Cavity Tools for Topological Quantum Optics with Rydberg Polaritons: Part II

Strongly-interacting photons are a fruitful platform for quantum many-body physics and exploring properties of topologically ordered materials. We make photons interact strongly by turning them into cavity Rydberg polaritons, quasiparticles of an optical cavity photon hybridized with an interacting atomic Rydberg excitation. Using these polaritons, we have previously prepared the first two-particle Laughlin state of light that was limited in size by the number of degenerate cavity modes. We will describe recent upgrades of our experimental apparatus including a highly degenerate multimode cavity that will allow for preparation of highly correlated states of a mesoscopic number of particles. Aside from providing technical details of our integrated cavity setup, we will show first experimental results using this platform on the way to bigger Quantum Hall states.