Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918213021859840 |
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| author | Lorenz, Florian Möseritz-Schmidt, Jan Ketzmerick, Roland |
| author_facet | Lorenz, Florian Möseritz-Schmidt, Jan Ketzmerick, Roland |
| contents | For chaotic scattering systems we investigate the left-right Husimi representation, which combines left and right resonance states. We demonstrate that the left-right Husimi representation is invariant in the semiclassical limit under the corresponding closed classical dynamics, which we call quantum invariance. Furthermore, we show that it factorizes into a classical multifractal structure times universal quantum fluctuations. Numerical results for a dielectric cavity, the three-disk scattering system, and quantum maps confirm both the quantum invariance and the factorization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_10431 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization Lorenz, Florian Möseritz-Schmidt, Jan Ketzmerick, Roland Chaotic Dynamics Quantum Physics For chaotic scattering systems we investigate the left-right Husimi representation, which combines left and right resonance states. We demonstrate that the left-right Husimi representation is invariant in the semiclassical limit under the corresponding closed classical dynamics, which we call quantum invariance. Furthermore, we show that it factorizes into a classical multifractal structure times universal quantum fluctuations. Numerical results for a dielectric cavity, the three-disk scattering system, and quantum maps confirm both the quantum invariance and the factorization. |
| title | Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization |
| topic | Chaotic Dynamics Quantum Physics |
| url | https://arxiv.org/abs/2507.10431 |