Localization of Chaotic Resonance States due to a Partial Transport Barrier
arXiv:1509.00665 · doi:10.1103/PhysRevLett.115.254101
Abstract
Chaotic eigenstates of quantum systems are known to localize on either side of a classical partial transport barrier if the flux connecting the two sides is quantum mechanically not resolved due to Heisenberg's uncertainty. Surprisingly, in open systems with escape chaotic resonance states can localize even if the flux is quantum mechanically resolved. We explain this using the concept of conditionally invariant measures from classical dynamical systems by introducing a new quantum mechanically relevant class of such fractal measures. We numerically find quantum-to-classical correspondence for localization transitions depending on the openness of the system and on the decay rate of resonance states.
5+1 pages, 4 figures
References in corpus (11)
- Combining directional light output and ultralow loss in deformed microdisks
- PT-Symmetric Wave Chaos
- Chaos-assisted directional light emission from microcavity lasers
- Fractal Weyl laws for chaotic open systems
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Semiclassical structure of chaotic resonance eigenfunctions
- Fractal Weyl law for chaotic microcavities: Fresnel's laws imply multifractal scattering
- Resonances in open quantum maps
- From scattering theory to complex wave dynamics in non-hermitian PT-symmetric resonators
- Resonance distribution in open quantum chaotic systems
- Quantum signatures of classical multifractal measures
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- Resonance eigenfunction hypothesis for chaotic systems
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- Lyapunov exponents and Hamiltonian poles in a non Hermitian dynamics
- Local random vector model for semiclassical fractal structure of chaotic resonance states
- Resonance spectra for quantum maps of kicked scattering systems by complex scaling
- Classical Drift in the Arnold Web Induces Quantum Delocalization Transition
- Mathematical Study of Scattering Resonances