NUMERICAL STUDY OF THE LONG-TIME BEHAVIOR OF QUANTUM-SYSTEMS DRIVEN BY THUE-MORSE FORCES - APPLICATION TO 2-LEVEL SYSTEMS

We study quantum systems with Thue-Morse kicked Hamiltonians. Very sim ple and effective algorithms for the numerical computation of autocorr elation functions, polarization fluctuations and decaying properties o f Fourier amplitude intensity are presented. We study in detail the ca se of a two-level system which has interest per se; on account of the numerical results we conjecture that generically this system has a sin gular continuous-like dynamical evolution.