Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Matter-wave localization in a weakly perturbed optical lattice   By numerical solution and variational approximation of the Gross-Pitaevskii
equation, we studied the localization of a noninteracting and
weakly-interacting Bose-Einstein condensate in a weakly perturbed optical
lattice in one and three dimensions. The perturbation achieved through a weak
delocalizing expulsive or a linear potential as well as a weak localizing
harmonic potential removes the periodicity of the optical lattice and leads to
localization. We also studied some dynamics of the localized state confirming
its stability.

33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph