Characterizing superradiant dynamics in atomic arrays via a cumulant expansion approach
Characterizing superradiant dynamics in atomic arrays via a cumulant expansion approach
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DOI：
10.1103/physrevresearch.5.013091
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发表时间：
2022-11
影响因子：
4.2
通讯作者：
Oriol Rubies-Bigorda;S. Ostermann;S. Yelin
中科院分区：
文献类型：
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作者：
Oriol Rubies-Bigorda;S. Ostermann;S. Yelin
具有亚波长晶格间距的有序原子阵列集体发光。对于完全倒置的原子阵列，这将导致最初的辐射爆发和原子之间在初始时间的相干性的快速建立。基于运动方程的累积展开，我们导出了发射特性的精确解析表达式，并数值分析了导致数百个原子的空前系统集体衰变过程的完整多体问题。我们对累积展开方法进行了基准测试，并表明它正确地捕获了导致超辐射的合作动力学。对于完全倒置的阵列，这允许我们提取超辐射峰与粒子数的比例。对于原子之间不共享相干的部分激发阵列，我们还确定了在一维和二维几何结构中出现超辐光所需的临界激发数。此外，我们还研究了超辐射在非单位填充和位置无序情况下的鲁棒性。
Ordered atomic arrays with subwavelength lattice spacing emit light collectively. For fully inverted atomic arrays, this results in an initial burst of radiation and a fast build up of coherences between the atoms at initial times. Based on a cumulant expansion of the equations of motion, we derive exact analytical expressions for the emission properties and numerically analyze the full many-body problem resulting in the collective decay process for unprecedented system sizes of up to a few hundred atoms. We benchmark the cumulant expansion approach and show that it correctly captures the cooperative dynamics resulting in superradiance. For fully inverted arrays, this allows us to extract the scaling of the superradiant peak with particle number. For partially excited arrays where no coherences are shared among atoms, we also determine the critical number of excitations required for the emergence of superradiance in one- and two-dimensional geometries. In addition, we study the robustness of superradiance in the case of non-unit filling and position disorder.