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Manipulation of three particle cooperative emission in single- and two-photon interaction through the vacuum field

The resonances between the spontaneous and induced emissions by two- and single photon transitions of three inverted radiators from the ensemble proposed in paper45 open the new possibilities in the manipulation of the decay rate of the entangled photon pairs generated by the system relative the dipole-forbidden transition. The influence of the bath temperature to such process is studied. One of them corresponds to the situation when the total energy of emitted photons by two dipole-active radiators enter the two-photon resonance with the dipoleforbidden transitions of third atom. Second effect corresponds to the scattering situation, when the difference of the excited energies of two dipole-active radiators are in the resonance with the dipole-forbidden transitions of third atom. These effects are accompanied with the interferences between single- and two-quantum collective transitions of three inverted radiators from the ensemble. The three particle collective decay rate is defined in the description of the atomic correlation functions.