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Stochastic jump processes for non-Markovian quantum dynamics
Tekijät: Breuer HP, Piilo J
Kustantaja: EDP SCIENCES S A
Julkaisuvuosi: 2009
Journal: EPL
Tietokannassa oleva lehden nimi: EPL
Lehden akronyymi: EPL-EUROPHYS LETT
Artikkelin numero: ARTN 50004
Vuosikerta: 85
Numero: 5
Sivujen määrä: 5
ISSN: 0295-5075
DOI: https://doi.org/10.1209/0295-5075/85/50004
Tiivistelmä
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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