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arXiv · 1705.00867

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

Anxo Biasi·Piotr Bizon·Ben Craps·Oleg Evnin
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Abstract

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.

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Anxo Biasi, Piotr Bizon, Ben Craps, Oleg Evnin. 2017-05-02. Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates. https://doi.org/10.1103/physreva.96.053615

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