|Title||Scattering resonances and bound states for strongly interacting Rydberg polaritons
|Publication Type||Journal Article |
|Year of Publication||2014 |
|Authors||Bienias, P, Choi, S, Firstenberg, O, Maghrebi, MF, Gullans, M, Lukin, MD, Gorshkov, AV, Büchler, HP |
|Journal||Physical Review A |
|Date Published||2014/11/3 |
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.
|Short Title||Phys. Rev. A |