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2007 | 112 | 4 | 589-605
Article title

A Survey on the Classical Limit of Quantum Dynamical Entropies

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Abstracts
EN
We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit. The model of the quantized hyperbolic automorphisms of the 2-torus is examined in detail and a semi-classical analysis is performed on it using coherent states, fulfilling an appropriate dynamical localization property. Correspondence between quantum dynamical entropies and the Kolmogorov-Sinai invariant is found only over timescales that are logarithmic in the quantization parameter.
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author
  • "Mark Kac" Complex Systems Research Centre, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland
  • Center for Theoretical Physics, Polish Academy of Sciences, al. Lotników 32/46, 02-668 Warszawa, Poland
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Document Type
Publication order reference
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YADDA identifier
bwmeta1.element.bwnjournal-article-appv112n403kz
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