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The counting and control of optical cycles of light has become common withmodelocked laser frequency combs. But even with advances in laser technology,modelocked laser combs remain bulk-component devices that are hand-assembled.In contrast, a frequency comb based on the Kerr-nonlinearity in a dielectricmicroresonator will enable frequency comb functionality in a micro-fabricatedand chip-integrated package suitable for use in a wide-range of environments.Such an advance will significantly impact fields ranging from spectroscopy andtrace gas sensing, to astronomy, communications, atomic time keeping andphotonic data processing. Yet in spite of the remarkable progress shown overthe past years, microresonator frequency combs ("microcombs") have still beenwithout the key function of direct f-2f self-referencing and phase-coherentfrequency control that will be critical for enabling their full potential. Herewe realize these missing elements using a low-noise 16.4 GHz silicon chipmicrocomb that is coherently broadened from its initial 1550 nm wavelength andsubsequently f-2f self-referenced and phase-stabilized to an atomic clock. Withthis advance, we not only realize the highest repetition rate octave-spanfrequency comb ever achieved, but we highlight the low-noise microcombproperties that support highest atomic clock limited frequency stability.

Phase Coherent Link of an Atomic Clock to a Self-Referenced Microresonator Frequency Comb