AI 中文总结
该研究通过将二维SSH晶格与巨型原子耦合，在其体内任意位置合成拓扑角态，实现了可重构的拓扑边界模式嵌入，为可扩展拓扑量子网络提供了稳健平台。
AI 中文摘要
高阶拓扑绝缘体中的角态通常被限制在几何角处，限制了其在可扩展量子信息处理中的灵活性。我们提出一种方案，通过将二维Su-Schrieffer-Heeger（SSH）晶格与巨型原子耦合，在其体内任意位置合成拓扑角态。通过设计满足类空位修饰态（VDS）条件的L形多点耦合，其中光子波函数在耦合位点处消失以形成人工体边界，我们推导了在任意目标位置合成零能角态的条件。我们证明，所设计的角态具有高保真度和空间局域性，对实际无序具有鲁棒性。扩展至多原子网络，我们通过巨型超原子实现了一种通用量子开关，可通过双共振条件对0维角态和1维边态实现多通道控制。此外，我们证明了由VDS设计的角态介导的两个巨型原子之间的相干相互作用，受子晶格选择规则支配，耦合仅在相交构型中激活且随距离指数衰减。我们的工作建立了一个高度可重构的平台，用于在体内嵌入拓扑边界模式，为可扩展拓扑量子网络提供了一条稳健途径。
英文摘要
Corner states in higher-order topological insulators are typically confined to geometric corners, limiting their flexibility for scalable quantum information processing. We propose a scheme to synthesize topological corner states at arbitrary positions within the bulk of a two-dimensional Su-Schrieffer-Heeger (SSH) lattice by coupling it to giant atoms. By engineering an L-shaped multi-point coupling that satisfies the vacancy-like dressed state (VDS) condition, where the photonic wavefunction vanishes at the coupling sites to form an artificial bulk boundary, we derive the conditions for synthesizing a zero-energy corner state at any target position. We demonstrate that the engineered corner state exhibits high fidelity and spatial localization, remaining robust against realistic disorder. Extending to multi-atom networks, we realize a versatile quantum switch via a giant superatom, enabling multi-channel control over 0D corner states and 1D edge states through the dual-resonance condition. Furthermore, we demonstrate the coherent interactions between two giant atoms mediated by VDS-engineered corner states. Governed by a sublattice selection rule, the coupling activates exclusively in intersecting configurations and decays exponentially with distance. Our work establishes a highly reconfigurable platform for embedding topological boundary modes within the bulk, offering a robust pathway for scalable topological quantum networks.
Comments12 pages, 12 figures
