Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-equilibrium boundary driven quantum systems: models, methods and
  properties   Recent years have seen tremendous progress in the theoretical understanding
of quantum systems driven dissipatively by coupling them to different baths at
their edges. This was possible because of the concurrent advances in the models
used to represent these systems, the methods employed, and the analysis of the
emerging phenomenology. Here we aim to give a comprehensive review of these
three integrated research directions. We first provide an overarching view of
the models of boundary driven open quantum systems, both in the weak and strong
coupling regimes. This is followed by a review of state-of-the-art analytical
and numerical methods, both exact, perturbative and approximate. Finally, we
discuss the transport properties of some paradigmatic one-dimensional chains,
with an emphasis on disordered and quasiperiodic systems, the emergence of
rectification and negative differential conductance, and the role of phase
transitions.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol