We introduce a three-qubit waveguide-QED system to achieve a cavity-QED strong-coupling regime for a probe qubit embedded in atomlike mirrors, which was realized in recent experiments. We then extend this system into the deep non-Markovian regime and demonstrate the profound role that retardation plays on the dressed resonances, allowing one to significantly improve the polariton lifetimes (by several orders of magnitude), tune the resonances, as well as realize Fano-like resonances and simultaneous coupling to multiple cavity modes. Exact Green's function solutions are presented for the classical spectral resonances, and the full quantum dynamics are simulated using matrix product states, where we demonstrate additional control of the cavity-QED system using chiral probe qubits. We show example qubit dynamics with both one and two quantum excitations.

中文翻译：

---

在深非马尔可夫体系中使用三个耦合量子位的宏观波导 QED 中的类腔强耦合

我们引入了一个三量子位波导 QED 系统，以实现嵌入在原子镜中的探针量子位的腔 QED 强耦合机制，这是在最近的实验中实现的。然后，我们将该系统扩展到深度非马尔可夫体系中，并证明延迟对修饰共振的深远影响，使人们能够显着改善极化子寿命（几个数量级），调整共振，以及实现 Fano类似共振和同时耦合到多个腔模式。给出了经典光谱共振的精确格林函数解，并使用矩阵乘积状态模拟了完整的量子动力学，我们展示了使用手性探针量子位对腔 QED 系统的额外控制。