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Updated: Jun 5, 2026

Scalable Quantum Integrated Circuits on Superconducting Two-Dimensional Electron Gas Platform
Published on: August 2, 2019
Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach
Arnd Bäcker1, Roland Ketzmerick, Steffen Löck
1Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany.
Abstract:
We review the fictitious integrable system approach which predicts dynamical tunneling rates from regular states to the chaotic region in systems with a mixed phase space. It is based on the introduction of a fictitious integrable system that resembles the regular dynamics within the regular island. We focus on the direct regular-to-chaotic tunneling process which dominates if nonlinear resonances within the regular island are not relevant. For quantum maps, billiard systems, and optical microcavities, we find excellent agreement with numerical rates for all regular states.
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