  Cavity-integrated transition metal dichalcogenide excitons have recently
emerged as a promising platform to study strong light-matter interactions and
related cavity quantum electrodynamics phenomena. While this exciton-cavity
system is typically modeled as coupled harmonic oscillators, to account for the
rich solid-state environment the effect of exciton-phonon interaction needs to
be incorporated. We model the system by including a phenomenological
deformation potential for exciton-phonon interactions and we elucidate the
experimentally measured preferential coupling of the excitonic
photoluminescence to the cavity modes red-detuned with respect to the exciton
resonance. Furthermore, we predict and experimentally confirm the temperature
dependence of this preferential coupling. By accurately capturing the
exciton-phonon interaction, our model illuminates the potential of
cavity-integrated transition metal dichalcogenides for development of low-power
classical and quantum technologies.
