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arXiv:0707.0686 · Communications in Mathematical Physics

Adiabatic Elimination in Quantum Stochastic Models

Luc Bouten, Andrew Silberfarb

Published May 21, 2008• 26 citations
arXivHTMLPDF
DOI
10.1007/s00220-008-0513-6

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Dedicated to the memory of Slava Belavkin, the father of quantum cybernetics. In this paper we formulate limit Zeno dynamics of general open sys-tems as the adiabatic elimination of fast components. We are able to ex-ploit previous work on adiabatic elimination of quantum stochastic models to give explicitly the conditions under which open Zeno dynamics will ex-ist. The open systems formulation is further developed as a framework for Zeno master equations, and Zeno filtering (that is, quantum trajectories based on a limit Zeno dynamical model). We discuss several models from the point of view of quantum control. For the case of linear quantum stochastic systems we present a condition for stability of the asymptotic Zeno dynamics. 1