发表机构
University of Texas, Austin; Rice University（德克萨斯大学奥斯汀分校; 莱斯大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究通过双迹形变耦合两个CFT并求迹掉浴自由度，在全息框架下构造开放量子系统，解析推导了AdS与BTZ黑洞耦合几何的准正规模式，并建立了耗散与透射的关系。
AI 中文摘要
我们通过双迹形变耦合两个CFT，并在Schwinger-Keldysh形式中求迹掉浴自由度，从而构造了一个全息开放量子系统。该过程给出了剩余扇区非幺正约化动力学的有效描述，其线性响应由其推迟格林函数编码。在双迹耦合的微扰框架下，我们推导了涉及纯AdS以及旋转或非旋转BTZ黑洞的若干耦合几何中准正规模式的闭式表达式，并考虑了两种可能的系统/浴分配。对于先前在arXiv:2509.14312中研究的非旋转构型，我们的解析表达式与数值结果一致，而我们的处理将分析扩展到了涉及旋转BTZ黑洞的构型。最后，超越微扰理论，我们在一般的AdS-BTZ设置中推导了耗散与透射之间的关系。
英文摘要
We construct a holographic open quantum system by coupling two CFTs through a double trace deformation and tracing out the bath degrees of freedom within the Schwinger-Keldysh formalism. This procedure yields an effective description of the nonunitary reduced dynamics of the remaining sector, whose linear response is encoded in its retarded Green's function. Working perturbatively in the double trace coupling, we derive closed form expressions for the quasinormal modes of several coupled geometries involving pure AdS and rotating or nonrotating BTZ black holes, considering both possible system/bath assignments. For the nonrotating configurations previously investigated in arXiv:2509.14312, our analytic expressions agree with the numerical results, while our treatment extends the analysis to configurations involving rotating BTZ black holes. Finally, moving beyond perturbation theory, we derive a relation between dissipation and transmission in the general AdS-BTZ setup.
Comments64 pages + 3 appendices, 21 figures
