Exact vortex nucleation and cooperative vortex tunneling in dilute BECs

Details Exact vortex nucleation and cooperative vortex tunneling in dilute BECs Exact vortex nucleation and cooperative vortex tunneling in dilute BECs

2007-07-20

arxiv.org/abs/0707.3065v2

PRL. 101, 110401 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages,4 figures

Scientific paper

10.1103/PhysRevLett.101.110401

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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