arXiv 2108.011532021-08cond-mat.quant-gasquant-ph

量子原子阵列中的陷阱效应

Trapping Effects in Quantum Atomic Arrays

Pengfei Zhang

备注：: 20 pages, 6 figures

摘要：

量子发射体，特别是具有亚波长晶格常数的原子阵列，已经被提出是研究光子与电偶极子之间相互作用的理想平台。在最近的实验[1]的启发下，我们发展了一种利用深光晶格中原子的湮灭和产生算符的微观量子处理方法。利用Keldysh轮廓上的图解方法，我们导出了光的合作散射，并得到了$S$矩阵的一般公式。我们应用我们的方法来研究的陷阱效应，这是超越以前的治疗与自旋算子。如果光晶格是由具有神奇波长的光场形成的，则结果与先前使用自旋算符的结果相匹配。当原子处于基态和激发态的俘获势之间不匹配时，原子镜变得不完美，在光学响应中具有多个共振。我们进一步研究了大而有限的捕获频率的反冲效应。我们的结果与现有的实验结果是一致的。

英文摘要：

Quantum emitters, particularly atomic arrays with subwavelength lattice constant, have been proposed to be an ideal platform for studying the interplay between photons and electric dipoles. In this work, motivated by the recent experiment [1], we develop a microscopic quantum treatment using annihilation and creation operator of atoms in deep optical lattices. Using a diagrammatic approach on the Keldysh contour, we derive the cooperative scattering of the light and obtain the general formula for the $S$ matrix. We apply our method to study the trapping effect, which is beyond previous treatment with spin operators. If the optical lattices are formed by light fields with magical wavelength, the result matches previous results using spin operators. When there is a mismatch between the trapping potentials for atoms in the ground state and the excited state, atomic mirrors become imperfect, with multiple resonances in the optical response. We further study the effect of recoil for large but finite trapping frequency. Our results are consistent with existing experiments.

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