2005/07/22 by L. Kaplan
Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Spectroscopy and Quantum Chemical Studies #nlin.CD
paper · pdf · doi:10.1103/physreve.72.036214
published as Phys. Rev. E 72, 036214 (2005) · 13 pages, 6 figures, submitted to Phys Rev E
arxiv created 2005/07/22 · openalex publication_date 2005/09/21 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We examine spectral equilibration of quantum chaotic spectra to universal statistics in the context of the Brownian motion model. Two competing time scales, proportional and inversely proportional to the classical relaxation time, jointly govern the equilibration process. Multiplicity of quantum systems having the same semiclassical limit is not sufficient to obtain equilibration of any spectral modes in two-dimensional systems, while in three-dimensional systems equilibration for some spectral modes is possible if the classical relaxation rate is slow. Connections are made with upper bounds on semiclassical accuracy and with fidelity decay in the presence of a weak perturbation.