# 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/en/paper/2308.01162v1/

## Key points

- Investigate partial transport barriers in Hamiltonian systems
- Barriers restrict flux between chaotic phase-space regions, allowing limited transport
- Focus on higher-dimensional systems
- Quantum transport through partial barriers transitions from suppression to mimicking classical transport
- Scaling parameter characterizes this transition, involving flux, size of a Planck cell, and localization length
- Numerical demonstration using coupled kicked rotors with a generalized cantorus in higher dimensions
- Partial barriers affect transport in classical and quantum systems
- Universal transition provides insights into chaos and transport in higher-dimensional Hamiltonian systems
- Implications for condensed matter physics and quantum information science

## Summary

In this study, the authors investigate the phenomenon of partial transport barriers in Hamiltonian systems and their influence on classical and quantum transport. These barriers restrict the flux between chaotic phase-space regions, allowing only a small amount of transport. The researchers focus specifically on higher-dimensional systems and establish that quantum transport through such partial barriers undergoes a universal transition from quantum suppression to mimicking classical transport. The scaling parameter that characterizes this transition involves several factors, including the flux, the size of a Planck cell, and the localization length resulting from dynamical localization along a resonance channel. To demonstrate these findings numerically, the authors use coupled kicked rotors with a partial barrier that generalizes a cantorus (a torus with self-retracing trajectories) to higher dimensions. This research sheds light on how partial barriers affect transport in both classical and quantum systems. By identifying the universal transition from quantum suppression to classical-like behavior, the authors provide valuable insights into the interplay between chaos and transport in higher-dimensional Hamiltonian systems. This work has implications for various fields such as condensed matter physics and quantum information science.