Left-Right Husimi Representation of Chaotic Resonance States: Invariance and Factorization
arXiv:2507.10431 · doi:10.1088/1367-2630/ae1e25
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.
arXiv comment19 pages, 10 figures
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