Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Derivation of Markovian master equations for spatially correlated
  decoherence   We introduce a general formalism to describe the effects of Markovian noise
which is spatially correlated, typically decaying over some finite correlation
length. For any system of interest, this formalism describes spatial
correlations without the necessity to choose a particular microscopic model for
the environment. We present a method of mapping the equations to Lindblad form
and discuss functional forms for homogeneous spatial correlation functions. We
also discuss two example microscopic models for the environment which exhibit
non-trivial spatial-temporal correlation functions.

27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics