Quantum transport through partial barriers in higher-dimensional systems

• URL: http://arxiv.org/abs/2308.01162v1
• Date: Wed, 2 Aug 2023 14:07:15 GMT
• Title: Quantum transport through partial barriers in higher-dimensional systems
• Authors: Jonas St\"ober, Arnd B\"acker, Roland Ketzmerick
• Abstract summary: 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. This is numerically demonstrated for coupled kicked rotors with a partial barrier that generalizes a cantorus to higher dimensions.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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