Scattering properties of strongly interacting Rydberg polaritons

The combination of Electromagnetically Induced Transparency(EIT) and strong Rydberg-Rydberg interaction can lead to a system of interacting polaritons [1,2]. In this poster, we present a theoretical analysis of two-polariton dynamics in Rydberg EIT medium [3]. We show that the effective polariton-polariton interaction is tunable to both attraction and repulsion and investigate its scattering properties. In the regime of attraction, we identify the formation of multiple two-polariton bound states and compute their dispersions. Finally, we discuss the implications of our results to the ongoing experiments and to the effective many body theory for strongly interacting Rydberg polaritons.\\[4pt] [1] T. Peyronel, and et al, Nature 488, 57 (2012)\\[0pt] [2] O. Firstenberg, and et al, Nature 502, 71 (2013)\\[0pt] [3] P. Bienias, and et al, (in preparation)