A Survey on the Classical Limit of Quantum Dynamical Entropies

• Authors: V. Cappellini
• Languages of publication: EN

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.

Keywords

EN

05.45.-a; 05.45.Mt; 05.45.Ac; 03.65.Fd

Discipline

• 05.45.-a: Nonlinear dynamics and chaos(see also section 45 Classical mechanics of discrete systems; for chaos in fluid dynamics, see 47.52.+j; for chaos in superconductivity, see 74.40.De)
• 03.65.Fd: Algebraic methods(see also 02.20.-a Group theory)
• 05.45.Ac: Low-dimensional chaos
• 05.45.Mt: Quantum chaos; semiclassical methods

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 4
• Pages: 589-605

Dates

published

2007-10

received

2007-05-25

Contributors

author

V. Cappellini

• "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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Identifiers

DOI

10.12693/APhysPolA.112.589