On relations between stable and Zeno dynamics in a leaky graph decay model

Details On relations between stable and Zeno dynamics in a leaky graph decay model On relations between stable and Zeno dynamics in a leaky graph decay model

2005-04-08

arxiv.org/abs/quant-ph/0504060v1

Physics

Quantum Physics

LaTeX2e, birkart style, 14 pages, written for Proceedings of the Conference "Operator Theory and Mathematical Physics" (Bedlew

Scientific paper

We use a caricature model of a system consisting of a quantum wire and a finite number of quantum dots, to discuss relation between the Zeno dynamics and the stable one which governs time evolution of the dot states in the absence of the wire. We analyze the weak coupling case and argue that the two time evolutions can differ significantly only at times comparable with the lifetime of the unstable system undisturbed by perpetual measurement.

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