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Colored Noise in Quantum Chaos

Luca Salasnich
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Abstract

We derive a set of spectral statistics whose power spectrum is characterized, in the case of chaotic quantum systems, by colored noise $1/f^γ$, where the integer parameter $γ$ critically depends on the specific energy-level statistic considered. In the case of regular quantum systems these spectral statistics show $1/f^{γ+1}$ noise.

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Luca Salasnich. 2005-02-15. Colored Noise in Quantum Chaos. https://doi.org/10.1103/physreve.71.047202

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