Stochastic jump processes for non-Markovian quantum dynamics
Abstract
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.
Cite
@article{arxiv.0810.5511,
title = {Stochastic jump processes for non-Markovian quantum dynamics},
author = {Heinz-Peter Breuer and Jyrki Piilo},
journal= {arXiv preprint arXiv:0810.5511},
year = {2009}
}
Comments
5 pages. V2: minor changes according to the referees' suggestions. For EPL, see http://epljournal.edpsciences.org/