Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the steady state correlation functions of open interacting systems   We address the existence of steady state Green-Keldysh correlation functions
of interacting fermions in mesoscopic systems for both the partitioning and
partition-free scenarios. Under some spectral assumptions on the
non-interacting model and for sufficiently small interaction strength, we show
that the system evolves to a NESS which does not depend on the profile of the
time-dependent coupling strength/bias. For the partitioned setting we also show
that the steady state is independent of the initial state of the inner sample.
Closed formulae for the NESS two-point correlation functions (Green-Keldysh
functions), in the form of a convergent expansion, are derived. In the
partitioning approach, we show that the 0th order term in the interaction
strength of the charge current leads to the Landauer-Buettiker formula, while
the 1st order correction contains the mean-field (Hartree-Fock) results.

21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th