Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the characterization of vortex configurations in the steady rotating
  Bose--Einstein condensates   Motivated by experiments in atomic Bose-Einstein condensates (BECs), we
compare predictions of a system of ordinary differential equations (ODE) for
dynamics of one and two individual vortices in the rotating BECs with those of
the partial differential equation (PDE). In particular, we characterize
orbitally stable vortex configurations in a symmetric harmonic trap due to a
cubic repulsive interaction and the steady rotation. The ODE system is analyzed
in details and the PDE model is approximated numerically. Good agreement
between the two models is established in the semi-classical (Thomas-Fermi)
limit that corresponds to the BECs at the large chemical potentials.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph