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Journal Article

Universal intensity statistics of multifractal resonance states

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Bäcker,  Arnd
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Ketzmerick,  Roland
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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2012.02541.pdf
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Citation

Clauss, K., Kunzmann, F., Bäcker, A., & Ketzmerick, R. (2021). Universal intensity statistics of multifractal resonance states. Physical Review E, 103(4): 042204. doi:10.1103/PhysRevE.103.042204.


Cite as: https://hdl.handle.net/21.11116/0000-0008-E044-E
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.