Colored Noise in Quantum Chaos

2005/02/15 by Luca Salasnich · 1 citation
Physics and Astronomy · #cond-mat.stat-mech #nlin.CD

paper · pdf · doi:10.1103/physreve.71.047202

published as Phys. Rev. E 71, 047202 (2005) · 3 pages, 2 figures, accepted for publication in Phys. Rev. E

arxiv created 2005/02/15 · arxiv updated 2009/12/01

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.

Cited by

• Experimental study of coupled quantum billiards with integrable and chaotic classical dynamics and test of a special Rosenzweig-Porter model