Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
arXiv:1009.0418 · doi:10.1103/PhysRevE.82.056208
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.
26 pages, 24 figures
References in corpus (17)
- Combining directional light output and ultralow loss in deformed microdisks
- Chaos-assisted directional light emission from microcavity lasers
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Dynamical tunneling in mushroom billiards
- Stickiness in mushroom billiards
- Regular-to-chaotic tunneling rates using a fictitious integrable system
- Quantum mushroom billiards
- Quality factors and dynamical tunneling in annular microcavities
- Flooding of regular islands by chaotic states
- Spectral properties of Bunimovich mushroom billiards
- Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
- Influence of classical resonances on chaotic tunnelling
- On dynamical tunneling and classical resonances
- Universality in the flooding of regular islands by chaotic states
- Resonance-assisted decay of nondispersive wave packets
- Quantum suppression of chaotic tunneling
- Recovery of chaotic tunneling due to destruction of dynamical localization by external noise