Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Microscopic scattering theory for interacting bosons in weak random
  potentials   We develop a diagrammatic scattering theory for interacting bosons in a
three-dimensional, weakly disordered potential. Based on a microscopic N-body
scattering theory, we identify the relevant diagrams including elastic and
inelastic collision processes that are sufficient to describe diffusive quantum
transport. By taking advantage of the statistical properties of the weak
disorder potential, we demonstrate how the N-body dynamics can be reduced to a
nonlinear integral equation of Boltzmann type for the single-particle diffusive
flux. Our theory reduces to the Gross-Pitaevskii mean field description in the
limit where only elastic collisions are taken into account. However, even at
weak interaction strength, inelastic collisions lead to energy redistribution
between the bosons - initially prepared all at the same single-particle energy
- and thereby induce thermalization of the single-particle current. In
addition, we include also weak localization effects and determine the coherent
corrections to the incoherent transport in terms of the coherent backscattering
signal. We find that inelastic collisions lead to an enhancement of the
backscattered cone in a narrow spectral window for increasing interaction
strength.

14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin