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The phase-coherent frequency division of a stabilized optical reference laserto the microwave domain is made possible by optical frequency combs (OFCs).Fundamentally, OFC-based clockworks rely on the ability to lock one comb toothto this reference laser, which probes a stable atomic transition. The activefeedback process associated with locking the comb tooth to the reference laserintroduces complexity, bandwidth, and power requirements that, in the contextof chip-scale technologies, complicate the push to fully integrate OFCphotonics and electronics for fieldable clock applications. Here, wedemonstrate passive, electronics-free synchronization of a microresonator-baseddissipative Kerr soliton (DKS) OFC to a reference laser. We show that the Kerrnonlinearity within the same resonator in which the DKS is generated enablesphase locking of the DKS to the externally injected reference. We present atheoretical model to explain this Kerr-induced synchronization (KIS), and findthat its predictions for the conditions under which synchronization occurclosely match experiments based on a chip-integrated, silicon nitride microringresonator. Once synchronized, the reference laser is effectively an OFC tooth,which we show, theoretically and experimentally, enables through its frequencytuning the direct external control of the OFC repetition rate. Finally, weexamine the short- and long-term stability of the DKS repetition rate and showthat the repetition rate stability is consistent with the frequency division ofthe expected optical clockwork system.

Kerr-Induced Synchronization of a Cavity Soliton to an Optical Reference