Nuclear Spin Isomers and the Pauli Principle in Polaritonic Chemistry

The Pauli principle has far-reaching consequences in quantum physics. Here, we investigate, for the first time, its implications, together with nuclear spin isomerism, in polaritonic chemistry. We first present an accurate numerical description in a realistic situation of two ${}^{14}$NH${}_3$ molecules, existing as ortho and para spin isomers, in an infrared cavity. Then, we generalize these results using an analytical model for molecular ensembles. Our findings undoubtedly demonstrate that the Pauli principle and nuclear spin isomerism significantly reshape collective light-matter coupling.