References
Matsko, A. B. & Maleki, L. On timing jitter of mode locked Kerr frequency combs. Opt. Express 21, 28862–28876 (2013).
Yang, Q.-F., Yi, X., Yang, K. Y. & Vahala, K. Counter-propagating solitons in microresonators. Nat. Photon. 11, 560–564 (2017).
Wabnitz, S. Suppression of interactions in a phase-locked soliton optical memory. Opt. Lett. 18, 601–603 (1993).
Leo, F. et al. Temporal cavity solitons in one-dimensional Kerr media as bits in an all-optical buffer. Nat. Photon. 4, 471–476 (2010).
Herr, T. et al. Temporal solitons in optical microresonators. Nat. Photon. 8, 145–152 (2014).
Kippenberg, T., Spillane, S. & Vahala, K. Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity. Phys. Rev. Lett. 93, 083904 (2004).
Savchenkov, A. A. et al. Low threshold optical oscillations in a whispering gallery mode CaF2 resonator. Phys. Rev. Lett. 93, 243905 (2004).
Vahala, K. J. Optical microcavities. Nature 424, 839–846 (2003).
Kippenberg, T. J., Gaeta, A. L., Lipson, M. & Gorodetsky, M. L. Dissipative Kerr solitons in optical microresonators. Science 361, eaan8083 (2018).
Lucas, E. et al. Spatial multiplexing of soliton microcombs. Nat. Photon. 12, 699 (2018).
Wai, P., Menyuk, C. R., Lee, Y. & Chen, H. Nonlinear pulse propagation in the neighborhood of the zero-dispersion wavelength of monomode optical fibers. Opt. Lett. 11, 464–466 (1986).
Akhmediev, N. & Karlsson, M. Cherenkov radiation emitted by solitons in optical fibers. Phys. Rev. A 51, 2602–2607 (1995).
Brasch, V. et al. Photonic chip-based optical frequency comb using soliton Cherenkov radiation. Science 351, 357–360 (2016).
Yang, Q.-F., Yi, X., Yang, K. Y. & Vahala, K. Spatial-mode-interaction-induced dispersive waves and their active tuning in microresonators. Optica 3, 1132–1135 (2016).
Wang, Y. et al. Universal mechanism for the binding of temporal cavity solitons. Optica 4, 855–863 (2017).
Taheri, H., Matsko, A. B. & Maleki, L. Optical lattice trap for Kerr solitons. Eur. Phys. J. D 71, 153 (2017).
Cole, D. C., Lamb, E. S., Del’Haye, P., Diddams, S. A. & Papp, S. B. Soliton crystals in Kerr resonators. Nat. Photon. 11, 671–676 (2017).
Lugiato, L. A. & Lefever, R. Spatial dissipative structures in passive optical systems. Phys. Rev. Lett. 58, 2209–2211 (1987).
Coen, S., Randle, H. G., Sylvestre, T. & Erkintalo, M. Modeling of octave-spanning Kerr frequency combs using a generalized mean-field Lugiato–Lefever model. Opt. Lett. 38, 37–39 (2013).
Cai, M., Painter, O. & Vahala, K. J. Observation of critical coupling in a fiber taper to a silica-microsphere whispering-gallery mode system. Phys. Rev. Lett. 85, 74–77 (2000).
Spillane, S. M., Kippenberg, T. J., Painter, O. J. & Vahala, K. J. Ideality in a fiber-taper-coupled microresonator system for application to cavity quantum electrodynamics. Phys. Rev. Lett. 91, 043902 (2003).
Schibli, T. et al. Attosecond active synchronization of passively mode-locked lasers by balanced cross correlation. Opt. Lett. 28, 947–949 (2003).
Kim, J. & Kaertner, F. X. Attosecond-precision ultrafast photonics. Laser Photon. Rev. 4, 432–456 (2010).
Bao, C. et al. Forced oscillatory motion of trapped counter-propagating solitons. Preprint at https://arxiv.org/abs/2003.00573 (2020).
Barnes, J. A. et al. Characterization of frequency stability. IEEE Trans. Instrum. Meas. 20, 105–120 (1971).
Yi, X., Yang, Q.-F., Yang, K. Y. & Vahala, K. Active capture and stabilization of temporal solitons in microresonators. Opt. Lett. 41, 2037–2040 (2016).
Rosanov, N. & Khodova, G. Diffractive autosolitons in nonlinear interferometers. J. Opt. Soc. Am. B 7, 1057–1065 (1990).
Schäpers, B., Feldmann, M., Ackemann, T. & Lange, W. Interaction of localized structures in an optical pattern-forming system. Phys. Rev. Lett. 85, 748–751 (2000).
Vladimirov, A. G., McSloy, J. M., Skryabin, D. V. & Firth, W. J. Two-dimensional clusters of solitary structures in driven optical cavities. Phys. Rev. E 65, 046606 (2002).
Vahed, H. et al. Phase-mediated long-range interactions of cavity solitons in a semiconductor laser with a saturable absorber. Phys. Rev. A 84, 063814 (2011).
Turaev, D., Vladimirov, A. & Zelik, S. Long-range interaction and synchronization of oscillating dissipative solitons. Phys. Rev. Lett. 108, 263906 (2012).
Garbin, B., Javaloyes, J., Tissoni, G. & Barland, S. Topological solitons as addressable phase bits in a driven laser. Nat. Commun. 6, 5915 (2015).
Garbin, B., Tissoni, G. & Barland, S. Excitable pulses and diffusion of localized states in a driven semiconductor laser with delay. Cybern. Phys. 7, 96–101 (2018).
Drummond, P., Shelby, R., Friberg, S. & Yamamoto, Y. Quantum solitons in optical fibres. Nature 365, 307–313 (1993).
Jeong, D. et al. Ultralow jitter silica microcomb. Optica 7, 1108–1111 (2020).
Jia, K. et al. Photonic flywheel in a monolithic fiber resonator. Phys. Rev. Lett. 125, 143902 (2020).
Paschotta, R. Noise of mode-locked lasers (part I): numerical model. Appl. Phys. B 79, 153–162 (2004).