Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time evolution of continuous-time quantum walks on dynamical percolation
  graphs   We study the time evolution of continuous-time quantum walks on randomly
changing graphs. At certain moments edges of the graph appear or disappear with
a given probability. We focus on the case when the time interval between
subsequent changes of the graph tends to zero. We derive explicit formulae for
the general evolution in this limit. We find that the percolation in this limit
causes an effective time rescaling. Independently of the graph and the initial
state of the walk, the time is rescaled by the probability of keeping and edge.
Both the individual trajectories for a single system and average properties
with a superoperator formalism are discussed. We give an analytical proof for
our theorem and we also present results from numerical simulations of the
phenomena for different graphs.

31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex