AI 中文总结
该研究建立了适用于相互作用非厄米临界系统的边界共形场论框架，通过线性与反线性对称配对约束几何，利用复时间边界数据描述双正交全局猝灭的普适动力学。
AI 中文摘要
一维临界点处的全局猝灭可采用边界共形场论（BCFT）描述，其中欧几里得带关联函数被解析延拓至实时间。我们将该构造推广至相互作用非厄米临界系统，此类系统中仅右矢无法确定动力学读出，左余矢是微观猝灭协议的一部分。流向同一共形边界的独立左、右制备态定义了带通常复单侧外推参数的带的两个时间边界，我们利用线性和反线性对称配对约束该几何。在相互作用Yang-Lee自旋链中，经静态校准的边界数据确定了完全特征回复振幅（ primary单点函数）与空间关联函数的双正交动力学。线性配对外推参数的虚部以10^-3相对精度预测了独立演化的反线性配对单点函数的时间中心；相同的制备相位控制局域相位演化与边界块的解析延拓路径。进一步结果通过直接场猝灭、混合左右制备态及带复 primary 维数的五态Potts不动点测试了该形式体系。这些结果为相互作用非厄米临界系统中的双正交全局猝灭建立了BCFT框架，其中复时间边界数据组织起普适的猝灭后动力学。
英文摘要
Global quenches at one-dimensional critical points admit a boundary conformal field theory (BCFT) description in which Euclidean strip correlators are analytically continued to real time. We formulate this construction for interacting non-Hermitian critical systems, where a right ket alone does not specify the dynamical readout and the left covector is part of the microscopic quench protocol. Independent left and right preparations flowing to the same conformal boundary define the two temporal boundaries of a strip with generally complex one-sided extrapolation parameters; linear and antilinear symmetry pairings are exploited to constrain this geometry. In the interacting Yang-Lee spin chain, statically calibrated boundary data determine the biorthogonal dynamics of the complete-character return amplitude, a primary one-point function, and a spatial correlator. The imaginary part of the linear-paired extrapolation parameter predicts the temporal center of an independently evolved antilinear-paired one-point function at the $10^{-3}$ relative level; the same preparation phase controls local phase evolution and the analytic-continuation path of boundary blocks. Further results test this formalism with a direct field-on quench, mixed left and right preparations, and a complex five-state Potts fixed point with complex primary dimensions. These results establish a BCFT framework for biorthogonal global quenches in interacting non-Hermitian critical systems, in which complex temporal-boundary data organize universal post-quench dynamics.
Comments24 pages, 8 figures
