Generating multipartite entangled states with Cavity Rydberg Polaritons

Polaritons are superpositions of matter and photon states, whose effective masses are from the photonic part and their interactions originate from their matter part. While the small mass of the photons allows for observing quantum effects at higher temperatures, even up to the room temperature, the interaction allows creating collective many-body effects.
In this work, I introduce a new type of quasi-particles called cavity-Rydberg polariton, with large interaction inherited from their strongly-interacting Rydberg constituents. In particular, I will show how this dipole-dipole interaction can be utilized to induce large non-linearity between discrete modes of an optical cavity. A property that can be further utilized to generate bipartite and tripartite entangled photons.