Quantum suppression of chaotic tunneling

TL;DR

This paper explores how dynamical localization suppresses chaotic tunneling in quantum systems, revealing a strong correlation between tunneling and transport in mixed phase space through semiclassical analysis and numerical experiments.

Contribution

It introduces a novel semiclassical framework linking chaotic tunneling and dynamical localization, predicting quantum suppression effects in mixed phase space.

Findings

Chaotic tunneling is suppressed by dynamical localization.

Complex classical orbits describe the correlation between tunneling and transport.

Numerical experiments confirm the suppression due to destructive interference.

Abstract

The interplay between chaotic tunneling and dynamical localization in mixed phase space is investigated. Semiclassical analysis using complex classical orbits reveals that tunneling through torus regions and transport in chaotic regions are not independent processes, rather they are strongly correlated and described by complex orbits with both properties. This predicts a phenomenon analogous to the quantum suppression of classical diffusion: chaotic tunneling is suppressed as a result of dynamical localization in chaotic regions. This hypothesis is confirmed by numerical experiments where the effect of destructive interference is attenuated.