2004/02/17 by E. Faleiro, José María Gómez Gómez, J. M. G. Gómez +7 · 118 citations
Mathematics · Physics and Astronomy · #Algorithm #Chaos control and synchronization #Chaotic #Computer science #Conjecture #Eigenvalues and eigenvectors #Integrable system #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum chaos #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Scientific Research and Discoveries #Semiclassical physics #Spectral density #Statistical physics #Statistics #nlin.CD
paper · pdf · doi:10.1103/physrevlett.93.244101
published in Physical Review Letters 93(24), 244101 (American Physical Society) · 5 pages (Latex), 3 figures
arxiv created 2004/02/17 · openalex publication_date 2004/12/06 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/06
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 power spectrum behavior of the excitation energy fluctuations, which is different for chaotic and integrable systems. Using random matrix theory, we derive theoretical expressions that explain without free parameters the universal behavior of the excitation energy fluctuations power spectrum. The theory gives excellent agreement with numerical calculations and reproduces to a good approximation the 1/f (1/f(2)) power law characteristic of chaotic (integrable) systems. Moreover, the theoretical results are valid for semiclassical systems as well.