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 (9)

• Riemannian theory of Hamiltonian chaos and Lyapunov exponents
• Maximum Entropy and Bayesian Data Analysis: Entropic Priors
• Collective Chaos
• Jacobi Fields on Statistical Manifolds of Negative Curvature
• From Information Geometry to Newtonian Dynamics
• Entropic Dynamics
• Insufficient reason and entropy in quantum theory
• Information Geometry and Chaos on Negatively Curved Statistical Manifolds
• An Application of Reversible Entropic Dynamics on Curved Statistical Manifolds

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• Application of the Maximum relative Entropy method to the physics of ferromagnetic materials
• Information Geometric Modeling of Scattering Induced Quantum Entanglement
• Maximum Caliber Inference and the Stochastic Ising Model
• Complexity of Pure and Mixed Qubit Geodesic Paths on Curved Manifolds
• Information Geometry of Quantum Entangled Gaussian Wave-Packets
• Theoretical investigations of an information geometric approach to complexity
• Complexity Characterization in a Probabilistic Approach to Dynamical Systems Through Information Geometry and Inductive Inference