The response of quasi-one-dimensional very-high-
n Rydberg atoms to a periodic train of short unidirectional electric-field pulses, termed half-cycle pulses (HCPs), is studied at high scaled frequencies. Pronounced nonmonotonic structure in the survival probability is observed as
N, the number of HCPs in the train is increased, the survival probability actually increasing with
N over certain ranges of
N. This behavior is very sensitive to the polarization of the Rydberg states and is explained with the aid of classical simulations.
We theoretically investigate a proposed scheme to use an atomic $\ensuremath{\delta}$-kicked rotor resonance for high-precision measurements of accelerations and the photon recoil frequency. Although the technique offers rapid scaling of the measurement sensitivity with pulse number, it also features a high sensitivity to initial atomic momentum. We find that for realistic atom sources, the momentum sensitivity significantly limits the achievable precision. We consider several different variations on the technique, but find similar limitations in all cases.