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We study theoretically the quantum dynamics and spectroscopy of rovibrationalpolaritons formed in a model system composed of a single rovibrating diatomicmolecule, which interacts with two degenerate, orthogonally polarized modes ofan optical Fabry-P\'erot cavity. We employ an effective rovibrationalPauli-Fierz Hamiltonian in length gauge representation and identify three-statevibro-polaritonic conical intersections (VPCIs) between singly-excitedvibro-polaritonic states in a two-dimensional angular coordinate branchingspace. The lower and upper vibrational polaritons are of mixed light-matterhybrid character, whereas the intermediate state is purely photonic in nature.The VPCIs provide effective population transfer channels between singly-excitedvibrational polaritons, which manifest in rich interference patterns inrotational densities. Spectroscopically, three bright singly-excited states areidentified, when an external infrared laser field couples to both a molecularand a cavity mode. The non-trivial VPCI topology manifests as pronouncedmulti-peak progression in the spectral region of the upper vibrationalpolariton, which is traced back to the emergence of rovibro-polaritoniclight-matter hybrid states. Experimentally ubiquitous spontaneous emission fromcavity modes induces a dissipative reduction of intensity and peak broadening,which mainly influences the purely photonic intermediate state peak as well asthe rovibro-polaritonic progression.

Cavity-induced Non-Adiabatic Dynamics and Spectroscopy of Molecular Rovibrational Polaritons studied by Multi-Mode Quantum Models