Extracting phonon coupling parameters from multi color center photoluminescence

Afonso Lamelas, Vitor S Amaral
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Abstract

Vibronic coupling of color centers plays a crucial role in their effectiveness for quantum technologies. This study presents a novel approach to extract key parameters, including the Huang-Rhys factor and the one-phonon coupling function, from photoluminescence spectra containing the signal from multiple color centers. Monotonic splines are used to represent the one-phonon coupling function, optimized using a variable-length non-dominated sorting genetic algorithm. Our method is applied to the combination of the well-studied negatively charged nitrogen-vacancy center and its less explored neutral counterpart in diamond, observed through photoluminescence at 14 K. Despite the complexity inherent in the theoretical framework governing phonon coupling in photoluminescence, we achieve robust fits, yielding a normalized root-mean-squared error of approximately 6 %. The neutral nitrogen-vacancy center exhibits a Huang-Rhys factor of 3.0, while its negatively charged counterpart showcases a value of 3.95. The quasi-localized vibrations of both charge states are clearly present in the fitted one-phonon spectral function. Furthermore, the consistency of our methodology is bolstered by temperature-dependent photoluminescence, which was calculated up to numerical constants using fit-derived parameters, matching the experimental measurements up to 300 K.
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从多色中心光致发光中提取声子耦合参数
色彩中心的振动耦合对其在量子技术中的有效性起着至关重要的作用。本研究提出了一种从包含多个颜色中心信号的光致发光光谱中提取关键参数的新方法,其中包括 Huang-Rhys 因子和单光子耦合函数。单调样条曲线被用来表示单光子耦合函数,并使用可变长度非支配排序遗传算法进行优化。尽管光致发光中声子耦合的理论框架固有的复杂性,我们还是实现了稳健的拟合,归一化均方根误差约为 6%。中性氮空穴中心的 Huang-Rhys 因子为 3.0,而其带负电荷的对应中心的 Huang-Rhys 因子值为 3.95。这两种电荷态的准定位振动都清楚地体现在拟合的单光子谱函数中。此外,与温度相关的光致发光也增强了我们方法的一致性,我们使用拟合得到的参数计算出了数值常数,与高达 300 K 的实验测量结果相吻合。
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