Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avoiding Infrared Catastrophes in Trapped Bose-Einstein Condensates   This paper is concerned with the long wavelength instabilities (infrared
catastrophes) occurring in Bose-Einstein condensates (BECs). We examine the
modulational instability in ``cigar-shaped'' (1D) attractive BECs and the
transverse instability of dark solitons in ``pancake'' (2D) repulsive BECs. We
suggest mechanisms, and give explicit estimates, on how to ``engineer'' the
trapping conditions of the condensate to avoid such instabilities: the main
result being that a tight enough trapping potential suppresses the
instabilities present in the homogeneous limit. We compare the obtained
estimates with numerical results and we highlight the relevant regimes of
dynamical behavior.

21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics