Topological photonics is an incipient research area where the well-developed theory and applications of so-called topological insulators is applied to photonic systems. In that vein, specially-designed ring waveguides, arranged in a periodic structure and evanescently coupled, have shown the ability to propagate edge states that are robust against defects in the lattice. Here, we propose the application of photonic topologically-protected edge states (TPES) in the anomalous Floquet photonic topological insulator structures to develop a device that is able to behave as OR, AND, and XOR logic gates, depending on the characteristics of the excitation field. Materials and dimensions of the device are amenable to conventional fabrication methods, opening the possibility for implementation in on-chip photonic communication technology. We conclude by applying our results to the implementation of an all-optical two bit calculator based on TPES, a potential building block for future computational technology.

拓扑光子学是一个新兴的研究领域，将所谓拓扑绝缘体的成熟理论和应用应用于光子系统。在这种情况下，特殊设计的环形波导，以周期性结构排列并渐逝耦合，已经显示出传播边缘状态的能力，这些边缘状态对晶格中的缺陷具有鲁棒性。在这里，我们建议在异常 Floquet 光子拓扑绝缘体结构中应用光子拓扑保护边缘态 (TPES)，以开发一种能够作为 OR、AND 和 XOR 逻辑门的器件，具体取决于激发的特性场地。该器件的材料和尺寸适用于传统的制造方法，为在片上光子通信技术中实现提供了可能性。