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Springer eBooks

Time-Convolutionless Stochastic Unraveling of Non-Markovian Quantum Master Equations

Heinz‐Peter Breuer, Bernd Kappler, Francesco Petruccione

Published Nov 14, 2007• 2 citations
Publisher
DOI
10.1007/3-540-46657-6_18

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A generalization of the stochastic wave-function method to quantum master equations which are not in Lindblad form is developed. The proposed stochastic unraveling is based on a description of the reduced system in a doubled Hilbert space and it is shown that this method is capable of simulating quantum master equations with negative transition rates. Non-Markovian effects in the reduced systems dynamics can be treated within this approach by employing the time-convolutionless projection operator technique. This ansatz yields a systematic perturbative expansion of the reduced systems dynamics in the coupling strength. Several examples such as the damped Jaynes-Cummings model and the spontaneous decay of a two-level system into a photonic band gap are discussed. The power as well as the limitations of the method are demonstrated.