Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonstationary excitations in Bose-Einstein condensates under the action
  of periodically varying scattering length with time dependent frequencies   We investigate nonstationary excitations in 3D-Bose-Einstein condensates in a
spherically symmetric trap potential under the modulation of scattering length
with slowly varying frequencies (adiabatic modulation). By numerically solving
the Gross-Pitaevskii equation we observe a step-wise increase in the amplitude
of oscillation due to successive phase locking between driving frequency and
nonlinear frequency. Such a nonstationary excitation has been shown to exist by
an analytic approach using variational procedure and perturbation theory in the
action-angle variables. By using a canonical perturbation theory, we have
identified the successive resonance excitations whenever the driven frequency
matches the nonlinear frequency or its subharmonics.

27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin