Adiabatic excitation and stabilization in short-range potentials

We examine the role of the turn-on time of intense laser fields in the adiabatic stabilization of an electron bound in a short-range potential. We use the Kramers-Henneberger (KH) frame and examine both bound-state dynamics (of the Kramers-Henneberger time-averaged Hamiltonian and of the field-free Hamiltonian) and the ionization dynamics for ramped field turn-on. We examine the role of superpositions of KH states in the time-evolved wavepacket induced by such a field and the interference between the components in the superposition in the population dynamics.