dorsal/arxiv
View SchemaQuantum Zeno and anti-Zeno effects by indirect measurement with finite errors
| Authors | Kazuki Koshino, Akira Shimizu |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210036 |
| URL | https://arxiv.org/abs/quant-ph/0210036 |
| DOI | 10.1103/PhysRevA.67.042101 |
| Journal | Phys. Rev. A 67 042101 (2003) |
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.
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"abstract": "We study the quantum Zeno effect and the anti-Zeno effect in the case of\n`indirect\u0027 measurements, where a measuring apparatus does not act directly on\nan unstable system, for a realistic model with finite errors in the\nmeasurement. A general and simple formula for the decay rate of the unstable\nsystem under measurement is derived. In the case of a Lorentzian form factor,\nwe calculate the full time evolutions of the decay rate, the response of the\nmeasuring apparatus, and the probability of errors in the measurement. It is\nshown that not only the response time but also the detection efficiency plays a\ncrucial role. We present the prescription for observing the quantum Zeno and\nanti-Zeno effects, as well as the prescriptions for avoiding or calibrating\nthese effects in general experiments.",
"arxiv_id": "quant-ph/0210036",
"authors": [
"Kazuki Koshino",
"Akira Shimizu"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.042101",
"journal_ref": "Phys. Rev. A 67 042101 (2003)",
"title": "Quantum Zeno and anti-Zeno effects by indirect measurement with finite errors",
"url": "https://arxiv.org/abs/quant-ph/0210036"
},
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