Observation of three-body correlations for photons coupled to a Rydberg superatom
Nina Stiesdal, Jan Kumlin, Kevin Kleinbeck, Philipp Lunt, Christoph, Braun, Asaf Paris-Mandoki, Christoph Tresp, Hans Peter B\"uchler, Sebastian, Hofferberth

TL;DR
This paper demonstrates the experimental observation of three-photon correlations mediated by a Rydberg superatom, revealing complex quantum interactions and validating a theoretical model of photon-superatom coupling.
Contribution
It provides the first experimental evidence of three-photon correlations via a Rydberg superatom and introduces an exactly solvable model for interpreting these quantum phenomena.
Findings
Clear signatures of three-photon correlations observed
Good agreement with a quantitative superatom model
Interpretation via bound and scattering states
Abstract
We report on the experimental observation of non-trivial three-photon correlations imprinted onto initially uncorrelated photons through interaction with a single Rydberg superatom. Exploiting the Rydberg blockade mechanism, we turn a cold atomic cloud into a single effective emitter with collectively enhanced coupling to a focused photonic mode which gives rise to clear signatures in the connected part of the three-body correlation function of the out-going photons. We show that our results are in good agreement with a quantitative model for a single, strongly coupled Rydberg superatom. Furthermore, we present an idealized but exactly solvable model of a single two-level system coupled to a photonic mode, which allows for an interpretation of our experimental observations in terms of bound states and scattering states.
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