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The Stokes and anti-Stokes components in the inelastic scattering of lightare related to phonon statistics and have been broadly used to measuretemperature and phonon lifetimes in different materials. However, correlationbetween the components are expected to change the Stokes/anti-Stokes intensityratio, imposing corrections to the broadly used Bose-Einstein statistics. Herethe excitation power dependence of these scattering processes is theoreticallydescribed by an effective Hamiltonian that includes correlation between theStokes and the anti-Stokes events. The model is used to fit availableexperimental results in three-dimensional diamond and two-dimensional graphene,showing that the phenomenon can significantly increase in the low-dimensionalsystem under specific resonance conditions. By setting the scientific basis forthe Stokes-anti-Stokes correlated phenomenon, the use of the Bose-Einsteinpopulation function for reasoning the inelastic scattering is generalized,providing a model to predict the conversion of optical phonons into heat orlight, according to coupling constants and decay rates. The model applies toinelastic scattering in general.

Power dependence of Klyshko's Stokes-anti-Stokes correlation in the inelastic scattering of light