标题： 在双模光子晶体腔内嵌入单个量子点中的相关发射激光 显示英文标题

标题： Correlated emission lasing in a single quantum dot embedded inside a bimodal photonic crystal cavity

摘要： 我们研究了在相干驱动的单个量子点与双模光子晶体腔耦合系统中的相关发射激光现象，利用主方程来描述系统动力学。 为了考虑激子-声子相互作用，我们通过极化子变换主方程引入一种非微扰方法。 通过对与相对相位和平均相位相关的厄米算符的波动进行分析，我们推导出一个福克-普朗克方程来评估相位漂移和扩散系数，证明了在低温下激子-声子相互作用存在时，相关发射抑制了量子噪声。 此外，我们计算了进入腔模式的单光子和双光子过量发射率（发射率与吸收率之差），并探讨了这些模式之间连续变量纠缠的生成。 显示英文摘要

摘要： We investigate the phenomenon of correlated emission lasing in a coherently driven single quantum dot coupled to a bimodal photonic crystal cavity, utilizing a master equation to describe the system dynamics. To account for exciton-phonon interactions, we incorporate a non-perturbative approach through a polaron transformed master equation. By analyzing fluctuations in the Hermitian operators associated with relative and average phase, we derive a Fokker-Planck equation to assess phase drift and diffusion coefficients, demonstrating that correlated emission suppresses quantum noise in the presence of exciton-phonon interaction at low temperature. Additionally, we calculate the single and two-photon excess emission rates (difference between emission and absorption rates) into the cavity modes and explore the generation of continuous-variable entanglement between these modes.