具有零频率牵引和窄线宽的超辐射边带辅助激光器的数值分析
Numerical analysis of a superradiance-sideband-assisted laser with a zero frequency pulling and a narrow linewidth
AI总结：
本研究通过量子朗之万方程数值模拟超辐射边带辅助激光器，实现了零频率牵引的中心激光峰，其线宽可低至原子/腔线宽的百万分之一，且可利用边带峰高差实现泵浦激光的原子锁定，为新型超稳主动光学钟提供了新思路。
摘要：
针对束流中大量二能级原子与低Q腔相互作用、原子初始叠加态接近布洛赫球北极的系统，开展了基于量子朗之万方程的数值模拟。当泵浦拉比频率以Δₚₐ调制、泵浦-原子失谐为零，且腔-原子失谐取不同值时，我们同时得到了原子共振处的激光峰和±Δₚₐ处的超辐射激光峰，且中心峰表现出零频率牵引系数。随着平均原子数增加，中心峰的线宽被压缩至超出增益窄化的程度，最小线宽仅为原子线宽或腔线宽的百万分之一。泵浦载流子失谐会导致两侧超辐射峰的高度不对称，其高度差可用于将泵浦激光器锁定到原子上，锁定精度优于中心激光峰的线宽。我们的研究结果若应用于合适的原子系统，有望推动用于未来频率标准的新型超稳主动光学钟的研发。
英文摘要：
Numerical simulations based on the quantum Langevin equations have been performed for a large number of two-level atoms in a beam interacting with a low-Q cavity with the atomic initial superposition states close to the north pole of the Bloch sphere. When the pump Rabi frequency was modulated at $Δ_{pa}$ with zero pump-atom detuning for various cavity-atom detunings, we obtained a lasing peak at the atomic resonance and superradiant lasing peaks at $\pmΔ_{pa}$ simultaneously while the central peak exhibiting a zero frequency pulling coefficient. The linewidth of the central peak was reduced beyond the gain narrowing as the mean number of atoms was increased, resulting in a minimum linewidth as small as a millionth of the atomic or cavity linewdith. A pump carrier detuning caused asymmetric heights for the side superradiant peaks, the height difference of which can be used to lock the pump laser to the atom within the linewidth of the central lasing peak. Our results may lead to development of a new type of ultra-stable active optical clocks for future frequency standards when applied to proper atomic systems.
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