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Mesoscopic spin ensembles coupled to a cavity offer the exciting prospect ofobserving complex nonclassical phenomena that pool the microscopic featuresfrom a few spins with those of macroscopic spin ensembles. Here, we demonstratehow the collective interactions in an ensemble of as many as hundred spins canbe harnessed to obtain a periodic pulse train of nonclassical light. To unravelthe full quantum dynamics and photon statistics, we develop a time-adaptivevariational renormalization group method that accurately captures theunderlying Lindbladian dynamics of the mesoscopic spin-cavity system.

Variational Renormalization Group for Dissipative Spin-Cavity Systems: Periodic Pulses of Nonclassical Photons from Mesoscopic Spin Ensembles