Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of open quantum systems   A tutorial introduction is presented for the calculation of the time dynamics
for models of dissipative quantum mechanics where a small quantum system is
coupled to noninteracting bosonic or fermionic reservoirs. We discuss the
basics and applications of the real-time renormalization group method (RTRG),
where the Fourier variable $E$ conjugate to the time variable $t$ is used as
flow parameter. It is shown how a well-controlled perturbation theory can be
set up in the coupling to the bath where secular and logarithmic terms are
resummed to all order of perturbation theory. This is achieved by a set of
perturbative RG equations for the effective Liouvillian and the effective
vertices. Truncating the RG equations we show how the time dynamics can be
obtained analytically for exponentially small, intermediate and exponentially
large times. Basic applications are discussed for particle and potential energy
exchange within the interacting resonant level model, spin exchange for the
nonequilibrium Kondo model, and heat exchange within the ohmic spin boson model
at zero bias.

2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess