Complex-Path Prediction of Resonance-Assisted Tunneling in Mixed Systems
arXiv:1609.09276 · doi:10.1103/PhysRevE.95.020202
Abstract
We present a semiclassical prediction of regular-to-chaotic tunneling in systems with a mixed phase space, including the effect of a nonlinear resonance chain. We identify complex paths for direct and resonance-assisted tunneling in the phase space of an integrable approximation with one nonlinear resonance chain. We evaluate the resonance-assisted contribution analytically and give a prediction based on just a few properties of the classical phase space. For the standard map excellent agreement with numerically determined tunneling rates is observed. The results should similarly apply to ionization rates and quality factors.
arXiv comment6 pages, 2 figures
References in corpus (27)
- Mayavi: a package for 3D visualization of scientific data
- First Experimental Evidence for Chaos-Assisted Tunneling in a Microwave Annular Billiard
- Chaos-assisted directional light emission from microcavity lasers
- Resonance-assisted tunneling in near-integrable systems
- Resonance-Assisted Tunneling
- Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
- Dynamical tunneling in mushroom billiards
- Resonance- and chaos-assisted tunneling in mixed regular-chaotic systems
- Regular-to-chaotic tunneling rates using a fictitious integrable system
- Ionization via Chaos Assisted Tunneling
- Dynamical tunneling in molecules: Quantum routes to energy flow
- Quality factors and dynamical tunneling in annular microcavities
- Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
- Decay of Quantum Accelerator Modes
- Experimental Observation of Resonance-Assisted Tunneling
- Observation of resonance-assisted dynamical tunneling in an asymmetric microcavity
- On dynamical tunneling and classical resonances
- Chaos-assisted emission from asymmetric resonant cavity microlasers
- Perturbation-Free Prediction of Resonance-Assisted Tunneling in Mixed Regular--Chaotic Systems
- Dynamical tunneling in molecules: role of the classical resonances and chaos
- Complex paths for regular-to-chaotic tunneling rates
- Resonance-assisted decay of nondispersive wave packets
- Origin of the enhancement of tunneling probability in the nearly integrable system
- Semiclassical description of resonance-assisted tunneling in one-dimensional integrable models
- Integrable Approximation of Regular Islands: The Iterative Canonical Transformation Method
- Integrable approximation of regular regions with a nonlinear resonance chain
- Resonance-assisted tunneling in mixed regular-chaotic systems
Cited by in corpus (5)
- NOON states with ultracold bosonic atoms via resonance- and chaos-assisted tunneling
- Creating triple-NOON states with ultracold atoms via chaos-assisted tunneling
- Resonance--Assisted Tunneling in Deformed Optical Microdisks with a Mixed Phase Space
- Resonance-assisted tunneling in 4D normal-form Hamiltonians
- Resonance spectra for quantum maps of kicked scattering systems by complex scaling