dorsal/arxiv
View SchemaA Quantum Anti-Zeno Paradox
| Authors | A. P. Balachandran, S. M. Roy |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909056 |
| URL | https://arxiv.org/abs/quant-ph/9909056 |
| DOI | 10.1103/PhysRevLett.84.4019 |
| Journal | Phys.Rev.Lett.84:4019-4022,2000 |
Abstract
We establish an exact differential equation for the operator describing time-dependent measurements continuous in time and obtain a series solution. Suppose the projection operator $E(t) = U(t) E U^\dagger(t)$ is measured continuously from t = 0 to T, where E is a projector leaving the initial state unchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness conditions in t. We prove that the probability of always finding E(t) = 1 from t = 0 to T is unity. If $U(t) \neq 1$, the watched kettle is sure to `boil'.
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"abstract": "We establish an exact differential equation for the operator describing\ntime-dependent measurements continuous in time and obtain a series solution.\nSuppose the projection operator $E(t) = U(t) E U^\\dagger(t)$ is measured\ncontinuously from t = 0 to T, where E is a projector leaving the initial state\nunchanged and U(t) a unitary operator obeying U(0) = 1 and some smoothness\nconditions in t. We prove that the probability of always finding E(t) = 1 from\nt = 0 to T is unity. If $U(t) \\neq 1$, the watched kettle is sure to `boil\u0027.",
"arxiv_id": "quant-ph/9909056",
"authors": [
"A. P. Balachandran",
"S. M. Roy"
],
"categories": [
"quant-ph",
"gr-qc",
"hep-th"
],
"doi": "10.1103/PhysRevLett.84.4019",
"journal_ref": "Phys.Rev.Lett.84:4019-4022,2000",
"title": "A Quantum Anti-Zeno Paradox",
"url": "https://arxiv.org/abs/quant-ph/9909056"
},
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