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arXiv · 2308.01162

Quantum transport through partial barriers in higher-dimensional systems

Jonas Stöber·Arnd Bäcker·Roland Ketzmerick
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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.

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Jonas Stöber, Arnd Bäcker, Roland Ketzmerick. 2023-08-02. Quantum transport through partial barriers in higher-dimensional systems. https://arxiv.org/abs/2308.01162

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