标题： 非厄米谐振器在奇异点处的量子噪声抑制 显示英文标题

标题： Quantum Noise Suppression in Non-Hermitian Resonators at Exceptional Point

摘要： 我们研究量子噪声对处于异常点（EP）的非厄米谐振器的影响。 系统的不可逆马尔可夫动力学使用林德布洛德主方程进行建模，该方程考虑了非相干泵浦、辐射损耗和外部单色场。 推导出一个精确的解析解，形式为霍斯米分布的特征函数，从而可以计算与玻色自由度相关的所有量子力学可观测量。 我们的分析表明，当系统表现出$\mathcal{P}\mathcal{T}$-对称性时，量子噪声强烈影响系统响应。 然而，在$\mathcal{P}\mathcal{T}$-对称区域之外，系统在特定参数区域内表现出稳定性，其中通过增加外部场可以减轻量子噪声对信噪比的影响。 显示英文摘要

摘要： We investigate the impact of quantum noise on non-Hermitian resonators at an exceptional point (EP). The system's irreversible Markovian dynamics is modeled using the Lindblad master equation, which accounts for the incoherent pump, radiative losses, and external monochromatic field. An exact analytic solution is derived in the form of the characteristic function of the Husimi distribution, enabling the calculation of all quantum mechanical observables associated with the bosonic degrees of freedom. Our analysis reveals that quantum noise strongly influences the system's response when the system exhibits $\mathcal{P}\mathcal{T}$-symmetry. Out of the $\mathcal{P}\mathcal{T}$-symmetric regime, however, the system demonstrates stability within a specific parametric domain, where the effects of quantum noise on the signal-to-noise ratio can be mitigated by increasing the external field.