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

P. G. Kevrekidis, Wenlong Wang, R. Carretero-González, D. J. Frantzeskakis, Shuangquan Xie

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3 Citations (Scopus)

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)rp. Our calculations suggest that for p>2, the precession frequency scales with μ as ω∼μ-2/p. This theoretical prediction is corroborated by numerical computations, not only 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 distance to the trap center of an initially displaced vortex is examined, and the corresponding predictions are tested against numerical results.

Original languageEnglish
Article number043612
JournalPhysical Review A
Volume96
Issue number4
DOIs
Publication statusPublished - 2017 Oct 13
Externally publishedYes

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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