Exact vortex nucleation and cooperative vortex tunneling in dilute BECs

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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.
4 pages,4 figures

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Mesoscale and Nanoscale Physics, Strongly Correlated Electrons

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http://salesiana.dossiersoluciones.com/handle/123456789/168759

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0707.3065
 http://arxiv.org/abs/0707.3065
 PRL. 101, 110401 (2008)
 doi:10.1103/PhysRevLett.101.110401

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arXiv