Numerical modeling of dynamics of populations in hydrogen atom under the action of ultra-short laser pulses

We present the results of the research of population dynamics in a hydrogen atom driven by the ultra-short laser pulses. The possibility to produce a wave packet of Rydberg states with high values of orbital and magnetic quantum numbers is studied numerically depending on duration and shape of a pulse. The wave packet formation is simulated by direct numerical solution of the Schrodinger equation using a large number of basis states both of discrete and continuous spectrum. The continuous spectrum is approximated by a large finite number of states separated by a small wavenumber interval. The conditions of increasing of angular momentum and its projection in system are considered.