  It was recently conjectured that 1/f noise is a fundamental characteristic of
spectral fluctuations in chaotic quantum systems. This conjecture is based on
the behavior of the power spectrum of the excitation energy fluctuations, which
is different for chaotic and integrable systems. Using random matrix theory we
derive theoretical expressions that explain the power spectrum behavior at all
frequencies. These expressions reproduce to a good approximation the power laws
of type 1/f (1/f^2) characteristics of chaotic (integrable) systems, observed
in almost the whole frequency domain. Although we use random matrix theory to
derive these results, they are also valid for semiclassical systems.

Chaotic Dynamics