dorsal/arxiv
View SchemaEffect of the measurement on the decay rate of a quantum system
| Authors | Brahim Elattari, S. A. Gurvitz |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908054 |
| URL | https://arxiv.org/abs/quant-ph/9908054 |
| DOI | 10.1103/PhysRevLett.84.2047 |
| Journal | Phys.Rev.Lett. 84 (2000) 2047-2051 |
Abstract
We investigated the electron tunneling out of a quantum dot in the presence of a continuous monitoring by a detector. It is shown that the Schr\"odinger equation for the whole system can be reduced to new Bloch-type rate equations describing the time-development of the detector and the measured system at once. Using these equations we find that the continuous measurement of the unstable system does not affect its exponential decay, $\exp (-\Gamma t)$, contrary to expectations based on the Quantum Zeno effect . However, the width of the energy distribution of the tunneling electron is no more $\Gamma$, but increases due to the decoherence, generated by the detector.
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"abstract": "We investigated the electron tunneling out of a quantum dot in the presence\nof a continuous monitoring by a detector. It is shown that the Schr\\\"odinger\nequation for the whole system can be reduced to new Bloch-type rate equations\ndescribing the time-development of the detector and the measured system at\nonce. Using these equations we find that the continuous measurement of the\nunstable system does not affect its exponential decay, $\\exp (-\\Gamma t)$,\ncontrary to expectations based on the Quantum Zeno effect . However, the width\nof the energy distribution of the tunneling electron is no more $\\Gamma$, but\nincreases due to the decoherence, generated by the detector.",
"arxiv_id": "quant-ph/9908054",
"authors": [
"Brahim Elattari",
"S. A. Gurvitz"
],
"categories": [
"quant-ph",
"cond-mat",
"hep-ph",
"nucl-th"
],
"doi": "10.1103/PhysRevLett.84.2047",
"journal_ref": "Phys.Rev.Lett. 84 (2000) 2047-2051",
"title": "Effect of the measurement on the decay rate of a quantum system",
"url": "https://arxiv.org/abs/quant-ph/9908054"
},
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