Zeno era and non-decaying subspaces for multilevel Friedrichs model

I. Antoniou; E. Karpov; G. Pronko; E. Yarevsky

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arXiv · quant-ph/0402210

Zeno era and non-decaying subspaces for multilevel Friedrichs model

I. Antoniou·E. Karpov·G. Pronko·E. Yarevsky

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Abstract

We study the short-time and medium-time behavior of the survival probability of decaying states in the framework of the $N$-level Friedrichs model. The degenerated and nearly degenerated systems are discussed in detail. We show that in these systems decay can be considerably slowed down or even stopped by appropriate choice of initial conditions. We analyze the behaviour of the multilevel system within the so-called Zeno era. We examine and compare two different definitions of the Zeno time. We demonstrate that the Zeno era can be considerably enlarged by proper choice of the system parameters.

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I. Antoniou, E. Karpov, G. Pronko, E. Yarevsky. 2004-02-27. Zeno era and non-decaying subspaces for multilevel Friedrichs model. https://arxiv.org/abs/quant-ph/0402210

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