München 2009 – scientific programme

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SYKO: Komplexität

SYKO 1: Complexity

SYKO 1.1: Plenary Talk

Monday, March 9, 2009, 13:00–13:35, A140

Chaoticity and Complexity — •Andreas Knauf — Fachbereich Mathematik, Universität Erlangen, Bismarckstr. 1, 91054 Erlangen

Chaoticity is a property shared by many dynamical systems, namely that one cannot predict the long term time evolution by a measurement of the initial state. This is measured by dynamical entropies. Classical dynamical systems are often chaotic whereas their quantum counterparts are not, that is, have zero dynamical entropy.

Complexity is a measure of how much the state of a composed system deviates from the product of state of its parts. The information geometry of quantum systems shows features not shared by classical systems.

We point out some of the above-mentioned phenomena and speculate about possible relations between them.