Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vortices in Bose-Einstein condensates with $\mathcal{PT}$-symmetric gain
  and loss   We investigate vortex excitations in dilute Bose-Einstein condensates in the
presence of complex $\mathcal{PT}$-symmetric potentials. These complex
potentials are used to describe a balanced gain and loss of particles and allow
for an easier calculation of stationary states in open systems than in a full
dynamical calculation including the whole environment. We examine the
conditions under which stationary vortex states can exist and consider
transitions from vortex to non-vortex states. In addition, we study the
influences of $\mathcal{PT}$ symmetry on the dynamics of non-stationary vortex
states placed at off-center positions.

37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th