No oscillating subradiant correlations in a strongly driven quantum emitter array

We theoretically study time-dependent correlations in a strongly driven array of N two-level atoms, coupled to photons in a waveguide. We focus on the spectrum \λ\ of the Liouvillian superoperator, which determines the correlation decay rates - λ and the frequencies λ. Our main finding is the suppression of subradiant oscillating correlations between atomic states by a strong coherent drive of amplitude $Ω$: | λ|≥ mγ/2, where $γ$ is the single-atom spontaneous decay rate and m=| λ/(2Ω)| is a nonzero integer for correlations oscillating in time ∝ exp(± 2i m|Ω| t). This limit is independent of the number of atoms N; it holds both for small arrays and in the macroscopic limit. We demonstrate the suppression of subradiance numerically and provide a rigorous proof based on the analytical decomposition of the Liouvillian using spectral theory of simplicial complexes and posets.