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arXiv · 0810.4625

Recent theoretical progress on an information geometrodynamical approach to chaos

Carlo Cafaro
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Abstract

In this paper, we report our latest research on a novel theoretical information-geometric framework suitable to characterize chaotic dynamical behavior of arbitrary complex systems on curved statistical manifolds. Specifically, an information-geometric analogue of the Zurek-Paz quantum chaos criterion of linear entropy growth and an information-geometric characterization of chaotic (integrable) energy level statistics of a quantum antiferromagnetic Ising spin chain in a tilted (transverse) external magnetic field are presented.

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Carlo Cafaro. 2008-10-25. Recent theoretical progress on an information geometrodynamical approach to chaos. https://doi.org/10.1063/1.3038996

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