Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates

P. G. Kevrekidis; Wenlong Wang; R. Carretero-Gonzalez; D. J. Frantzeskakis; Shuangquan Xie

doi:10.1103/PhysRevA.96.043612

paper

Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates

arXiv:1706.07137 · doi:10.1103/PhysRevA.96.043612

Abstract

We consider the motion of individual two-dimensional vortices in general radially symmetric potentials in Bose-Einstein condensates. We find that although in the special case of the parabolic trap there is a logarithmic correction in the dependence of the precession frequency $ω$ on the chemical potential $μ$ , this is no longer true for a general potential $V (r) \propto r^{p}$ . Our calculations suggest that for $p > 2$ , the precession frequency scales with $μ$ as $ω \sim μ^{- 2/ p}$ . This theoretical prediction is corroborated by numerical computations, both at the level of spectral (Bogolyubov-de Gennes) stability analysis by identifying the relevant precession mode dependence on $μ$ , but also through direct numerical computations of the vortex evolution in the large $μ$ , so-called Thomas-Fermi, limit. Additionally, the dependence of the precession frequency on the radius of an initially displaced from the center vortex is examined and the corresponding predictions are tested against numerical results.

arXiv comment9 pages, 5 figures

Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates

Abstract

References in corpus (33)

Cited by in corpus (4)