Universal Parametric Correlations of Eigenfunctions in Chaotic and Disordered Systems

TL;DR

This paper demonstrates the universal behavior of eigenfunction correlations in chaotic and disordered systems using random matrix theory and numerical verification, revealing fundamental patterns across different models.

Contribution

It establishes the universality of parametric eigenfunction correlations and provides analytical predictions supported by numerical evidence.

Findings

Universal parametric correlations confirmed in models

Analytical predictions verified numerically

Applicable to chaotic and weakly disordered systems

Abstract

This paper establishes the universality of parametric correlations of eigenfunctions in chaotic and weakly disordered systems. We demonstrate this universality in the framework of the gaussian random matrix process and obtain predictions for a number of parametric correlators, one of them analytically. We present numerical evidence from different models that verifies our predictions.