# Quantum transport through partial barriers in higher-dimensional systems

**Authors:** Jonas Stöber, Arnd Bäcker, Roland Ketzmerick  
**arXiv:** [2308.01162](https://arxiv.org/abs/2308.01162)  
**Date:** 2023-08-02  
**Summary page:** https://www.summarizepaper.com/fr/paper/2308.01162v1/

## Abstract

Partial transport barriers in the chaotic sea of Hamiltonian systems influence classical transport, as they allow for a small flux between chaotic phase-space regions only. We establish for higher-dimensional systems that quantum transport through such a partial barrier follows a universal transition from quantum suppression to mimicking classical transport. The scaling parameter involves the flux, the size of a Planck cell, and the localization length due to dynamical localization along a resonance channel. This is numerically demonstrated for coupled kicked rotors with a partial barrier that generalizes a cantorus to higher dimensions.