dorsal/arxiv
View SchemaBack-Reaction of Clocks and Limitations on Observability in Closed Systems
| Authors | Aharon Casher, Benni Reznik |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909010 |
| URL | https://arxiv.org/abs/quant-ph/9909010 |
| DOI | 10.1103/PhysRevA.62.042104 |
| Journal | Phys.Rev. A62 (2000) 042104 |
Abstract
Measurements are ordinarily described with respect to absolute "Newtonian" time. In reality however, the switching-on of the measuring device at the instance of the measurement requires a timing device. Hence the classical time $t$ must be replaced by a suitable quantum time variable $\tau$ of a physical clock. The main issue raised in this article is that while doing so, we can no longer neglect the {\em back-reaction} due to the measurement on the clock. This back-reaction yields a bound on the accuracy of the measurement. When this bound is violated the result of a measurement is generally not an eigenvalue of the observable, and furthermore, the state of the system after the measurement is generally not a pure state. We argue that as a consequence, a sub-class of observables in a closed system cannot be realized by a measurement.
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"abstract": "Measurements are ordinarily described with respect to absolute \"Newtonian\"\ntime. In reality however, the switching-on of the measuring device at the\ninstance of the measurement requires a timing device. Hence the classical time\n$t$ must be replaced by a suitable quantum time variable $\\tau$ of a physical\nclock. The main issue raised in this article is that while doing so, we can no\nlonger neglect the {\\em back-reaction} due to the measurement on the clock.\nThis back-reaction yields a bound on the accuracy of the measurement. When this\nbound is violated the result of a measurement is generally not an eigenvalue of\nthe observable, and furthermore, the state of the system after the measurement\nis generally not a pure state. We argue that as a consequence, a sub-class of\nobservables in a closed system cannot be realized by a measurement.",
"arxiv_id": "quant-ph/9909010",
"authors": [
"Aharon Casher",
"Benni Reznik"
],
"categories": [
"quant-ph",
"gr-qc"
],
"doi": "10.1103/PhysRevA.62.042104",
"journal_ref": "Phys.Rev. A62 (2000) 042104",
"title": "Back-Reaction of Clocks and Limitations on Observability in Closed Systems",
"url": "https://arxiv.org/abs/quant-ph/9909010"
},
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