Frequency-resolved photon correlations in cavity optomechanics

Frequency-resolved photon correlations have proven to be a useful resource unveil nonlinearities hidden in standard observables such as the spectrum or (color-blind) correlations. In this manuscript, we analyze frequency-resolved of photons being emitted from an optomechanical system where light is nonlinearly coupled quantized motion mechanical mode resonator, but quantum nonlinear response typically hard evidence. We present and unravel rich landscape correlations, discuss how time-delayed can reveal information about dynamics system. also study dependence on relevant parameters single-photon coupling strength, filtering linewidth, thermal noise environment. This enriched understanding trigger new experiments probe phenomena optomechanics, provide insights into generic systems.