Photon-Photon Interactions via Rydberg Blockade
Alexey V. Gorshkov, Johannes Otterbach, Michael Fleischhauer, Thomas, Pohl, Mikhail D. Lukin

TL;DR
This paper develops a theoretical framework for light propagation in Rydberg-EIT systems, enabling nonclassical light generation, photon-photon gates, and exploration of many-body photon phenomena.
Contribution
It introduces a quantum and spatially-resolved theory of photon interactions via Rydberg blockade, advancing understanding of strongly correlated photonic systems.
Findings
Potential for generating nonclassical light states
Feasibility of photon-photon quantum gates
Study of many-body phenomena with correlated photons
Abstract
We develop the theory of light propagation under the conditions of electromagnetically induced transparency (EIT) in systems involving strongly interacting Rydberg states. Taking into account the quantum nature and the spatial propagation of light, we analyze interactions involving few-photon pulses. We demonstrate that this system can be used for the generation of nonclassical states of light including trains of single photons with an avoided volume between them, for implementing photon-photon quantum gates, as well as for studying many-body phenomena with strongly correlated photons.
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