Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Renormalization in the Theory of Open Quantum Systems via the
  Self-Consistency Condition   We investigate the topic of renormalization in the theory of weakly
interacting open quantum systems. Our starting point is the reduced state of
the open quantum system interacting with a thermal reservoir after the total
system returns to equilibrium. We postulate the self-consistency condition for
the dynamical equations that fixes the renormalization procedure. In this way,
we rederive the cumulant equation to illustrate how the self-consistency
condition enters the derivation of the dynamical equations. The validity of the
self-consistency condition is proved via calculating the partial trace of
global KMS state with respect to reservoir degrees of freedom. Namely, we
obtain the agreement between the stationary state of the cumulant equation with
the reduced state calculated from the partial trace. The physical
interpretation of the renormalization procedure is discussed in terms of the
Born approximation. Finally, we formulate a simplified renormalization scheme
that can be directly applied to Davies-GKSL or Bloch-Redfield equations.

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The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th