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.
arXiv commentpublished, 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 (51)
- High-Power Directional Emission from Microlasers with Chaotic Resonators
- Ray and wave chaos in asymmetric resonant optical cavities
- Combining directional light output and ultralow loss in deformed microdisks
- Boundary element method for resonances in dielectric microcavities
- Dramatic Shape Sensitivity of Directional Emission Patterns from Similarly Deformed Cylindrical Polymer Lasers
- Leaking Chaotic Systems
- Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
- Quasi-Scarred Resonances in a Spiral-Shaped Microcavity
- 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
- Recent Developments in the Theory of Scarring
- Chaotic Microcavity Laser with Low threshold and Unidirectional Output
- Quantum Mechanics and Semiclassics of Hyperbolic n-Disk Scattering Systems
- Semiclassical structure of chaotic resonance eigenfunctions
- Ray-wave correspondence in limacon-shaped semiconductor microcavities
- Quantum Poincaré Recurrences
- Numerical Study of Quantum Resonances in Chaotic Scattering
- Control of lasing in fully chaotic open microcavities by tailoring the shape factor
- Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
- Resonances in open quantum maps
- Signature of ray chaos in quasi-bound wave functions for a stadium-shaped dielectric cavity
- Classical Phase Space Revealed by Coherent Light
- Expanded boundary integral method and chaotic time-reversal doublets in quantum billiards
- Localization of resonance eigenfunctions on quantum repellers
- Trace formula for dieletric cavities : I. General properties
- Quantum chaotic resonances from short periodic orbits
- Signature of Wave Chaos in Spectral Characteristics of Microcavity Lasers
- Internal and External Resonances of Dielectric Disks
- Scarring in open quantum systems
- Universal Quantum Localizing Transition of a Partial Barrier in a Chaotic Sea
- Spatial structure of lasing modes in wave-chaotic semiconductor microcavities
- About ergodicity in the family of limacon billiards
- Resonance distribution in open quantum chaotic systems
- On the resonance eigenstates of an open quantum baker map
- Resonance eigenfunction hypothesis for chaotic systems
- Wave interference effect on polymer microstadium laser
- Formation and interaction of resonance chains in the open 3-disk system
- Structure of resonance eigenfunctions for chaotic systems with partial escape
- Short periodic orbits theory for partially open quantum maps
- Localization of Chaotic Resonance States due to a Partial Transport Barrier
- Universal intensity statistics of multifractal resonance states
- Super-sharp resonances in chaotic wave scattering
- Multifractality of open quantum systems
- 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
- Resonance--Assisted Tunneling in Deformed Optical Microdisks with a Mixed Phase Space
- Chaotic Explosions
- The role of short periodic orbits in quantum maps with continuous openings
- Local random vector model for semiclassical fractal structure of chaotic resonance states