dorsal/arxiv
View SchemaClassical predictability and coarse-grained evolution of the quantum baker's map
| Authors | Artur Scherer, Andrei N. Soklakov, Ruediger Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511215 |
| URL | https://arxiv.org/abs/quant-ph/0511215 |
| DOI | 10.1103/PhysRevD.73.125009 |
| Journal | Phys. Rev. D 73, 125009 (2006) |
Abstract
We investigate how classical predictability of the coarse-grained evolution of the quantum baker's map depends on the character of the coarse-graining. Our analysis extends earlier work by Brun and Hartle [Phys. Rev. D 60, 123503 (1999)] to the case of a chaotic map. To quantify predictability, we compare the rate of entropy increase for a family of coarse-grainings in the decoherent histories formalism. We find that the rate of entropy increase is dominated by the number of scales characterising the coarse-graining.
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"abstract": "We investigate how classical predictability of the coarse-grained evolution\nof the quantum baker\u0027s map depends on the character of the coarse-graining. Our\nanalysis extends earlier work by Brun and Hartle [Phys. Rev. D 60, 123503\n(1999)] to the case of a chaotic map. To quantify predictability, we compare\nthe rate of entropy increase for a family of coarse-grainings in the decoherent\nhistories formalism. We find that the rate of entropy increase is dominated by\nthe number of scales characterising the coarse-graining.",
"arxiv_id": "quant-ph/0511215",
"authors": [
"Artur Scherer",
"Andrei N. Soklakov",
"Ruediger Schack"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevD.73.125009",
"journal_ref": "Phys. Rev. D 73, 125009 (2006)",
"title": "Classical predictability and coarse-grained evolution of the quantum baker\u0027s map",
"url": "https://arxiv.org/abs/quant-ph/0511215"
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