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In this paper, the non-Markovian dissipative dynamics of the phase dampedJaynes-Cummings model in the presence of a classical homogeneous gravitationalfield will be analyzed. The model consists of a moving two-level atomsimultaneously exposed to the gravitational field and a single-mode travelingradiation field in the presence of a non-Markovian phase damping mechanism.First, the non-Markovian master equation for the reduced density operator ofthe system in terms of a Hamiltonian describing the atom-field interaction inthe presence of a homogeneous gravitational field will be presented. Then, thesuper-operator technique will be generalized and an exact solution of thenon-Markovian master equation will be obtained. Assuming that initially theradiation field is prepared in a Glauber coherent state and the two-level atomis in the excited state, the non-Markovian effects on the temporal evolution ofcollapses and revivals of the atomic population inversion and photon countingstatistics of the radiation field in the presence of both the phase damping anda homogeneous gravitational field will be investigated.

Non-Markovian Analysis of the Phase Damped Jaynes-Cummings Model in the Presence of a Classical Homogeneous Gravitational Field