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arXiv 2006.01972quant-ph
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二维原子阵列腔QED理论

Theory of cavity QED with 2D atomic arrays

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

摘要:

我们发展了一个量子光学的形式主义,以处理二维原子阵列放置在一个光学腔。重要的是,在典型的治疗相反,我们占合作偶极-偶极效应介导的原子与外部的相互作用,非腔限制模式。基于对这些模式的散射在很大程度上被抑制,由于这些合作效应的观察,我们构建了一个通用的形式主义,独立于特定的腔结构,并将其应用到一个阵列的非饱和原子。通过进一步考虑原子的运动,我们表明,抑制阻尼可以导致一个有利的缩放放置在腔内的原子阵列膜的光力学参数。该方法为进一步研究横向受限几何中原子阵列的多体QED问题奠定了基础。

英文摘要:

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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