Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stochastic jump processes for non-Markovian quantum dynamics   It is shown that non-Markovian master equations for an open system which are
local in time can be unravelled through a piecewise deterministic quantum jump
process in its Hilbert space. We derive a stochastic Schr\"odinger equation
that reveals how non-Markovian effects are manifested in statistical
correlations between different realizations of the process. Moreover, we
demonstrate that possible violations of the positivity of approximate master
equations are closely connected to singularities of the stochastic
Schr\"odinger equation, which could lead to important insights into the
structural characterization of positive non-Markovian equations of motion.

16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin