Quantum suppression of chaotic tunneling

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.

10 pages, 4 figures

References in corpus (10)

• Resonance-assisted tunneling in near-integrable systems
• Resonance-Assisted Tunneling
• Complex Periodic Orbits and Tunnelling in Chaotic Potentials
• Julia set describes quantum tunneling in the presence of chaos
• Tunneling Mechanism due to Chaos in a Complex Phase Space
• Flooding of regular islands by chaotic states
• Eigenstates Ignoring Regular and Chaotic Phase-Space Structures
• Homoclinic Structure Controls Chaotic Tunnelling
• Influence of classical resonances on chaotic tunnelling
• Semiclassical dynamical localization and the multiplicative semiclassical propagator

Cited by in corpus (7)

• Regular-to-chaotic tunneling rates using a fictitious integrable system
• Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
• Chaos-assisted tunneling resonances in a synthetic Floquet superlattice
• Chaotic systems in complex phase space
• Dynamical Tunneling in Many-Dimensional Chaotic Systems
• Quantum Enhancement of Thermalization
• Recovery of chaotic tunneling due to destruction of dynamical localization by external noise