Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation

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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.
Accepted for publication in Phys. Rev. A

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/228000

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0903.5382
 http://arxiv.org/abs/0903.5382
 Phys. Rev. A 79, 042103 (2009)
 doi:10.1103/PhysRevA.79.042103

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