本项目利用光纤通信系统构建时域光子晶格，通过改变调制相位引入等效规范势和等效电场，研究在等效电场作用下的光脉冲演化规律及机制。再通过改变环路系统空间结构或相位调制，引入合成维度，构造等效规范势的二维分布，形成等效磁场，研究光脉冲在等效磁场中演化的拓扑性质。其次，在光纤环路中引入增益和损耗，构建非厄米时域光子晶格，探索PT对称和PT反对称条件下光脉冲的演化，同时分析系统奇异点附近参数改变对光脉冲传输的影响。此外，在光纤通信系统环路中引入非线性光纤，构建非线性时域光子晶格，研究非线性晶格中的单孤子和矢量孤子及其传输特性，以及非线性对光脉冲传输的拓扑和非厄米特性的影响，探索全光控制光脉冲演化的新方法。最后，在光纤通信系统实验的基础上，进一步考虑在集成光路上实现光脉冲的有效调控。本项目将空间光子晶格拓展到时域，在光通信、光信息处理、高灵敏度传感、集成光子芯片等领域有重要应用价值。

In this proposal, we shall construct a temporal photonic lattice by the optical fiber communication system. The effective gauge potential and electric field for photon can be created through phase modulation. We will investigate the features and mechanisms of pulse dynamics under the effective electric field. A novel synthetic dimension can be introduced by modifying the structure of the fiber-loop circuit or changing the form of the phase modulation. An effective magnetic field will be formed as we construct an effective gauge potential with a two-dimensional distribution. We shall study the topological properties of the pulse evolution under the effective magnetic field. By adding gain and loss into the fiber-loop circuit, a non-Hermitian photonic lattice can be established. We will explore the pulse dynamics in the parity-time symmetric and anti-parity-time symmetric lattices and investigate the influences of the parameter changes on the pulse evolution around the exceptional point. Moreover, a nonlinear temporal photonic lattice will be achieved by inserting nonlinear fibers into the fiber-loop circuit. The single soliton and vector soliton could be formed in such lattice, and their propagation properties will be discussed. We then investigate the impacts of the nonlinearity on the topological and non-Hermitian characteristics of the pulse evolution and explore the novel methods of all-optical pulse manipulation. Finally, we aim to achieve the efficient control of the pulse dynamics in the photonic integrated circuit based on the optical fiber communication system. This program develops a photonic lattice in time domain by drawing an analogy of the spatial lattice and will find great applications in optical communication, optical signal processing, highly sensitive sensors and photonic integrated circuits.