Recent advances in realizing optical frequency combs using nonlinear parametric processes in integrated photonic resonators have revolutionized on-chip optical clocks, spectroscopy and multichannel optical communications. At the same time, the introduction of topological physics in photonic systems has allowed the design of photonic devices with novel functionalities and inherent robustness against fabrication disorders. Here we use topological design principles to theoretically propose the generation of optical frequency combs and temporal dissipative Kerr solitons in a two-dimensional array of coupled ring resonators that creates a synthetic magnetic field for photons and exhibits topological edge states. We show that these topological edge states constitute a travelling-wave super-ring resonator that leads to the generation of coherent nested optical frequency combs, as well as the self-formation of nested temporal solitons and Turing rolls that are remarkably phase-locked over more than 40 rings. Moreover, we show that the topological nested solitons are robust against defects in the lattice, and a single nested soliton achieves a mode efficiency of over 50%, an order of magnitude higher than single-ring frequency combs. Our topological frequency comb works in a parameter regime that can be readily accessed using existing low-loss integrated photonic platforms like silicon nitride.

在集成光子谐振器中使用非线性参数过程实现光学频率梳的最新进展已经彻底改变了片上光学时钟、光谱学和多通道光学通信。同时，在光子系统中引入拓扑物理允许设计具有新颖功能和固有鲁棒性的光子器件，以防止制造障碍。在这里，我们使用拓扑设计原理从理论上提出在耦合环形谐振器的二维阵列中产生光学频率梳和时间耗散克尔孤子，为光子创建合成磁场并表现出拓扑边缘状态。我们表明，这些拓扑边缘状态构成了一个行波超环谐振器，导致产生相干嵌套光学频率梳，以及嵌套时间孤子和图灵滚的自形成，它们显着锁相。超过 40 环。此外，我们表明拓扑嵌套孤子对晶格缺陷具有鲁棒性，单个嵌套孤子的模式效率超过 50%，比单环频率梳高一个数量级。我们的拓扑频率梳在参数范围内工作，可以使用现有的低损耗集成光子平台（如氮化硅）轻松访问。我们证明了拓扑嵌套孤子对晶格中的缺陷具有鲁棒性，并且单个嵌套孤子实现了超过 50% 的模式效率，比单环频率梳高一个数量级。我们的拓扑频率梳在参数范围内工作，可以使用现有的低损耗集成光子平台（如氮化硅）轻松访问。我们证明了拓扑嵌套孤子对晶格中的缺陷具有鲁棒性，并且单个嵌套孤子实现了超过 50% 的模式效率，比单环频率梳高一个数量级。我们的拓扑频率梳在参数范围内工作，可以使用现有的低损耗集成光子平台（如氮化硅）轻松访问。