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arXiv · 1402.7333

Scattering resonances and bound states for strongly interacting Rydberg polaritons

P. Bienias·S. Choi·O. Firstenberg·M. F. Maghrebi·M. Gullans·M. D. Lukin·A. V. Gorshkov·H. P. Büchler
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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.

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P. Bienias, S. Choi, O. Firstenberg, M. F. Maghrebi, M. Gullans, M. D. Lukin, A. V. Gorshkov, H. P. Büchler. 2014-02-28. Scattering resonances and bound states for strongly interacting Rydberg polaritons. https://doi.org/10.1103/physreva.90.053804

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