Nonlinear quantum optics mediated by Rydberg interactions
Ofer Firstenberg, Charles S. Adams, Sebastian Hofferberth

TL;DR
This paper reviews how Rydberg interactions enable strong photon-photon nonlinearities in ultra-cold atomic ensembles, advancing quantum optics and information processing.
Contribution
It provides a comprehensive overview of the theoretical and experimental progress in Rydberg-mediated nonlinear quantum optics.
Findings
Demonstration of strong optical nonlinearity at the single-photon level
Advancements in all-optical quantum information processing
Integration of Rydberg interactions with electromagnetically induced transparency
Abstract
By mapping the strong interaction between Rydberg excitations in ultra-cold atomic ensembles onto single photons via electromagnetically induced transparency, it is now possible to realize a nonlinear optical medium which exhibits a strong optical nonlinearity at the level of individual photons. We review the theoretical concepts and the experimental state-of-the-art of this exciting new field, and discuss first applications in the field of all-optical quantum information processing.
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