dorsal/arxiv
View SchemaOperator normalized quantum arrival times in the presence of interactions
| Authors | G. C. Hegerfeldt, D. Seidel, J. G. Muga, B. Navarro |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311107 |
| URL | https://arxiv.org/abs/quant-ph/0311107 |
| DOI | 10.1103/PhysRevA.70.012110 |
| Journal | Phys. Rev. A 70, 012110 (2004) |
Abstract
We model ideal arrival-time measurements for free quantum particles and for particles subject to an external interaction by means of a narrow and weak absorbing potential. This approach is related to the operational approach of measuring the first photon emitted from a two-level atom illuminated by a laser. By operator-normalizing the resulting time-of-arrival distribution, a distribution is obtained which for freely moving particles not only recovers the axiomatically derived distribution of Kijowski for states with purely positive momenta but is also applicable to general momentum components. For particles interacting with a square barrier the mean arrival time and corresponding ``tunneling time'' obtained at the transmission side of the barrier becomes independent of the barrier width (Hartman effect) for arbitrarily wide barriers, i.e., without the transition to the ultra-opaque, classical-like regime dominated by wave packet components above the barrier.
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"abstract": "We model ideal arrival-time measurements for free quantum particles and for\nparticles subject to an external interaction by means of a narrow and weak\nabsorbing potential. This approach is related to the operational approach of\nmeasuring the first photon emitted from a two-level atom illuminated by a\nlaser. By operator-normalizing the resulting time-of-arrival distribution, a\ndistribution is obtained which for freely moving particles not only recovers\nthe axiomatically derived distribution of Kijowski for states with purely\npositive momenta but is also applicable to general momentum components. For\nparticles interacting with a square barrier the mean arrival time and\ncorresponding ``tunneling time\u0027\u0027 obtained at the transmission side of the\nbarrier becomes independent of the barrier width (Hartman effect) for\narbitrarily wide barriers, i.e., without the transition to the ultra-opaque,\nclassical-like regime dominated by wave packet components above the barrier.",
"arxiv_id": "quant-ph/0311107",
"authors": [
"G. C. Hegerfeldt",
"D. Seidel",
"J. G. Muga",
"B. Navarro"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.70.012110",
"journal_ref": "Phys. Rev. A 70, 012110 (2004)",
"title": "Operator normalized quantum arrival times in the presence of interactions",
"url": "https://arxiv.org/abs/quant-ph/0311107"
},
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