2005/07/31 by F. M. Izrailev, A. Castaneda-Mendoza, A. Castañeda-Mendoza · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum chaos and dynamical systems #cond-mat.dis-nn
paper · pdf · doi:10.1016/j.physleta.2005.10.077
published as Phys. Lett. A 350 (2006) 355 · 9 pages, 7 figures; revised version accepted for publication
arxiv created 2005/10/18 · openalex publication_date 2005/11/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We analyze, both analytically and numerically, the time-dependence of the return probability in closed systems of interacting particles. Main attention is paid to the interplay between two regimes, one of which is characterized by the Gaussian decay of the return probability, and another one is the well known regime of the exponential decay. Our analytical estimates are confirmed by the numerical data obtained for two models with random interaction. In view of these results, we also briefly discuss the dynamical model which was recently proposed for the implementation of a quantum computation.