Information Geometry, Inference Methods and Chaotic Energy Levels Statistics

Abstract

In this Letter, we propose a novel information-geometric characterization of chaotic (integrable) energy level statistics of a quantum antiferromagnetic Ising spin chain in a tilted (transverse) external magnetic field. Finally, we conjecture our results might find some potential physical applications in quantum energy level statistics.

9 pages, added correct journal reference

References in corpus (3)

• Jacobi Fields on Statistical Manifolds of Negative Curvature
• From Information Geometry to Newtonian Dynamics
• Information Geometry and Chaos on Negatively Curved Statistical Manifolds

Cited by in corpus (1)

• Can chaotic quantum energy levels statistics be characterized using information geometry and inference methods?