Superradiance with Incoherent Nonradiative Decay

We describe superradiance of a few emitters in a dissipative environment with nonradiative decay in the Schrödinger approach, which is simpler than the density matrix formalism. We find that superradiance increases the quantum efficiency of the radiation if the baths, responsible for dissipation, do not come to equilibrium. The reason is that decoherence destroys Dicke “dark” states, lets emitters radiate, and does not affect the fast radiation from “bright” Dicke states.