Breakdown of Universality in Quantum Chaotic Transport: the Two-Phase Dynamical Fluid Model

TL;DR

This paper explores how quantum chaotic systems exhibit non-universal conductance fluctuations due to the separation of phase space into stochastic and deterministic regions, affecting transport properties in the semiclassical limit.

Contribution

It introduces a two-phase dynamical fluid model explaining the breakdown of universality in quantum chaotic transport phenomena.

Findings

Conductance fluctuations are non-universal due to phase space separation.

A finite stochastic phase maintains some universality in conductance fluctuations.

Transport properties are influenced by classical chaotic dynamics in the quantum regime.

Abstract

We investigate the transport properties of open quantum chaotic systems in the semiclassical limit. We show how the transmission spectrum, the conductance fluctuations, and their correlations are influenced by the underlying chaotic classical dynamics, and result from the separation of the quantum phase space into a stochastic and a deterministic phase. Consequently, sample-to-sample conductance fluctuations lose their universality, while the persistence of a finite stochastic phase protects the universality of conductance fluctuations under variation of a quantum parameter.