ISSN:
1573-0530
Schlagwort(e):
46L55
;
28D20
;
82B10
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
,
Physik
Notizen:
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.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF00750844
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