@article{3072366,
    title = "Vortex precession dynamics in general radially symmetric potential traps in two-dimensional atomic Bose-Einstein condensates",
    author = "Kevrekidis, P.G. and Wang, W. and Carretero-González, R. and Frantzeskakis, D.J. and Xie, S.",
    journal = "Physical Review A",
    year = "2017",
    volume = "96",
    number = "4",
    publisher = "American Physical Society",
    issn = "2469-9926, 2469-9934",
    doi = "10.1103/PhysRevA.96.043612",
    keywords = "Bose-Einstein condensation;  Statistical mechanics, Atomic Bose-Einstein condensate;  Bose-Einstein condensates;  Logarithmic corrections;  Motion of individual;  Numerical computations;  Precession frequency;  Stability analysis;  Vortex precessions, Vortex flow",
    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. © 2017 American Physical Society."
}