Universal parametric correlations in the classical limit of quantum transport

TL;DR

This paper demonstrates that in the semiclassical limit, quantum transport in chaotic cavities exhibits universal parametric correlations that are distinct from predictions of random matrix theory, revealing fundamental aspects of quantum-classical correspondence.

Contribution

It uncovers a new universal parametric dependence of quantum corrections in ballistic chaotic cavities in the semiclassical limit, beyond random matrix theory predictions.

Findings

Quantum corrections show universal parametric dependence in the semiclassical limit.

This dependence differs from random matrix theory predictions.

The results connect quantum transport properties with classical dynamics.

Abstract

Quantum corrections to transport through a chaotic ballistic cavity are known to be universal. The universality not only applies to the magnitude of quantum corrections, but also to their dependence on external parameters, such as the Fermi energy or an applied magnetic field. Here we consider such parameter dependence of quantum transport in a ballistic chaotic cavity in the semiclassical limit obtained by sending Planck's constant to zero without changing the classical dynamics of the open cavity. In this limit quantum corrections are shown to have a universal parametric dependence which is not described by random matrix theory.