Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
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 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 Schr\"{o}dinger equation for this system.
Keywords
Cite
@article{arxiv.0903.5382,
title = {Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation},
author = {Mervlyn Moodley and Francesco Petruccione},
journal= {arXiv preprint arXiv:0903.5382},
year = {2009}
}
Comments
Accepted for publication in Phys. Rev. A