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

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 uns...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2003-04, Vol.67 (4), Article 042101
Main Authors: Koshino, Kazuki, Shimizu, Akira
Format: Article
Language:English
Subjects:
ATOMIC AND MOLECULAR PHYSICS
DECAY
DETECTION
EFFICIENCY
ERRORS
EVOLUTION
FORM FACTORS
PROBABILITY
QUANTUM MECHANICS
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1050-2947
1094-1622
DOI:10.1103/PhysRevA.67.042101