Information Geometry, Inference Methods and Chaotic Energy Levels Statistics
Carlo Cafaro
TL;DR
This paper introduces an information-geometric approach to distinguish chaotic and integrable energy level statistics in a quantum spin chain, with potential applications in quantum energy level analysis.
Contribution
It presents a novel information-geometric framework for characterizing quantum energy level statistics in spin chains, linking geometry with chaos and integrability.
Findings
New geometric characterization of energy level statistics
Potential applications in quantum energy level analysis
Conjectured relevance to physical quantum systems
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.
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