1999/09/30 by Doron Cohen, F. M. Izrailev, Felix M. Izrailev +1 · 3 citations
Chemistry · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Crossover #Matrix (chemical analysis) #Molecular spectroscopy and chirality #Physics #Quantum #Quantum chaos and dynamical systems #Quantum mechanics #Random matrix #Space (punctuation) #Statistical physics #Wave packet #chao-dyn #cond-mat #nlin.CD
paper · pdf · doi:10.1103/physrevlett.84.2052
published as Phys. Rev. Lett. 84, 2052 (2000). · 4 pages, 4 figures, improved version, to be published in Phys. Rev. Lett
arxiv created 2000/01/07 · openalex publication_date 2000/03/06 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We apply random-matrix-theory (RMT) to the analysis of evolution of wave packets in energy space. We study the crossover from ballistic behavior to saturation, the possibility of having an intermediate diffusive behavior, and the feasibility of strong localization effect. Both theoretical considerations and numerical results are presented. Using quantal-classical correspondence considerations we question the validity of the emerging dynamical picture. In particular, we claim that the appearance of the intermediate diffusive behavior is possibly an artifact of the RMT strategy.