Multifractal analysis and randomness of almost periodic forced two-level systems

Numerical results of multifractal analysis of the (quantum) dynamics of forced two-level systems under some almost periodic time dependence are reported. The aims are to check the presence of multifractal characteristics of these systems, and also to inspect if different degrees of aperiodicities in the force are transferred to the system dynamics. Although the dynamics present signatures of the randomness of the perturbation, it does not follow strictly its autocorrelation type. The wavelet transform is the tool used to carry out the multifractal analysis.