Superradiance as single scattering embedded in an effective medium
P. Weiss, A. Cipris, R. Kaiser, I. M. Sokolov, W. Guerin

TL;DR
This paper introduces a linear-optics model for superradiance based on single scattering in an effective medium, accurately matching experiments and extending to moving atoms with Doppler effects.
Contribution
It presents a dispersive effective medium approach to superradiance, enabling direct comparison with experiments and analysis of atomic motion effects.
Findings
Perfect agreement with coupled-dipole model for decay rates
Good quantitative match with experimental data without free parameters
Demonstrates superradiance persistence at high temperatures with Doppler broadening
Abstract
We present an optical picture of linear-optics superradiance, based on a single scattering event embedded in a dispersive effective medium composed by the other atoms. This linear-dispersion theory is valid at low density and in the single-scattering regime, i.e., when the exciting field is largely detuned. The comparison with the coupled-dipole model shows a perfect agreement for the superradiant decay rate. Then we use two advantages of this approach. First we make a direct comparison with experimental data, without any free parameter, and show a good quantitative agreement. Second, we address the problem of moving atoms, which can be efficiently simulated by adding the Doppler broadening to the theory. In particular, we discuss how to recover superradiance at high temperature.
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