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The dynamical entropy of the quantum Arnold cat map (1995)

Andries, J. ; Fannes, M. ; Tuyls, P. ; [et al.]

Springer

Letters in mathematical physics 35 (1995), S. 375-383

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ISSN: 1573-0530

Keywords: 46L55 ; 28D20 ; 82B10

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We present a rigorous computation of the dynamical entropyh of the quantum Arnold cat map. This map, which describes a flow on the noncommutative two-dimensional torus, is a simple example of a quantum dynamical system with optimal mixing properties, characterized by Lyapunov exponents ± 1n λ+, λ+ 〉 1. We show that, for all values of the quantum deformation parameter,h coincides with the positive Lyapunov exponent of the dynamics.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00750844

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