Colored Noise in Quantum Chaos

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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3 pages, 2 figures, accepted for publication in Phys. Rev. E

Scientific paper

10.1103/PhysRevE.71.047202

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

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