Multifractal fluctuations in the survival probability of an open quantum system

TL;DR

This paper predicts multifractal behavior in the transport properties of an open quantum system, specifically the delta-kicked rotor, highlighting complex correlations beyond previously observed mono-fractal fluctuations.

Contribution

It introduces the concept of multifractal fluctuations in quantum transport, extending prior mono-fractal findings to larger scales in the delta-kicked rotor model.

Findings

Multifractal behavior predicted in quantum transport signals.

Generalization of mono-fractal fluctuations to multifractal in the quantum regime.

Focus on intermediate and large scale correlations in the survival probability.

Abstract

We predict a multifractal behaviour of transport in the deep quantum regime for the opened $\delta-$kicked rotor model. Our analysis focuses on intermediate and large scale correlations in the transport signal and generalizes previously found parametric {\em mono}-fractal fluctuations in the quantum survival probability on small scales.