Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of the energy variation in many-body open quantum systems: role of
  interactions in the weak and strong coupling regimes   We derive an expression for the rate of change of the energy of an
interacting many-body system connected to macroscopic leads. We show that the
energy variation is the sum of contributions from each different lead. Unlike
the charge current each of this contribution can differ from the rate of change
of the energy of the lead. We demonstrate that the discrepancy between the two
is due to the direct exchange of energy among the considered lead and all other
leads. We conclude that the microscopic mechanism behind it are virtual
processes via the interacting central region. We also speculate on what are the
implications of our findings in the calculation of the thermal conductance of
an interacting system.

19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
37
The categories of this paper are: supr-con
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc