Resonance states of the three-disk scattering system

Autor: Jan Robert Schmidt, Roland Ketzmerick
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: New Journal of Physics, Vol 25, Iss 12, p 123034 (2023)
Druh dokumentu: article
ISSN: 1367-2630
DOI: 10.1088/1367-2630/ad100f
Popis: For the paradigmatic three-disk scattering system, we confirm a recent conjecture for open chaotic systems, which claims that resonance states are composed of two factors. In particular, we demonstrate that one factor is given by universal exponentially distributed intensity fluctuations. The other factor, supposed to be a classical density depending on the lifetime of the resonance state, is found to be very well described by a classical construction. Furthermore, ray-segment scars, recently observed in dielectric cavities, dominate every resonance state at small wavelengths also in the three-disk scattering system. We introduce a new numerical method for computing resonances, which allows for going much further into the semiclassical limit. As a consequence we are able to confirm the fractal Weyl law over a correspondingly large range.
Databáze: Directory of Open Access Journals