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We show that the onset of steady-state superradiance in a bad cavity laser ispreceded by a dissipative phase transition between two distinct phases ofsteady-state subradiance. The transition is marked by a non-analytic behaviorof the cavity output power and the mean atomic inversion, as well as adiscontinuity in the variance of the collective atomic inversion. Inparticular, for repump rates below a critical value, the cavity output power isstrongly suppressed and does not increase with the atom number, while it scaleslinearly with atom number above this value. Remarkably, we find that the atomsare in a macroscopic entangled steady state near the critical region with avanishing fraction of unentangled atoms in the large atom number limit.

Subradiant-to-Subradiant Phase Transition in the Bad Cavity Laser