超越玻恩近似的极化激元-极化激元相互作用：玩具模型研究
Polariton-polariton interaction beyond the Born approximation: A toy model study
摘要：
我们从理论上研究了微腔中的极化激元-极化激元相互作用，平均场），采用具有接触相互作用的玩具模型来近似描述量子阱中电子与空穴之间的吸引力，并采用超出平均场的高斯对涨落理论。我们得到了一个密度或化学势独立的极化激元-极化激元相互作用强度，即使在二维，这是由于耦合到光子场。我们表明，量子涨落导致我们的玩具模型内的极化激元-极化激元相互作用强度减少约2倍。在很强的光-物质耦合下，我们对1 s激子近似进行了修正，发现如果我们的模型能够定性地模拟GaAs量子阱中的极化激元相互作用，那么在典型的实验条件下，极化激元-极化激元相互作用强度在广泛使用的理论中被高估了三倍。我们比较了我们的预测与最新的测量，并认为超越玻恩近似的极化激元-极化激元相互作用强度的影响是至关重要的定量理解的实验数据由E。Estrecho \textit{et al.}，物理修订版B \textbf{100}，035306（2019）。
英文摘要：
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).
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