Rydberg Interactions in a High Finesse Optical Cavity

We present progress on our light-Rydberg atom interaction experiment in a high finesse optical cavity, $\sim$28000. We studied cavity assisted Rydberg electromagnetically induced transparency (EIT) in the presence of an interactivity electric field of $\sim$2V/cm and a magnetic field of $\sim$1G$^1$. We access Rydberg states with principle quantum numbers n $>$ 50 to study dipole blockade. We show the theoretical and experimental results for our system under such intracavity fields, where the Rydberg blockade excitations can strongly couple to the cavity modes. n $>$ 50 is suggested by our pair interaction calculations so that we can observe Rydberg-Rydberg interactions and form superatoms inside our cavity. The Rydberg atom-cavity system can be useful in controlled photon generation for quantum information processing$^2$.\\ $^1$ Jiteng Sheng et al., Phys. Rev. A \textbf{96}, 033813 (2017)\\ $^2$ Santosh Kumar et al., J. Phys. B \textbf{49}, 064014 (2016)