Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortex precession dynamics in general radially symmetric potential traps
  in two-dimensional atomic Bose-Einstein condensates   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 $\omega$ on the
chemical potential $\mu$, 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 $\mu$ as $\omega \sim \mu^{-2/p}$. 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 $\mu$, but also through direct numerical
computations of the vortex evolution in the large $\mu$, 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.

14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin