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Open Quantum Systems Decoherence
A Survey on the Classical Limit of Quantum Dynamical Entropies
arXiv
Authors: Valerio Cappellini
Year
2007
Paper ID
49312
Status
Preprint
Abstract Read
~2 min
Abstract Words
72
Citations
N/A
Abstract
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 time scales that are logarithmic in the quantization parameter.
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- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
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- We analyze the behavior of quantum dynamical entropies production from sequences of quantum approximants approaching their (chaotic) classical limit.
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