论文标题
二维激子 - 波利顿相互作用超出了天生的近似
Two-dimensional exciton-polariton interactions beyond the Born approximation
论文作者
论文摘要
我们为二维激子和偏光子的相互作用提供了多体理论。考虑到高斯量子的波动通过Bogoliubov理论,我们发现二维中的两体相互作用强度对散射长度和基态能具有反对数依赖性。这会导致在零摩托姆极限中消失的激子相互作用强度,但由于强度强的耦合而导致有限的极性相互作用强度。我们还得出了激子 - 果胶的精确棕褐色关系,并计算谭的接触系数。我们显示了极性的相互作用强度,当散射长度较大时,棕褐色的接触都表现出红色光子表面上的异常增强。我们的预测可能为激子和极化非线性研究提供了定性正确的指南,并提出了实现强烈非线性极化气体的途径。
We provide a many-body theory for the interactions of two-dimensional excitons and polaritons beyond the Born approximation. Taking into account Gaussian quantum fluctuations via the Bogoliubov theory, we find that the two-body interaction strength in two-dimensions has an inverse logarithmic dependence on the scattering length and ground state energy. This leads to a vanishing exciton interaction strength in the zero-momentum limit but a finite polariton interaction strength due to strong light-matter coupling. We also derive the exact Tan relations for exciton-polaritons and calculate Tan's contact coefficient. We show the polariton interaction strength and Tan's contact both exhibit an anomalous enhancement at red photon-exciton detuning when the scattering length is large. Our predictions may provide a qualitatively correct guide for studies of exciton and polariton nonlinearities, and suggest a route to achieving strongly nonlinear polariton gases.