Resonance states of the three-disk scattering system
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad100f |
| _version_ | 1797390314601709568 |
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| author | Jan Robert Schmidt Roland Ketzmerick |
| author_facet | Jan Robert Schmidt Roland Ketzmerick |
| author_sort | Jan Robert Schmidt |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-08T23:09:55Z |
| format | Article |
| id | doaj.art-e1e690c0b220437a96cc4f79954b985c |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-08T23:09:55Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e1e690c0b220437a96cc4f79954b985c2023-12-15T08:18:53ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251212303410.1088/1367-2630/ad100fResonance states of the three-disk scattering systemJan Robert Schmidt0https://orcid.org/0000-0003-3464-4472Roland Ketzmerick1https://orcid.org/0000-0002-2518-9343TU Dresden, Institute of Theoretical Physics and Center for Dynamics , 01062 Dresden, GermanyTU Dresden, Institute of Theoretical Physics and Center for Dynamics , 01062 Dresden, GermanyFor 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.https://doi.org/10.1088/1367-2630/ad100fquantum chaossemiclassical limitresonance statesthree-disk scattering systemfractal Weyl law |
| spellingShingle | Jan Robert Schmidt Roland Ketzmerick Resonance states of the three-disk scattering system New Journal of Physics quantum chaos semiclassical limit resonance states three-disk scattering system fractal Weyl law |
| title | Resonance states of the three-disk scattering system |
| title_full | Resonance states of the three-disk scattering system |
| title_fullStr | Resonance states of the three-disk scattering system |
| title_full_unstemmed | Resonance states of the three-disk scattering system |
| title_short | Resonance states of the three-disk scattering system |
| title_sort | resonance states of the three disk scattering system |
| topic | quantum chaos semiclassical limit resonance states three-disk scattering system fractal Weyl law |
| url | https://doi.org/10.1088/1367-2630/ad100f |
| work_keys_str_mv | AT janrobertschmidt resonancestatesofthethreediskscatteringsystem AT rolandketzmerick resonancestatesofthethreediskscatteringsystem |