Quantum statistics of light transmitted through an intracavity Rydberg medium

Abstract

We theoretically investigate the quantum statistical properties of light\ntransmitted through an atomic medium with strong optical non-linearity induced\nby Rydberg-Rydberg van der Waals interactions. In our setup, atoms are located\nin a cavity and non-resonantly driven on a two-photon transition from their\nground state to a Rydberg level via an intermediate state by the combination of\nthe weak signal field and a strong control beam. To characterize the\ntransmitted light we compute the second-order correlation function\n$g^{\\left(2\\right)}\\left(\\tau\\right)$. The simulations we obtained on the\nspecific case of rubidium atoms suggest that the bunched or antibunched nature\nof the outgoing beam can be chosen at will by appropriately tuning the physical\nparameters.\n