Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates
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.
Keywords
Cite
@article{arxiv.1705.00867,
title = {Exact lowest-Landau-level solutions for vortex precession in Bose-Einstein condensates},
author = {Anxo Biasi and Piotr Bizon and Ben Craps and Oleg Evnin},
journal= {arXiv preprint arXiv:1705.00867},
year = {2017}
}
Comments
v2: minor improvements, published in PRA