Quantum state model of non-radiative decay for description of superradiance

Description of superradiance (SR) of few quantum emitters with non-radiative decay is carried out in the frame of Schrödinger picture taking into account non-equilibrium bath states. Quantum efficiencies (QE) of SR of two and three emitters are calculated and compared with QE of spontaneous emission of two and three independent emitters. Maximum increase of QE is 9% for two emitters and 16% for three emitters, it is reached at certain relationships between non-radiative and radiative decay rates and at non-equilibrium in baths of non-radiative decay.