Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Atomic Bose-Einstein Condensation with Three-Body Interactions and
  Collective Excitations   The stability of a Bose-Einstein condensed state of trapped ultra-cold atoms
is investigated under the assumption of an attractive two-body and a repulsive
three-body interaction. The Ginzburg-Pitaevskii-Gross (GPG) nonlinear
Schr\"odinger equation is extended to include an effective potential dependent
on the square of the density and solved numerically for the s-wave. The lowest
frequency of the collective mode is determined and its dependences on the
number of atoms and on the strength of the three-body force are studied. We
show that the addition of three-body dynamics can allow the number of condensed
atoms to increase considerably, even when the strength of the three-body force
is very small compared with the strength of the two-body force. We also observe
a first-order liquid-gas phase transition for the condensed state up to a
critical strength of the effective three-body force.

15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th