Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation

Details Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation Stochastic Wave-Function Unravelling of the Generalized Lindblad Master Equation

2009-03-31

arxiv.org/abs/0903.5382v1

Phys. Rev. A 79, 042103 (2009)

Physics

Quantum Physics

Accepted for publication in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.79.042103

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 Schr\"{o}dinger equation for this system.

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