We reconsider a variant of the one-atom-maser setup in which the emerg
ing atoms are probed for coherent superpositions of the two Rydberg st
ates of the maser transition. The statistical properties of the corres
ponding detector clicks contain information about the temporal evoluti
on of the phase of the quantized electromagnetic field inside the reso
nator. We derive analytical expressions for certain statistical quanti
ties, such as the mean number of successive clicks of the same kind, o
r the atom-atom and the photon-photon correlation functions. The latte
r are closely related if the photon-number distribution in steady stat
e is dominated by a single narrow peak.