Microscopic derivation of the Jaynes-Cummings model with cavity losses

A microscopic derivation of the master equation for the Jaynes-Cummings model with cavity losses is provided. Comparison with the phenomenological master equation used in the literature is given. Some examples wherein the phenomenological and the microscopic master equations give rise to different predictions are discussed. the work is coauthored by M. Scala, B.Militello, A.Messina, J. Piilo and S.Maniscalco.