Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum bright soliton in a disorder potential   At very low temperature, a quasi-one-dimensional ensemble of atoms with
attractive interactions tend to form a bright soliton. When exposed to a
sufficiently weak external potential, the shape of the soliton is not modified,
but its external motion is affected. We develop in detail the Bogoliubov
approach for the problem, treating, in a non-perturbative way, the motion of
the center of mass of the soliton. Quantization of this motion allows us to
discuss its long time properties. In particular, in the presence of a
disordered potential, the quantum motion of the center of mass of a bright
soliton may exhibit Anderson localization, on a localization length which may
be much larger than the soliton size and could be observed experimentally.

33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ