%0 Journal Article
%J Physical Review A
%D 2014
%T Scattering resonances and bound states for strongly interacting Rydberg polaritons
%A P. Bienias
%A S. Choi
%A O. Firstenberg
%A Mohammad F. Maghrebi
%A Michael Gullans
%A M. D. Lukin
%A Alexey V. Gorshkov
%A H. P. Büchler
%X We provide a theoretical framework describing slow-light polaritons interacting via atomic Rydberg states. We use a diagrammatic method to analytically derive the scattering properties of two polaritons. We identify parameter regimes where polariton-polariton interactions are repulsive. Furthermore, in the regime of attractive interactions, we identify multiple two-polariton bound states, calculate their dispersion, and study the resulting scattering resonances. Finally, the two-particle scattering properties allow us to derive the effective low-energy many-body Hamiltonian. This theoretical platform is applicable to ongoing experiments.
%B Physical Review A
%V 90
%8 2014/11/3
%G eng
%U http://arxiv.org/abs/1402.7333v1
%N 5
%! Phys. Rev. A
%R 10.1103/PhysRevA.90.053804