Conditional Disappearance of Gravitational Dephasing in Multilevel Atomic Systems

The state of an ensemble of three-level atoms after absorption of a single photon and subsequent spontaneous decays in the presence of a weak gravitational field is shown to lose the phase matching of the emitted photons with the wave vector of the absorbed photon, similar to the case of an ensemble of two-level atoms. However, the spatial distribution of a second photon coincides with the result for a space without a gravitational field when averaging over the state of one of the emitted photons.