Revival of ionization probability for a twice kicked ID Rydberg atom

The ionization probability for a one-dimensional (1D) Rydberg atom interacting with two short half-cycle pulses is calculated as a function of the time delay between them. The impulse and semiclassical approximations are used. The ionization probability oscillates with a Kepler period around some constant value evaluated analytically too. The oscillations exhibit the quantum-mechanical revival and depend on the orientation of the momentum transfer and the principal quantum number of the initial state.