Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spectral functions and localization landscape theory in speckle
  potentials   Spectral function is a key tool for understanding the behavior of
Bose-Einstein condensates of cold atoms in random potentials generated by a
laser speckle. In this paper we introduce a new method for computing the
spectral functions in disordered potentials. Using a combination of the
Wigner-Weyl approach with the landscape theory, we build an approximation for
the Wigner distributions of the eigenstates in the phase space and show its
accuracy in all regimes, from the deep quantum regime to the intermediate and
semiclassical. Based on this approximation, we devise a method to compute the
spectral functions using only the landscape-based effective potential. The
paper demonstrates the efficiency of the proposed approach for disordered
potentials with various statistical properties without requiring any adjustable
parameters.

10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat