Recent theoretical progress on an information geometrodynamical approach to chaos
arXiv:0810.4625 · doi:10.1063/1.3038996
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.
5 pages, presented at the 28th International Workshop on Bayesian Inference and Maximum Entropy Methods, Sao Paulo (Brazil)(July-2008)