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arXiv · 2006.01972

Theory of cavity QED with 2D atomic arrays

Ephraim Shahmoon·Dominik S. Wild·Mikhail D. Lukin·Susanne F. Yelin
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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.

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Ephraim Shahmoon, Dominik S. Wild, Mikhail D. Lukin, Susanne F. Yelin. 2020-06-02. Theory of cavity QED with 2D atomic arrays. https://arxiv.org/abs/2006.01972

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