Scattering resonances and bound states for strongly interacting Rydberg polaritons

TitleScattering resonances and bound states for strongly interacting Rydberg polaritons
Publication TypeJournal Article
Year of Publication2014
AuthorsBienias, P, Choi, S, Firstenberg, O, Maghrebi, MF, Gullans, M, Lukin, MD, Gorshkov, AV, B├╝chler, HP
JournalPhysical Review A
Volume90
Issue5
Date Published2014/11/3
Abstract

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.

URLhttp://arxiv.org/abs/1402.7333v1
DOI10.1103/PhysRevA.90.053804
Short TitlePhys. Rev. A