Theory of cavity QED with 2D atomic arrays
Abstract
We develop a quantum optical formalism to treat a two-dimensional array of atoms placed in an optical cavity. Importantly, and in contrast to typical treatments, we account for cooperative dipole-dipole effects mediated by the interaction of the atoms with the outside, non-cavity-confined modes. Based on the observation that scattering to these modes is largely inhibited due to these cooperative effects, we construct a generic formalism, independent of the specific cavity structure, and apply it to an array of non-saturated atoms. By further considering the atomic motion, we show that the inhibited damping can lead to a favorable scaling of the optomechanical parameters of an atom-array membrane placed within a cavity. The developed formalism lays the basis for further investigation of many-body QED with atom arrays in transversely confined geometries.
Cite
@article{arxiv.2006.01972,
title = {Theory of cavity QED with 2D atomic arrays},
author = {Ephraim Shahmoon and Dominik S. Wild and Mikhail D. Lukin and Susanne F. Yelin},
journal= {arXiv preprint arXiv:2006.01972},
year = {2020}
}