标题： 四波混频原子系综辅助的拉盖尔-高斯涡旋腔系统中的光机械诱导透明度 显示英文标题

标题： Optomechanically induced transparency in Four-wave mixing atomic ensemble assisted Laguerre-Gaussian vortex cavity system

摘要： 我们研究了集成冷原子的拉盖尔-高斯涡旋腔系统的稳态光学响应，该系统具有双$\Lambda$能级结构。 在这一混合系统中，原子由腔模和三个相干涡旋光束驱动，每个光束携带独立的轨道角动量（OAM）。 我们首先检查了在无源/有源情况（无/有外部腔驱动）下混合系统的稳态输出谱。 我们的研究结果表明，光学机械诱导透明度（OMIT）谱在四波混频（FWM）过程中受到原子组分的 OAM 差异$(\Delta \ell\hbar)$的调制。 产生的环相位（$\Delta \ell\theta$）可以对探测光束的吸收和增益行为在混合系统中实现开关效应。 此外，群延迟（表征快光/慢光现象）也由$\Delta \ell$调整。 我们进一步展示了原子 OAM 如何调制混合系统中输出光斑图案的周期性。 这项研究为拉盖尔-高斯涡旋腔系统中光学响应的调制提供了有价值的见解。 显示英文摘要

摘要： We investigate the steady-state optical response of a Laguerre-Gaussian vortex cavity system integrated with cold atoms featuring a double-$\Lambda$ energy level structure. Within this hybrid system, the atoms are driven by cavity mode and three coherent vortex beams, each carrying independent orbital angular momentum (OAM). We first check the steady-state output spectrum of the hybrid system in the passive/active case (without/with external cavity driving). Our findings reveal that the optomechanically induced transparency (OMIT) spectrum is modulated by the OAM difference $(\Delta \ell\hbar)$ from the atomic component throughout the four-wave mixing (FWM) process. The resulting loop phase ($\Delta \ell\theta$) can achieve a switching effect on the absorption and gain behavior of the hybrid system for the probe beam. Additionally, the group delay, indicative of fast/slow light phenomena, is also tuned by $\Delta \ell$. We further display how the atomic OAM modulates the periodicity of the output spot pattern in the hybrid system. This research provides valuable insights into the modulation of optical responses in Laguerre-Gaussian vortex cavity systems.