Volume 85, Number 5, March 2009
|Number of page(s)||5|
|Published online||17 March 2009|
Stochastic jump processes for non-Markovian quantum dynamics
Physikalisches Institut, Universität Freiburg - Hermann-Herder-Strasse 3, D-79104 Freiburg, Germany, EU
2 Department of Physics and Astronomy, University of Turku - FI-20014 Turun yliopisto, Finland, EU
Accepted: 13 February 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 Schrödinger 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 Schrödinger equation, which could lead to important insights into the structural characterization of positive non-Markovian equations of motion.
PACS: 03.65.Yz – Decoherence; open systems; quantum statistical methods / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps
© EPLA, 2009
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