Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simulation of Anderson localization in two-dimensional ultracold gases
  for point-like disorder   Anderson localization has been observed for a variety of media, including
ultracold atomic gases with speckle disorder in one and three dimensions.
However, observation of Anderson localization in a two-dimensional geometry for
ultracold gases has been elusive. We show that a cause of this difficulty is
the relatively high percolation threshold of a speckle potential in two
dimensions, resulting in strong classical localization. We propose a realistic
point-like disorder potential that circumvents this percolation limit with
localization lengths that are experimentally observable. The percolation
threshold is evaluated for experimentally realistic parameters, and a regime of
negligible classical trapping is identified. Localization lengths are
determined via scaling theory, using both exact scattering cross sections and
the Born approximation, and by direct simulation of the time-dependent
Schr\"{o}dinger equation. We show that the Born approximation can underestimate
the localization length by four orders of magnitude at low energies, while
exact cross sections and scaling theory provide an upper bound. Achievable
experimental parameters for observing localization in this system are proposed.

35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph