5 years ago

Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates.

Piotr Bizon, Anxo Biasi, Ben Craps, Oleg Evnin

The Lowest Landau Level (LLL) equation emerges as an accurate approximation for a class of dynamical regimes of Bose-Einstein Condensates (BEC) in two-dimensional isotropic harmonic traps in the limit of weak interactions. Building on recent developments in the field of spatially confined extended Hamiltonian systems, we find a fully nonlinear solution of this equation representing periodically modulated precession of a single vortex. Motions of this type have been previously seen in numerical simulations and experiments at moderately weak coupling. Our work provides the first controlled analytic prediction for trajectories of a single vortex, suggests new targets for experiments, and opens up the prospect of finding analytic multi-vortex solutions.

Publisher URL: http://arxiv.org/abs/1705.00867

DOI: arXiv:1705.00867v2

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