Coherent States Measurement Entropy

Nonlinear Sciences – Chaotic Dynamics

Scientific paper

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revtex, 22 pages, 14 figures available upon request (e-mail: kwapien@castor.if.uj.edu.pl). Submitted to J.Phys. A

Scientific paper

10.1088/0305-4470/30/9/025

Coherent states (CS) quantum entropy can be split into two components. The dynamical entropy is linked with the dynamical properties of a quantum system. The measurement entropy, which tends to zero in the semiclassical limit, describes the unpredictability induced by the process of a quantum approximate measurement. We study the CS--measurement entropy for spin coherent states defined on the sphere discussing different methods dealing with the time limit $n \to \infty$. In particular we propose an effective technique of computing the entropy by iterated function systems. The dependence of CS--measurement entropy on the character of the partition of the phase space is analysed.

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