论文标题
Polariton-Polariton的相互作用超出了天生的近似值：玩具模型研究
Polariton-polariton interaction beyond the Born approximation: A toy model study
论文作者
论文摘要
从理论上讲，我们通过采用具有接触式相互作用的玩具模型来近似于量子孔中的电子和孔之间的吸引力，并使用高斯对孔中的吸引力，从而使用高斯对超出平均值的高斯式波动理论来近似地描述电子与孔之间的吸引力，从而近似地描述电子与孔之间的吸引力。即使在二维中，我们也获得了密度或化学势能独立的极性相互作用强度，这是由于与光子场的耦合所致。我们表明，量子波动导致玩具模型中极性 - 帕利顿相互作用强度的降低约为两倍。加上在非常强的光结合耦合下对1s激子近似的校正，我们发现在典型的实验条件下的极化 - 帕利顿相互作用强度被广泛使用的理论中的三个因子高估了，如果我们的玩具模型可以在GAAS量子孔中进行有限化模拟北极星的相互作用。我们将我们的预测与最新的测量值进行了比较，并认为对Polariton-Polariton相互作用强度的超生式抗性效应对于对E. estrecho \ textiT {et al。}的实验数据的定量理解至关重要。 Rev. B \ TextBf {100}，035306（2019）。
We theoretically investigate the polariton-polariton interaction in microcavities beyond the commonly used Born approximation (i.e., mean-field), by adopting a toy model with a contact interaction to approximately describe the attraction between electrons and holes in quantum well and by using a Gaussian pair fluctuation theory beyond mean-field. We obtain a density or chemical potential independent polariton-polariton interaction strength even in two-dimensions, which result from coupling to the photon field. We show that quantum fluctuations lead to about a factor of two reduction in the polariton-polariton interaction strength within our toy model. Together with corrections to the 1s exciton approximation at very strong light-matter coupling, we find the polariton-polariton interaction strength under typical experimental conditions is overestimated by a factor three in the widely used theories, if our toy model can qualitatively simulate the polariton interaction in GaAs quantum wells. We compare our prediction with the most recent measurement and argue that the beyond-Born-approximation effect to the polariton-polariton interaction strength is crucial for a quantitative understanding of the experimental data by E. Estrecho \textit{et al.}, Phys. Rev. B \textbf{100}, 035306 (2019).
