Superradiance in Inverted Multi-level Atomic Clouds

This work examines superradiance in initially inverted clouds of \textit{multi-level} atoms. We simulate clouds containing hundreds of radiating atoms, while eschewing the approximation of symmetric dipole-dipole interactions. We then explore the effects that dephasing caused by elastic dipole-dipole interactions, as well as competition between multiple transitions, have on superradiance. Both of these mechanisms place strong restrictions on a given transition's ability to superradiate. These results are important to recent experiments that probe superradiance in Rydberg atoms.