Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation

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dc.creatorMoodley, Mervlyn
dc.creatorPetruccione, Francesco
dc.date2009-03-31
dc.date.accessioned2026-07-07T13:07:09Z
dc.date.available2026-07-07T13:07:09Z
dc.descriptionRecently 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.
dc.descriptionAccepted for publication in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0903.5382
dc.identifierhttp://arxiv.org/abs/0903.5382
dc.identifierPhys. Rev. A 79, 042103 (2009)
dc.identifierdoi:10.1103/PhysRevA.79.042103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228000
dc.subjectQuantum Physics
dc.titleStochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation
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