Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generic features of the dynamics of complex open quantum systems:
  Statistical approach based on averages over the unitary group   We obtain exact analytic expressions for a class of functions expressed as
integrals over the Haar measure of the unitary group in d dimensions. Based on
these general mathematical results, we investigate generic dynamical properties
of complex open quantum systems, employing arguments from ensemble theory. We
further generalize these results to arbitrary eigenvalue distributions,
allowing a detailed comparison of typical regular and chaotic systems with the
help of concepts from random matrix theory. To illustrate the physical
relevance and the general applicability of our results we present a series of
examples related to the fields of open quantum systems and nonequilibrium
quantum thermodynamics. These include the effect of initial correlations, the
average quantum dynamical maps, the generic dynamics of system-environment pure
state entanglement and, finally, the equilibration of generic open and closed
quantum systems.

3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex