Quantum Zeno effect by indirect measurement: The effect of the detector

Abstract

We study the quantum Zeno effect in the case of indirect measurement, where the detector does not interact directly with the unstable system. Expanding on the model of Koshino and Shimizu [Phys. Rev. Lett., 92, 030401, (2004)] we consider a realistic Hamiltonian for the detector with a finite bandwidth. We also take explicitly into account the position, the dimensions and the uncertainty in the measurement of the detector. Our results show that the quantum Zeno effect is not expected to occur, except for the unphysical case where the detector and the unstable system overlap.

4 pages, 4 figures

References in corpus (5)

• Beyond single-photon localization at the edge of a Photonic Band Gap
• Quantum systems coupled to a structured reservoir with multiple excitations
• Quantum Zeno Effect for Exponentially Decaying Systems
• Quantum Zeno and anti-Zeno effects by indirect measurement with finite errors
• Impossibility of distant indirect measurement of the quantum Zeno effect

Cited by in corpus (5)

• Coalescence of non-Markovian dissipation, quantum Zeno effect and non-Hermitian physics, in a simple realistic quantum system
• Stable bipolarons in open quantum systems
• Suppression of Zeno effect for distant detectors
• An Algebraic PT-Symmetric Quantum Theory with a Maximal Mass
• An upper limit on fermion mass spectrum in non-Hermitian models and its implications for studying of dark matter