sights for the model system investigated in this work. For the model system of interest the existence of good classical-quantum correspondence is dependent on the extent to which quantum tunneling dominates the isomerization process. In the case of a multidimensional system coupled to the cavity mode one expects competition between IVR within the system and regulation of tunneling due to the cavity-system coupling. In fact, even outside of the cavity, the combination of multidimensional tunneling and IVR can give rise to subtle, and sometimes counterintuitive, effects . Therefore, it is crucial to disentangle the influence purely due to intramolecular IVR from the effects arising due to the cavity-system coupling. In general, large scale changes to the reactant well structure upon varying the cavity frequency implies that the reactive flux through the appropriate phase space bottlenecks should also be modulated . Further studies on the present model and its multidimensional generalization from the perspective of semiclassical rate theories may yield additional insights.