dorsal/arxiv
View SchemaNormalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check
| Authors | Stephen L. Adler |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0607109 |
| URL | https://arxiv.org/abs/quant-ph/0607109 |
| DOI | 10.1088/0305-4470/39/45/015 |
| Journal | J.Phys. A39 (2006) 14067-14074 |
Abstract
We show that when the Hornberger--Sipe calculation of collisional decoherence is carried out with the squared delta function a delta of energy instead of a delta of the absolute value of momentum, following a method introduced by Di\'osi, the corrected formula for the decoherence rate is simply obtained. The results of Hornberger and Sipe and of Di\'osi are shown to be in agreement. As an independent cross-check, we calculate the mean squared coordinate diffusion of a hard sphere implied by the corrected decoherence master equation, and show that it agrees precisely with the same quantity as calculated by a classical Brownian motion analysis.
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"abstract": "We show that when the Hornberger--Sipe calculation of collisional decoherence\nis carried out with the squared delta function a delta of energy instead of a\ndelta of the absolute value of momentum, following a method introduced by\nDi\\\u0027osi, the corrected formula for the decoherence rate is simply obtained. The\nresults of Hornberger and Sipe and of Di\\\u0027osi are shown to be in agreement. As\nan independent cross-check, we calculate the mean squared coordinate diffusion\nof a hard sphere implied by the corrected decoherence master equation, and show\nthat it agrees precisely with the same quantity as calculated by a classical\nBrownian motion analysis.",
"arxiv_id": "quant-ph/0607109",
"authors": [
"Stephen L. Adler"
],
"categories": [
"quant-ph",
"hep-ph",
"hep-th",
"math-ph",
"math.MP"
],
"doi": "10.1088/0305-4470/39/45/015",
"journal_ref": "J.Phys. A39 (2006) 14067-14074",
"title": "Normalization of Collisional Decoherence: Squaring the Delta Function, and an Independent Cross-Check",
"url": "https://arxiv.org/abs/quant-ph/0607109"
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