Topological frequency combs and nested temporal solitons

Recent advances in realizing optical frequency combs using nonlinear parametric processes integrated photonic resonators have revolutionized on-chip clocks, spectroscopy, and multi-channel communications. At the same time, introduction of topological physics systems has provided a new paradigm to engineer flow photons, thereby, design devices with novel functionalities inherent robustness against fabrication disorders. Here, we use principles theoretically propose generation temporal Kerr solitons two-dimensional array coupled ring that creates synthetic magnetic field for photons exhibits edge states. We show these states constitute traveling-wave super-ring resonator leads coherent nested combs, self-formation Turing rolls are remarkably phase-locked over >40 rings. In soliton regime, our system operates as pulsed comb achieves mode efficiency >50%, an order magnitude higher than single limited only ~5%. Furthermore, robust defects lattice. This works parameter regime can be readily accessed existing low loss platforms like silicon-nitride. Our results could pave way efficient investigations various other solutions conjunction gauge fields phenomena large arrays resonators.