Work

Eigenfunction Entropy and Spectral Compressibility for Critical Random Matrix Ensembles

Year: 2011

Type: article

Abstract: Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D(1) and the spectral compressibility χ are related by the simple equation χ+D(1)/d=1, where d is system dimensionality.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.106.044101

Authors: E. Bogomolny, O. Giraud

Institutions: Université Paris-Sud, Centre National de la Recherche Scientifique, Laboratoire de Physique Théorique et Modèles Statistiques

Language: English

Topic: Quantum chaos and dynamical systems

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Abdus Salam International Centre for Theoretical Physics

OpenAlex ID: W2081134874

FWCI: 5.219

Cites: 19

Cited by: 77

Related to: 10