发表机构
Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences; Huaihua University; Hunan Normal University; Beijing Normal University; Yangzhou University（中国科学院大学杭州高等研究院; 怀化学院; 湖南师范大学; 北京师范大学; 扬州大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究旋转BTZ黑洞中例外点对边界响应的影响，发现EP决定双极点结构但响应强度还取决于物理路径和激发协议。
AI 中文摘要
我们研究了长寿命准正则模的合并是否增强旋转BTZ黑洞的边界响应。利用具有混合Robin边界条件的精确标量解和延迟边界关联函数，我们在固定源和算符归一化下比较了频域共振和时域信号。在适当选择的固定理论中，仅通过改变自旋即可穿越一个例外点（EP）。沿着一条不同的近极端路径，通过调节标量质量和边界耦合来追踪共转EP曲面，一个更高更窄的共振与一个较弱但持续时间更长的双极点脉冲响应共存。频域增强在远离EP时仍然存在，因此并非模式合并所特有。因此，EP决定了双极点结构和Jordan弛豫，但本身并不决定响应强度，后者还依赖于物理路径和激发协议。
英文摘要
We investigate whether the coalescence of long-lived quasinormal modes enhances the boundary response of rotating BTZ black holes. Using exact scalar solutions with mixed Robin boundary conditions and the retarded boundary correlator, we compare frequency-domain resonances and time-domain signals at fixed source and operator normalizations. An exceptional point (EP) can be crossed by varying the spin alone in a suitably selected fixed theory. Along a distinct near-extremal path that tracks the co-rotating EP surface by tuning the scalar mass and boundary coupling, a taller, narrower resonance coexists with a weaker but longer-lasting double-pole impulse response. The frequency-domain enhancement persists away from the EP and is therefore not unique to mode coalescence. Thus, the EP determines the double-pole structure and Jordan relaxation, but does not by itself determine the response strength, which also depends on the physical path and excitation protocol.
