Universal intensity statistics of multifractal resonance states

• URL: http://arxiv.org/abs/2012.02541v2
• Date: Thu, 22 Apr 2021 21:22:46 GMT
• Title: Universal intensity statistics of multifractal resonance states
• Authors: Konstantin Clau{\ss}, Felix Kunzmann, Arnd B\"acker, and Roland Ketzmerick
• Abstract summary: We conjecture that in chaotic quantum systems with escape the intensity statistics for resonance states universally follows an exponential distribution. We numerically support the conjecture by studying the phase-space Husimi function and the position representation of resonance states of the chaotic standard map.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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