NONPERTURBATIVE METHODS FOR THE STUDY OF MULTIPHOTON DYNAMICS IN INTENSE PERIODIC AND MULTICOLOR LASER FIELDS

Abstract

We present a brief account of some recently developed generalized Floquet methods (both time-dependent and time-independent) for the nonperturbative treatment of the time-development of wavefunctions or the density matrix operator of quantum systems driven by intense periodic or multi-color (multi-frequency) laser fields. Both the Schrodinger and Liouville equations are considered. We also explore the feasibility of the fast Fourier transformation (FFT) propagation method for the study of Rydberg atom dynamics. We then present a FFT case study of the time propagation of the wavefunction and coarse-grained Wigner density distribution for the problem of microwave-driven multiphoton excitation and ionization of Rydberg hydrogen atoms.