dorsal/arxiv
View SchemaQuantum dynamical entropies for discrete classical systems: a comparison
| Authors | Valerio Cappellini |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506254 |
| URL | https://arxiv.org/abs/quant-ph/0506254 |
| DOI | 10.1088/0305-4470/38/31/003 |
| Journal | J. Phys. A: Math. Gen. 38(31), 6893-6915 (2005) |
Abstract
On a family of classical dynamical systems on the 2-torus, we perform a discretization procedure similar to the Anti-Wick quantization. Such a discretization is performed by using a particular class of states, fulfilling an appropriate dynamical localization property, typical of quantum Coherent States. The same set of states is involved in the construction of a quantum entropy, that we test on the discrete approximants; a correspondence with the classical metric entropy of Kolmogorov-Sinai is found only over time scales that are logarithmic in the discretization parameter.
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"abstract": "On a family of classical dynamical systems on the 2-torus, we perform a\ndiscretization procedure similar to the Anti-Wick quantization. Such a\ndiscretization is performed by using a particular class of states, fulfilling\nan appropriate dynamical localization property, typical of quantum Coherent\nStates. The same set of states is involved in the construction of a quantum\nentropy, that we test on the discrete approximants; a correspondence with the\nclassical metric entropy of Kolmogorov-Sinai is found only over time scales\nthat are logarithmic in the discretization parameter.",
"arxiv_id": "quant-ph/0506254",
"authors": [
"Valerio Cappellini"
],
"categories": [
"quant-ph",
"math-ph",
"math.MP",
"nlin.CD"
],
"doi": "10.1088/0305-4470/38/31/003",
"journal_ref": "J. Phys. A: Math. Gen. 38(31), 6893-6915 (2005)",
"title": "Quantum dynamical entropies for discrete classical systems: a comparison",
"url": "https://arxiv.org/abs/quant-ph/0506254"
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