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arXiv · 0903.5382

Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation

Mervlyn Moodley·Francesco Petruccione
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Abstract

Recently a generalized master equation was derived that extends the Lindblad theory to highly non-Markovian quantum processes (H.-P. Breuer, Phys. Rev. A \textbf{75}, 022103 (2007)). We perform a stochastic unravelling of this master equation by considering $n$ random state vectors that satisfy the corresponding stochastic differential equation for a piecewise deterministic process. As an application we consider a two-state system randomly coupled to an environment consisting of two energy bands with finite number of levels. Our numerical results are compared to results obtained from the time-convolutionless (TCL) projection operator method using correlated projection superoperators and the exact solution of the Schrödinger equation for this system.

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Mervlyn Moodley, Francesco Petruccione. 2009-03-31. Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation. https://doi.org/10.1103/physreva.79.042103

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