  We theoretically investigate the dynamics of a gas of strongly interacting
Rydberg atoms subject to a time-domain Ramsey interferometry protocol. The
many-body dynamics is governed by an Ising-type Hamiltonian with long range
interactions of tunable strength. We analyze and model the contrast degradation
and phase accumulation of the Ramsey signal and identify scaling laws for
varying interrogation times, ensemble densities, and ensemble dimensionalities.
