This article introduces the abstract notion of finite wave packet groups over finite fields as the finite group of dilations, translations, and modulations. Then it presents a unified theoretical linear algebra approach to the theory of wave packet transforms (WPT) over finite fields. It is shown that each vector defined over a finite field can be represented as a finite coherent sum of wave pa...

A short microwave pulse is used to ionize a lithium Rydberg wave packet launched from the core at a well-defined phase of the field. We observe a strong dependence on the relative phase between the motion of the wave packet and the oscillations of the field. This phase dependent ionization is also studied as a function of the relative frequency. Our experimental observations are in good qualita...