Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium steady-states for interacting open systems: exact
  results   Under certain conditions we prove the existence of a steady-state transport
regime for interacting mesoscopic systems coupled to reservoirs (leads). The
partitioning and partition-free scenarios are treated on an equal footing. Our
time-dependent scattering approach is {\it exact} and proves, among other
things the independence of the steady-state quantities from the initial state
of the sample. Closed formulas for the steady-state current amenable for
perturbative calculations w.r.t. the interaction strength are also derived. In
the partitioning case we calculate the first order correction and recover the
mean-field (Hartree-Fock) results.

31
The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin