Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
arXiv:2203.09752 · doi:10.1103/PhysRevLett.129.193901
Abstract
We conjecture that chaotic resonance modes in scattering systems are a product of a conditionally invariant measure from classical dynamics and universal exponentially distributed fluctuations. The multifractal structure of the first factor depends strongly on the lifetime of the mode and describes the average of modes with similar lifetime. The conjecture is supported for a dielectric cavity with chaotic ray dynamics at small wavelengths, in particular for experimentally relevant modes with longest lifetime. We explain scarring of the vast majority of modes along segments of rays based on multifractality and universal fluctuations, which is conceptually different from periodic-orbit scarring.
published, 7 pages, 5 figures, for supplemental material with gallery of modes including high-resolution scarred mode, see http://dx.doi.org/10.25532/OPARA-191
References in corpus (19)
- Combining directional light output and ultralow loss in deformed microdisks
- Chaos-assisted directional light emission from microcavity lasers
- Fractal Weyl laws for chaotic open systems
- Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
- Quantum-to-classical crossover of quasi-bound states in open quantum systems
- Semiclassical structure of chaotic resonance eigenfunctions
- Resonances in open quantum maps
- Classical Phase Space Revealed by Coherent Light
- Expanded boundary integral method and chaotic time-reversal doublets in quantum billiards
- Scarring in open quantum systems
- Spatial structure of lasing modes in wave-chaotic semiconductor microcavities
- Resonance distribution in open quantum chaotic systems
- On the resonance eigenstates of an open quantum baker map
- Wave interference effect on polymer microstadium laser
- Universal intensity statistics of multifractal resonance states
- Phase-space correlations of chaotic eigenstates
- Universal single-mode lasing in fully chaotic two-dimensional microcavity lasers under continuous-wave operation with large pumping power
- Chaotic Explosions
- Local random vector model for semiclassical fractal structure of chaotic resonance states