Cavity-controlled cooperative nonlinear effects under emission and absorption of single resonance photons by two level atoms trapped lossless and damped micro-cavities

In this paper, the nonperturbative version of theory displays new nonlinear properties of the cavity-controlled cooperative spontaneous emission from the compound system. One of the important features of the theory is that it accounts automatically re-absorptions of photons in the cavity. Another important result is the description of "dark" and "luminous" states of two atoms in the cavity: couples of atoms bound with other by virtual photon of the cavity mode.