dorsal/arxiv
View SchemaPassage-time distributions from a spin-boson detector model
| Authors | Gerhard C. Hegerfeldt, Jens Timo Neumann, Lawrence S. Schulman |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610041 |
| URL | https://arxiv.org/abs/quant-ph/0610041 |
| DOI | 10.1103/PhysRevA.75.012108 |
| Journal | Physical Review A 75, 012108 (2007) |
Abstract
The passage-time distribution for a spread-out quantum particle to traverse a specific region is calculated using a detailed quantum model for the detector involved. That model, developed and investigated in earlier works, is based on the detected particle's enhancement of the coupling between a collection of spins (in a metastable state) and their environment. We treat the continuum limit of the model, under the assumption of the Markov property, and calculate the particle state immediately after the first detection. An explicit example with 15 boson modes shows excellent agreement between the discrete model and the continuum limit. Analytical expressions for the passage-time distribution as well as numerical examples are presented. The precision of the measurement scheme is estimated and its optimization discussed. For slow particles, the precision goes like $E^{-3/4}$, which improves previous $E^{-1}$ estimates, obtained with a quantum clock model.
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"abstract": "The passage-time distribution for a spread-out quantum particle to traverse a\nspecific region is calculated using a detailed quantum model for the detector\ninvolved. That model, developed and investigated in earlier works, is based on\nthe detected particle\u0027s enhancement of the coupling between a collection of\nspins (in a metastable state) and their environment. We treat the continuum\nlimit of the model, under the assumption of the Markov property, and calculate\nthe particle state immediately after the first detection. An explicit example\nwith 15 boson modes shows excellent agreement between the discrete model and\nthe continuum limit. Analytical expressions for the passage-time distribution\nas well as numerical examples are presented. The precision of the measurement\nscheme is estimated and its optimization discussed. For slow particles, the\nprecision goes like $E^{-3/4}$, which improves previous $E^{-1}$ estimates,\nobtained with a quantum clock model.",
"arxiv_id": "quant-ph/0610041",
"authors": [
"Gerhard C. Hegerfeldt",
"Jens Timo Neumann",
"Lawrence S. Schulman"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.012108",
"journal_ref": "Physical Review A 75, 012108 (2007)",
"title": "Passage-time distributions from a spin-boson detector model",
"url": "https://arxiv.org/abs/quant-ph/0610041"
},
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