

Exact vortex nucleation and cooperative vortex tunneling in dilute BECs