A1 Refereed original research article in a scientific journal
Stochastic jump processes for non-Markovian quantum dynamics
Authors: Breuer HP, Piilo J
Publisher: EDP SCIENCES S A
Publication year: 2009
Journal: EPL
Journal name in source: EPL
Journal acronym: EPL-EUROPHYS LETT
Article number: ARTN 50004
Volume: 85
Issue: 5
Number of pages: 5
ISSN: 0295-5075
DOI: https://doi.org/10.1209/0295-5075/85/50004
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 Schrodinger 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 Schrodinger equation, which could lead to important insights into the structural characterization of positive non-Markovian equations of motion. Copyright (C) EPLA, 2009
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 Schrodinger 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 Schrodinger equation, which could lead to important insights into the structural characterization of positive non-Markovian equations of motion. Copyright (C) EPLA, 2009
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