Fractional Revival of Rydberg Wave Packets in Twice-Kicked One-Dimensional Atoms

We study revival and fractional revival phenomena of wave packets in a one-dimensional Rydberg atom irradiated by two time-delayed half-cycle pulses using an autocorrelation function characterized by electronic transition probabilities as weighting factors rather than modeling them by a Gaussian or Lorentzian distribution. If the momentum $(q_2)$ delivered to the atom by the second kick is much smaller than that $(q_1)$ imparted by the first one, the times of revival and fractional revival coincide with those of the single kicked atom. For $q_2$ ≥ $q_{1}//4$ appearance of revival and fractional revival depends on both the values of $q_2$ and time delay $t_1$ between the pulses but more sensitively on $t_1$. The number of fractional revivals tends to become numerous as the value of $t_1$ increases.