Hidden quantum-classical correspondence in chaotic billiards revealed by mutual information
Year: 2025
Type: article
Abstract: Avoided level crossings, commonly associated with quantum chaos, are typically interpreted as signatures of eigenstate hybridization and spatial delocalization, often viewed as ergodic spreading. We show that, contrary to this expectation, increasing chaos in quantum billiards enhances mutual information between conjugate phase space variables, revealing nontrivial correlations. Using an information-theoretic decomposition of eigenstate entropy, we demonstrate that spatial delocalization may coincide with increased mutual information between position and momentum. These correlations track classical invariant structures in phase space and persist beyond the semiclassical regime, suggesting a robust information-theoretic manifestation of quantum-classical correspondence.
Source: Physical review. E
DOI: 10.1103/qpxx-csdj
Authors: Kyu-Won Park, Soojoon Lee, Kabgyun Jeong
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
Funders: National Research Foundation, Ministry of Science, ICT and Future Planning, Korea Institute of Science and Technology, Korea Institute of Science and Technology Information, National Research Foundation of Korea, Ministry of Science and ICT, South Korea, Institute for Information and Communications Technology Promotion
OpenAlex ID: W4412967117