Quantum Zeno and anti-Zeno effects by indirect measurement with finite errors

Abstract

We study the quantum Zeno effect and the anti-Zeno effect in the case of `indirect' measurements, where a measuring apparatus does not act directly on an unstable system, for a realistic model with finite errors in the measurement. A general and simple formula for the decay rate of the unstable system under measurement is derived. In the case of a Lorentzian form factor, we calculate the full time evolutions of the decay rate, the response of the measuring apparatus, and the probability of errors in the measurement. It is shown that not only the response time but also the detection efficiency plays a crucial role. We present the prescription for observing the quantum Zeno and anti-Zeno effects, as well as the prescriptions for avoiding or calibrating these effects in general experiments.

4 pages, 3 figures

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Cited by in corpus (10)

• Unification of Dynamical Decoupling and the Quantum Zeno Effect
• Quantum Zeno effect by general measurements
• Control of decoherence: analysis and comparison of three different strategies
• Quantum Zeno Effect for Exponentially Decaying Systems
• Coalescence of non-Markovian dissipation, quantum Zeno effect and non-Hermitian physics, in a simple realistic quantum system
• Impossibility of distant indirect measurement of the quantum Zeno effect
• Zeno dynamics and constraints
• Quantum Zeno effect by indirect measurement: The effect of the detector
• Mathematics of the Quantum Zeno Effect
• Complete Resolution of the Quantum Zeno Paradox for Outside Observers