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Quantum dynamical entropies in discrete classical chaos

Fabio Benatti1,2, Valerio Cappellini1 and Federico Zertuche3

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We discuss certain analogies between quantization and discretization of classical systems on manifolds. In particular, we will apply the quantum dynamical entropy of Alicki and Fannes to numerically study the footprints of chaos in discretized versions of hyperbolic maps on the torus.


PACS

05.45.Mt Quantum chaos; semiclassical methods

03.65.Sq Semiclassical theories and applications

MSC

81Q20 Semiclassical techniques including WKB and Maslov methods

81Q50 Quantum chaos (See also 37Dxx)

Subjects

Quantum information and quantum mechanics

Statistical physics and nonlinear systems

Dates

Issue 1 (9 January 2004)

Received 7 August 2003

Published 10 December 2003



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