Diddams, S. A., Vahala, K. & Udem, T. Optical frequency combs: coherently uniting the electromagnetic spectrum. Science 369, eaay3676 (2020).
Google Scholar
Fortier, T. & Baumann, E. 20 years of developments in optical frequency comb technology and applications. Commun. Phys. 2, 153 (2019).
Google Scholar
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E. & Schmidt, P. O. Optical atomic clocks. Rev. Mod. Phys. 87, 637–701 (2015).
Google Scholar
Diddams, S. A. et al. An optical clock based on a single trapped 199 Hg+ ion. Science 293, 825–828 (2001).
Google Scholar
Martin, K. W. et al. Compact optical atomic clock based on a two-photon transition in rubidium. Phys. Rev. Appl. 9, 014019 (2018).
Google Scholar
Bothwell, T. et al. JILA SrI optical lattice clock with uncertainty of. Metrologia 56, 065004 (2019).
Google Scholar
Kippenberg, T. J., Gaeta, A. L., Lipson, M. & Gorodetsky, M. L. Dissipative Kerr solitons in optical microresonators. Science 361, eaan8083 (2018).
Google Scholar
Ma, L.-S. et al. Optical frequency dynthesis and comparison with uncertainty at the 10−19 level. Science 303, 1843–1845 (2004).
Google Scholar
Spencer, D. T. et al. An optical-frequency synthesizer using integrated photonics. Nature 557, 81–85 (2018).
Google Scholar
Coddington, I., Swann, W. C., Nenadovic, L. & Newbury, N. R. Rapid and precise absolute distance measurements at long range. Nat. Photonics 3, 351–356 (2009).
Google Scholar
Riemensberger, J. et al. Massively parallel coherent laser ranging using a soliton microcomb. Nature 581, 164–170 (2020).
Google Scholar
Tiesinga, E., Mohr, P. J., Newell, D. B. & Taylor, B. N. CODATA recommended values of the fundamental physical constants: 2018. Rev. Mod. Phys. 93, 025010 (2021).
Google Scholar
Holzwarth, R., Zimmermann, M., Udem, T. & Hansch, T. W. Optical clockworks and the measurement of laser frequencies with a mode-locked frequency comb. IEEE J. Quantum Electron. 37, 1493–1501 (2001).
Google Scholar
Papp, S. B. et al. Microresonator frequency comb optical clock. Optica 1, 10–14 (2014).
Google Scholar
Newman, Z. L. et al. Architecture for the photonic integration of an optical atomic clock. Optica 6, 680 (2019).
Google Scholar
Drake, T. E. et al. Terahertz-rate Kerr-microresonator optical clockwork. Phys. Rev. X 9, 031023 (2019).
Google Scholar
Li, Q. et al. Stably accessing octave-spanning microresonator frequency combs in the soliton regime. Optica 4, 193 (2017).
Google Scholar
Okawachi, Y. et al. Octave-spanning frequency comb generation in a silicon nitride chip. Opt. Lett. 36, 3398–3400 (2011).
Google Scholar
Pfeiffer, M. H. P. et al. Octave-spanning dissipative Kerr soliton frequency combs in Si3N4 microresonators. Optica 4, 684–691 (2017).
Google Scholar
Yu, S.-P. et al. Tuning Kerr-soliton frequency combs to atomic resonances. Phys. Rev. Appl. 11, 044017 (2019).
Google Scholar
Manurkar, P. et al. Fully self-referenced frequency comb consuming 5 watts of electrical power. OSA Continuum 1, 274–282 (2018).
Google Scholar
Shaw, J. K., Fredrick, C. & Diddams, S. A. Versatile digital approach to laser frequency comb stabilization. OSA Continuum 2, 3262–3271 (2019).
Google Scholar
Stern, B., Ji, X., Okawachi, Y., Gaeta, A. L. & Lipson, M. Battery-operated integrated frequency comb generator. Nature 562, 401–405 (2018).
Google Scholar
Riehle, F. Frequency Standards: Basics and Applications (Wiley-VCH, 2004).
Yang, Q.-F., Yi, X., Yang, K. Y. & Vahala, K. Counter-propagating solitons in microresonators. Nat. Photonics 11, 560–564 (2017).
Google Scholar
Wang, Y. et al. Universal mechanism for the binding of temporal cavity solitons. Optica 4, 855 (2017).
Google Scholar
Moille, G. et al. Two-dimensional nonlinear mixing between a dissipative Kerr soliton and continuous waves for a higher-dimension frequency comb. Preprint at https://arxiv.org/abs/2303.10026 (2023).
Moille, G. et al. Ultra-broadband Kerr microcomb through soliton spectral translation. Nat. Commun. 12, 7275 (2021).
Google Scholar
Qureshi, P. C. et al. Soliton linear-wave scattering in a Kerr microresonator. Commun. Phys. 5, 1–8 (2022).
Google Scholar
Zhang, S., Silver, J. M., Bi, T. & Del’Haye, P. Spectral extension and synchronization of microcombs in a single microresonator. Nat. Commun. 11, 6384 (2020).
Google Scholar
Lu, Z. et al. Synthesized soliton crystals. Nat. Commun. 12, 3179 (2021).
Google Scholar
Taheri, H., Matsko, A. B., Maleki, L. & Sacha, K. All-optical dissipative discrete time crystals. Nat. Commun. 13, 848 (2022).
Google Scholar
Coullet, P., Gilli, J. M., Monticelli, M. & Vandenberghe, N. A damped pendulum forced with a constant torque. Am. J. Phys. 73, 1122–1128 (2005).
Google Scholar
Todd, C. et al. Dynamics of temporal Kerr cavity solitons in the presence of rapid parameter inhomogeneities: from bichromatic driving to third-order dispersion. Phys. Rev. A 107, 013506 (2023).
Google Scholar
Jang, J. K., Erkintalo, M., Coen, S. & Murdoch, S. G. Temporal tweezing of light through the trapping and manipulation of temporal cavity solitons. Nat. Commun. 6, 7370 (2015).
Google Scholar
Englebert, N. et al. Bloch oscillations of coherently driven dissipative solitons in a synthetic dimension. Nat. Phys. 19, 1014–1021 (2023).
Google Scholar
Zhang, S. et al. Sub-milliwatt-level microresonator solitons with extended access range using an auxiliary laser. Optica 6, 206 (2019).
Google Scholar
Zhou, H. et al. Soliton bursts and deterministic dissipative Kerr soliton generation in auxiliary-assisted microcavities. Light: Sci. Appl. 8, 50 (2019).
Google Scholar
Appleton, E. V. The automatic synchronization of triode Oscillators. Proc. Camb. Phil. Soc. 21, (1922).
Taheri, H., Matsko, A. B. & Maleki, L. Optical lattice trap for Kerr solitons. Eur. Phys. J. D 71, 153 (2017).
Google Scholar
Moille, G., Li, Q., Xiyuan, L. & Srinivasan, K. pyLLE: a fast and user friendly Lugiato–Lefever equation solver. J. Res. Natl Inst. Stand. Technol. 124, 124012 (2019).
Google Scholar
Stone, J. R. & Papp, S. B. Harnessing dispersion in soliton microcombs to mitigate thermal noise. Phys. Rev. Lett. 125, 153901 (2020).
Google Scholar
Shen, B. et al. Integrated turnkey soliton microcombs. Nature 582, 365–369 (2020).
Google Scholar
Voloshin, A. S. et al. Dynamics of soliton self-injection locking in optical microresonators. Nat. Commun. 12, 235 (2021).
Google Scholar
Liehl, A. et al. Broadband analysis and self-control of spectral fluctuations in a passively phase-stable Er-doped fiber frequency comb. Phys. Rev. A 101, 023801 (2020).
Google Scholar
Friederich, F. et al. Phase-locking of the beat signal of two distributed-feedback diode lasers to oscillators working in the MHz to THz range. Opt. Express 18, 8621–8629 (2010).
Google Scholar
Chang, L. et al. Strong frequency conversion in heterogeneously integrated GaAs resonators. APL Photonics 4, 036103 (2019).
Google Scholar
Chen, J.-Y. et al. Efficient frequency doubling with active stabilization on chip. Laser Photonics Rev. 15, 2100091 (2021).
Google Scholar
Lu, J., Li, M., Zou, C.-L., Sayem, A. A. & Tang, H. X. Toward 1% single-photon anharmonicity with periodically poled lithium niobate microring resonators. Optica 7, 1654–1659 (2020).
Google Scholar
Lu, X., Moille, G., Rao, A., Westly, D. A. & Srinivasan, K. Efficient photo-induced second harmonic generation in silicon nitride photonics. Nat. Photonics 15, 131–136 (2021).
Google Scholar
Moille, G. et al. Integrated buried heaters for efficient spectral control of air-clad microresonator frequency combs. APL Photonics 7, 126104 (2022).
Google Scholar
Xiang, C. et al. Laser soliton microcombs heterogeneously integrated on silicon. Science 373, 99–103 (2021).
Google Scholar