Quantum transport through partial barriers in higher-dimensional systems

TL;DR

This paper investigates how quantum transport behaves in higher-dimensional chaotic systems with partial barriers, revealing a universal transition from quantum suppression to classical-like transport influenced by system parameters.

Contribution

It establishes a universal transition framework for quantum transport through partial barriers in higher-dimensional systems, extending previous understanding to more complex dynamics.

Findings

Quantum transport transitions from suppression to classical behavior.

The transition depends on flux, Planck cell size, and localization length.

Numerical demonstration using coupled kicked rotors with generalized barriers.

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.