Journal of Statistical Physics, Vol. 62, Nos. 3/4, 1991. p. 779-791.
We study the dynamics of a two-level quantum system subject to a time-dependent kicking perturbation modulated along the Thue-Morse sequence. For a nontrivial set of the parameters, the quantum autocorrelation function is
explicitly calculated, and splits into a purely recurrent and a purely diffusive part. Furthermore, the diffusive part is directly related to the (singular continuous) correlation measure of the Thue-Morse sequence.