Evidence for the Validity of the Berry-Robnik Surmise in a Periodically Pulsed Spin System

Abstract

We study the statistical properties of the spectrum of a quantum dynamical system whose classical counterpart has a mixed phase space structure consisting of two regular regions separated by a chaotical one. We make use of a simple symmetry of the system to separate the eigenstates of the time-evolution operator into two classes in agreement with the Percival classification scheme \cite{Per}. We then use a method firstly developed by Bohigas et. al. \cite{BoUlTo} to evaluate the fractional measure of states belonging to the regular class, and finally present the level spacings statistics for each class which confirm the validity of the Berry-Robnik surmise in our model.

15 pages, 9 figures available upon request, Latex file

References in corpus (2)

• Hypersensitivity to perturbation in the quantum kicked top
• SUPPLEMENT TO THE PAPER: Separating the regular and irregular energy levels and their statistics in Hamiltonian system with mixed classical dynamics

Cited by in corpus (2)

• On the Convergence to Ergodic Behaviour of Quantum Wave Functions
• Crossover Between Organized and Disorganized States In Some Non-Equilibrium Systems