Quantum dynamical entropies for discrete classical systems: a comparison

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dc.creatorCappellini, Valerio
dc.date2005-06-29
dc.date2005-07-30
dc.date.accessioned2026-07-07T06:13:06Z
dc.date.available2026-07-07T06:13:06Z
dc.descriptionOn 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.
dc.descriptionLaTeX, 36 pages. References updated
dc.identifierhttps://arxiv.org/abs/quant-ph/0506254
dc.identifierhttp://arxiv.org/abs/quant-ph/0506254
dc.identifierJ. Phys. A: Math. Gen. 38(31), 6893-6915 (2005)
dc.identifierdoi:10.1088/0305-4470/38/31/003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/92987
dc.subjectQuantum Physics
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.titleQuantum dynamical entropies for discrete classical systems: a comparison
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