Nonlinear absorption in interacting Rydberg electromagnetically-induced-transparency spectra on two-photon resonance
Annika Tebben, Cl\'ement Hainaut, Andre Salzinger, Sebastian Geier,, Titus Franz, Thomas Pohl, Martin G\"arttner, Gerhard Z\"urn, Matthias, Weidem\"uller

TL;DR
This paper experimentally studies the nonlinear transmission spectra of Rydberg EIT media on two-photon resonance, revealing limitations of existing models and emphasizing the need for more comprehensive theories to understand photon interactions.
Contribution
It provides the first detailed two-dimensional spectral analysis of Rydberg EIT on two-photon resonance, highlighting the inadequacies of mean-field and rate-equation models.
Findings
Spectral features differ significantly at two-photon resonance.
Mean-field and rate-equation models fail to fully describe the nonlinear response.
A third-order nonlinear susceptibility captures pair-wise interaction effects.
Abstract
We experimentally investigate the nonlinear transmission spectrum of coherent light fields propagating through a Rydberg EIT medium with strong atomic interactions. In contrast to previous investigations, which have largely focused on resonant control fields, we explore here the full two-dimensional spectral response of the Rydberg gas. Our measurements confirm previously observed spectral features for a vanishing control-field detuning, but also reveal significant differences on two-photon resonance. In particular, we find qualitative deficiencies of mean-field models and rate-equation simulations as well as a third-order nonlinear susceptibility that accounts for pair-wise interaction effects at low probe-field intensities in describing the nonlinear probe-field response under EIT conditions. Our results suggest that a more complete understanding of Rydberg-EIT and emerging photon…
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