Many-body interactions such as exciton-exciton interactions significantly affect the optical response of semiconductor nanostructures. These interactions can be rigorously modeled through microscopic calculations. However, these calculations can be computationally intensive and often lack physical insights. An alternative is to use phenomenological many-body-interaction models such as the modified optical Bloch equations and the anharmonic oscillator model. While both these models have separately been used to interpret experimental data, to the best of our knowledge, an explicit and direct correspondence between these models has not been established. Here, we show the empirical equivalence between these two complimentary models through two-dimensional coherent spectroscopy simulations. A quantitative correspondence between the parameters used to incorporate the exciton-exciton interactions in these two models are obtained. We also perform a quantitative comparison of these phenomenological models with experiments, which highlights their usefulness in interpreting experimental results.

中文翻译：

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激子-激子相互作用：互补唯象模型之间的定量比较

多体相互作用（例如激子-激子相互作用）显着影响半导体纳米结构的光学响应。这些相互作用可以通过微观计算进行严格建模。然而，这些计算可能需要大量计算，并且通常缺乏物理洞察力。另一种方法是使用唯象多体相互作用模型，例如修正的光学布洛赫方程和非简谐振子模型。虽然这两个模型都已分别用于解释实验数据，但据我们所知，这些模型之间尚未建立明确且直接的对应关系。在这里，我们通过二维相干光谱模拟展示了这两个互补模型之间的经验等价性。获得了用于合并这两个模型中的激子-激子相互作用的参数之间的定量对应关系。我们还对这些现象学模型与实验进行了定量比较，这突出了它们在解释实验结果方面的有用性。