Scattering resonances and bound states for strongly interacting Rydberg polaritons
Przemek Bienias, Soonwon Choi, Ofer Firstenberg, Mohammad F. Maghrebi, Mikhail Lukin, Alexey Gorshkov, Hans Peter Buchler
We provide a rigorous framework describing a low-density gas of slow-light polaritons propagating in one dimension under the conditions of electromagnetically induced transparency and interacting via strong Rydberg-Rydberg interactions. Specifically, we use a diagrammatic method to analytically derive the scattering properties of two polaritons. We discover previously unexplored 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 exact low-energy many-body Hamiltonian. This theoretical platform is immediately applicable to ongoing experiments.
, Choi, S.
, Firstenberg, O.
, Maghrebi, M.
, Lukin, M.
, Gorshkov, A.
and Buchler, H.
Scattering resonances and bound states for strongly interacting Rydberg polaritons, Physical Review A, [online], https://doi.org/10.1103/PhysRevA.90.053804, https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=915456
(Accessed December 1, 2023)