The interplay between strong light-matter interactions and charge doping represents an important frontier in the pursuit of exotic many-body physics and optoelectronics. Here, we consider a simplified model of a two-dimensional semiconductor embedded in a microcavity, where the interactions between electrons and holes are strongly screened, allowing us to develop a diagrammatic formalism for this system with an analytic expression for the exciton-polariton propagator. We apply this to the scattering of spin-polarized polaritons and electrons, and show that this is strongly enhanced compared with exciton-electron interactions. As we argue, this counterintuitive result is a consequence of the shift of the collision energy due to the strong light-matter coupling, and hence this is a generic feature that applies also for more realistic electron-hole and electron-electron interactions. We furthermore demonstrate that the lack of Galilean invariance inherent in the light-matter coupled system can lead to a narrow resonancelike feature for polariton-electron interactions close to the polariton inflection point. Our results are potentially important for realizing tunable light-mediated interactions between charged particles.

中文翻译：

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微腔中电子与激子-极化子之间的增强散射

强光物质相互作用和电荷掺杂之间的相互作用代表了在追求奇异的多体物理学和光电子学方面的重要前沿。在这里，我们考虑了嵌入微腔中的二维半导体的简化模型，其中电子和空穴之间的相互作用得到了严格的筛选，从而使我们能够为该系统建立图解形式，并给出激子-极化子传播子的解析表达式。我们将其应用于自旋极化极化子和电子的散射，并表明与激子-电子相互作用相比，这种散射得到了大大增强。正如我们所论证的，这种违反直觉的结果是由于强烈的光-质耦合而使碰撞能量发生位移的结果，因此，这是一个通用特征，也适用于更现实的电子-空穴和电子-电子相互作用。我们进一步证明，光物质耦合系统中固有的伽利略不变性的缺乏会导致接近极化子拐点的极化子-电子相互作用产生狭窄的类似共振的特征。我们的结果对于实现带电粒子之间的可调光介导的相互作用具有潜在的重要意义。