2017/07/08 by Leonardo A. Pachón, Leonardo A. Pachon, A. Relaño +4 · 1 citation
Computer Science · Physics and Astronomy · #Computer science #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Scientific Research and Discoveries #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.98.042213
published as Phys. Rev. E 98, 042213 (2018) · 5 pages, 2 figures
openalex created_date 2016/06/24 · arxiv created 2017/07/08 · openalex publication_date 2018/10/19 · arxiv updated 2018/10/24 · openalex updated_date 2026/08/05
Based on the connection between the spectral form factor and the probability to return, the origin of the energy level fluctuation 1/f^\ensuremathα noise in fully chaotic and fully integrable systems is traced to the quantum interference between invariant manifolds of the classical dynamics and the dimensionality of those invariant manifolds. This connection and the order-to-chaos transition are analyzed in terms of the statistics of Floquet's quasienergies of a classically chaotic driving nonlinear system. An immediate prediction of the connection established here is that in the presence of decoherence, the spectral exponent \ensuremathα takes the same value, \ensuremathα=2, for both fully chaotic and fully integrable systems.