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We study collective effects in an inhomogeneously broadened ensemble oftwo-level emitters coupled to an optical cavity with narrow linewidth. Usingsecond order mean field theory we find that the emitters within a few times thecavity linewidth exhibit synchronous behaviour and undergo collective Rabioscillations. Under proper conditions, the synchronized oscillations give riseto a modulated intracavity field which can excite emitters detuned by manylinewidths from the cavity resonance. To study the synchronization in furtherdetail, we simplify the model and consider two ensembles and study steady stateproperties when the emitters are subjected to an incoherent drive.

Collective dynamics of inhomogeneously broadened emitters coupled to an optical cavity with narrow linewidth