dorsal/arxiv
View SchemaClassical limit in terms of symbolic dynamics for the quantum baker's map
| Authors | A. N. Soklakov, R. Schack |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9908040 |
| URL | https://arxiv.org/abs/quant-ph/9908040 |
| DOI | 10.1103/PhysRevE.61.5108 |
| Journal | Phys. Rev. E 61, 5108 (2000) |
Abstract
We derive a simple closed form for the matrix elements of the quantum baker's map that shows that the map is an approximate shift in a symbolic representation based on discrete phase space. We use this result to give a formal proof that the quantum baker's map approaches a classical Bernoulli shift in the limit of a small effective Plank's constant.
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"abstract": "We derive a simple closed form for the matrix elements of the quantum baker\u0027s\nmap that shows that the map is an approximate shift in a symbolic\nrepresentation based on discrete phase space. We use this result to give a\nformal proof that the quantum baker\u0027s map approaches a classical Bernoulli\nshift in the limit of a small effective Plank\u0027s constant.",
"arxiv_id": "quant-ph/9908040",
"authors": [
"A. N. Soklakov",
"R. Schack"
],
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"doi": "10.1103/PhysRevE.61.5108",
"journal_ref": "Phys. Rev. E 61, 5108 (2000)",
"title": "Classical limit in terms of symbolic dynamics for the quantum baker\u0027s map",
"url": "https://arxiv.org/abs/quant-ph/9908040"
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