Colored noise in quantum chaos

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Apr;71(4 Pt 2):047202. doi: 10.1103/PhysRevE.71.047202. Epub 2005 Apr 14.

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(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.