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Open Quantum Systems Decoherence

Universal intensity statistics of multifractal resonance states

arXiv
Authors: Konstantin Clauß, Felix Kunzmann, Arnd Bäcker, Roland Ketzmerick

Year

2020

Paper ID

18727

Status

Preprint

Abstract Read

~2 min

Abstract Words

77

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
  • It adds a 2020 reference point for readers tracking recent quantum research.
  • We conjecture that in chaotic quantum systems with escape the intensity statistics for resonance states universally follows an exponential distribution.

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