Extra revivals in cooperative atomic inversion in a cavity

We investigate collective and quantum properties of the atomic inversion of A two-level atoms interacting with a strong quantum field of a single-mode loss-free cavity. The dynamics consists of A fast scales of Rabi oscillations, each featuring collapses and revivals. The first revival of the second quasiharmonic scale can be observed with large cooperativity, demonstrating altogether the existence of the extra sidebands of the resonance fluorescence spectrum. There are also A slow cooperative scales which form the slow envelope of the inversion, which for large cooperativity can split the revivals. For the case of half excited initial atomic state the energy exchange between the field and atomic system is strongly suppressed, and there is an average energy loss by the atoms.