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arXiv · 2507.10431

Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization

Florian Lorenz·Jan Möseritz-Schmidt·Roland Ketzmerick
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Abstract

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.

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Florian Lorenz, Jan Möseritz-Schmidt, Roland Ketzmerick. 2025-07-14. Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization. https://doi.org/10.1088/1367-2630%2Fae1e25

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