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arXiv · 2012.02541

Universal intensity statistics of multifractal resonance states

Konstantin Clauß·Felix Kunzmann·Arnd Bäcker·Roland Ketzmerick
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Abstract

We conjecture that in chaotic quantum systems with escape the intensity statistics for resonance states universally follows an exponential distribution. This requires a scaling by the multifractal mean intensity which depends on the system and the decay rate of the resonance state. We numerically support the conjecture by studying the phase-space Husimi function and the position representation of resonance states of the chaotic standard map, the baker map, and a random matrix model, each with partial escape.

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Konstantin Clauß, Felix Kunzmann, Arnd Bäcker, Roland Ketzmerick. 2020-12-04. Universal intensity statistics of multifractal resonance states. https://doi.org/10.1103/physreve.103.042204

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