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

2025/07/14 by Lorenz, Florian, Möseritz-Schmidt, Jan, Ketzmerick, Roland
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2507.10431

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.

Citations

• Effects of stickiness on the quantum states of strongly chaotic open systems
• Exploring quantum localization with machine learning
• Average localization of resonances on the quantum repeller
• Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
• Universality in spectral statistics of "open" quantum graphs
• Quantum decay rates in chaotic scattering
• Husimi functions at dielectric interfaces: Inside-outside duality for optical systems and beyond
• Quantum Fractal Eigenstates
• Divergence measures based on the Shannon entropy

Related

• Resonant eigenstates in quantum chaotic scattering
• Resonance states at Casati wave numbers for the 3-disk billiard
• Numerical Study of Quantum Resonances in Chaotic Scattering
• Phase-Space Correlations of Chaotic Eigenstates
• Subtle Nuances between Quantum and Classical regimes