腔光力学中奇异点的统一光谱、动力学和关联特征
Unified Spectral, Dynamical, and Correlation Signatures of an Exceptional Point in Cavity Optomechanics
- Universitas Indonesia（印度尼西亚大学）
- National Research and Innovation Agency (BRIN)（国家研究与创新署）
- Republic of Indonesia Defense University（印度尼西亚共和国国防大学）
- Telkom University（Telkom大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
本文研究耗散腔光力学系统中奇异点的可观测特征，证明平方根分裂支配瞬态布居、光谱与关联，并揭示Jordan块导致的弛豫及Siegert关系，连接非厄米合并与实验可观测量。
AI中文摘要：
我们研究了耗散腔光力学系统的奇异点结构如何被实验上可访问的动力学、光谱和量子统计可观测量所继承。在光学-机械共振条件下，有效的非厄米一阶矩动力学表现出二阶奇异点，其中两个本征值及其本征矢量合并，本征值分裂遵循对扰动的特征平方根依赖。我们证明，相同的平方根特征也支配着瞬态光子与声子布居、一阶相干性、光谱极点和二阶强度关联。在奇异点以下，动力学是非振荡的，而在奇异点以上，出现阻尼振荡以及光谱极点的频率分裂。在奇异点处，Jordan块结构产生多项式-指数弛豫和二阶光谱极点。利用量子回归定理和高斯矩分解，我们进一步证明稳态涨落满足联系一阶和二阶关联的Siegert关系。尽管零延迟自关联保持其热值，但有限延迟强度关联表现出清晰的奇异点特征。这一发现将非厄米模式合并与腔光力学中可测量的动力学和关联可观测量联系起来。
英文摘要：
We investigate how the exceptional-point structure of a dissipative cavity optomechanical system is inherited by experimentally accessible dynamical, spectral, and quantum-statistical observables. At optical-mechanical resonance, the effective non-Hermitian first-moment dynamics exhibits a second-order exceptional point, where two eigenvalues and their eigenvectors coalesce and the eigenvalue splitting follows the characteristic square-root dependence on perturbations. We show that the same square-root feature also governs transient photon and phonon populations, first-order coherence, spectral poles, and second-order intensity correlations. Below the exceptional point, the dynamics is non-oscillatory, whereas above it damped oscillations emerge together with frequency splitting of the spectral poles. At the exceptional point, the Jordan-block structure produces polynomial-exponential relaxation and a second-order spectral pole. Using the quantum regression theorem and Gaussian moment factorization, we further show that the stationary fluctuations satisfy the Siegert relation linking first- and second-order correlations. Although the zero-delay autocorrelations retain their thermal value, the finite-delay intensity correlations exhibit clear exceptional point signatures. This finding connects non-Hermitian mode coalescence with measurable dynamical and correlation observables in cavity optomechanics.
