发表机构
Northeast Normal University; Shenyang Normal University; RIKEN Center for Quantum Computing (RQC)（东北师范大学; 沈阳师范大学; 理化学研究所量子计算中心）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究半无限波导中非完美巨原子的束缚态，提出根匹配与重新调谐作为补偿程序，以恢复因耦合强度、位置或相位缺陷而破坏的束缚态，并验证其有效性。
AI 中文摘要
结构化储层中的束缚态需要精确的干涉条件，因此对耦合几何中的缺陷敏感。本文研究了一个两能级巨原子，在多个耦合点与一个镜面终止的半无限波导耦合。精确的原子-光子束缚态要求同时满足出射辐射振幅的抵消以及与原子失谐的色散匹配。广义延迟方程动力学、连续极点谱和实空间光子场验证了该判据对耦合强度、位置和耦合相位缺陷的适用性。对于代表性实现，在强度误差后重新调谐可恢复一、二和三根响应，在位置误差后可恢复一和两根响应。指定的位置缺陷三根配置失败，因为其$2\pi$根不再暗，与$58.77\\%$的光谱失配一致。每个误差幅度下1000次实现的系综显示，强度误差的目标态恢复接近统一，位置误差下指定的一根和两根目标恢复统一但无三根恢复，而独立相位误差下无非平凡的精确恢复。优化的相位缺陷响应反而保持有限线宽。因此，基于实现相关控制重调的根匹配构成了一种补偿程序，而非针对任意无序的通用被动鲁棒性。
英文摘要
Bound states in structured reservoirs require exact interference conditions and are therefore sensitive to imperfections in the coupling geometry. In this paper, we study a two-level giant atom coupled at multiple points to a mirror-terminated semi-infinite waveguide. The exact atom-photon bound state requires both cancellation of the outgoing radiation amplitude and dispersive matching to the atomic detuning. Generalized delay-equation dynamics, continued-pole spectra, and real-space photon fields verify this criterion for coupling-strength, position, and coupling-phase imperfections. For representative realizations, retuning restores one-, two-, and three-root responses after strength errors and one- and two-root responses after position errors. The specified position-imperfect three-root configuration fails because its $2π$ root is no longer dark, consistent with a $58.77\%$ spectral mismatch. Ensembles of 1000 realizations at each error amplitude show near-unity target-state recovery for strength errors, unity recovery of the specified one- and two-root targets but no three-root recovery for position errors, and no nontrivial exact recovery for independent phase errors. Optimized phase-imperfect responses instead retain finite linewidths. Root matching with realization-dependent control retuning therefore constitutes a compensation procedure, rather than generic passive robustness against arbitrary disorder.
Comments22 pages, 13 figures, 1 table
