Dynamical stabilization of the initial state in a periodically kicked one-dimensional Rydberg atom

We investigate the dynamical stabilization of the initial state of a one-dimensional Rydberg atom subjected to a periodic train of half-cycle pulses. A survival probability of the initial state as a function of pulse repetition frequency is presented for different values of momentum transferred to the electron. This survival probability exhibits a broad maximum at train repetition frequencies close to the classical orbital frequency provided that the momentum is negative. There is no such behaviour for positive momentum transferred to the electron.