Recent theoretical progress on an information geometrodynamical approach to chaos

Details Recent theoretical progress on an information geometrodynamical approach to chaos Recent theoretical progress on an information geometrodynamical approach to chaos

2008-10-25

arxiv.org/abs/0810.4625v1

AIP Conf. Proc. 1073, 16 (2008)

Physics

Mathematical Physics

5 pages, presented at the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods, Sao Paulo (Brazil)(Ju

Scientific paper

10.1063/1.3038996

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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