Suppression of Zeno effect for distant detectors

Abstract

We describe the influence of continuous measurement in a decaying system and the role of the distance from the detector to the initial location of the system. The detector is modeled first by a step absorbing potential. For a close and strong detector, the decay rate of the system is reduced; weaker detectors do not modify the exponential decay rate but suppress the long-time deviations above a coupling threshold. Nevertheless, these perturbing effects of measurement disappear by increasing the distance between the initial state and the detector, as well as by improving the efficiency of the detector.

4 pages, 4 figures

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• Disclosing hidden information in the quantum Zeno effect: Pulsed measurement of the quantum time of arrival
• Exotic Bohmian arrival times of spin-1/2 particles I-An analytical treatment
• Long time deviation from exponential decay: non-integral power laws
• Generalized relation between pulsed and continuous measurements in the quantum Zeno effect
• Can the double-slit experiment distinguish between quantum interpretations?
• Non-Hermitian and Zeno limit of quantum systems under rapid measurements