We theoretically study the driven-dissipative dynamics of an array of two-level emitters coupled to a single photonic mode in the presence of disorder in the resonant frequencies. We introduce the notion of subradiant correlations in the dynamics, corresponding to the eigenstates of the Liouvillian with a low decay rate, that can also oscillate in time. While the usual collective subradiant states do not survive under emitter resonant frequency fluctuations, these subradiant correlations are immune to this type of disorder. We employ the group representation theory to find the number of nontrivial oscillating subradiant correlations in the system. These long-living correlations exist in finite-size systems, when their lifetime is parametrically longer than in the so-called Dicke time crystal phase.

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• Collective effects in quantum optics
• Quantum description of light-matter interaction
• Quantum optics with artificial atoms
• Superradiance & subradiance
• Dicke model