Dirac solitons in optical microresonators

Heming Wang; Yu-Kun Lu; Lue Wu; Dong Yoon Oh; Boqiang Shen; Seung Hoon Lee; Kerry Vahala

doi:10.1038/s41377-020-00438-w

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Dirac solitons in optical microresonators

Original Articles

- Dirac solitons in optical microresonators
- Dirac solitons in optical microresonators
- LSA 2020年9卷第6期页码：2020-2034
- Affiliations：
  
  1.T. J. Watson Laboratory of Applied Physics, California Institute of Technology, Pasadena, CA 91125, USA
  2.Present address: Research Laboratory of Electronics, MIT-Harvard Center for Ultracold Atoms, Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, USA
  3.Present address: Rockley Photonics Inc., Pasadena, CA, USA
  4.Present address: Apple Inc., Cupertino, CA, USA
- Author bio：
  
  Kerry Vahala (vahala@caltech.edu)
- Funds：
- DOI：10.1038/s41377-020-00438-w
  中图分类号：
- 纸质出版日期：2020，
  
  网络出版日期：2020-12-23，
  
  收稿日期：2020-08-13，
  
  修回日期：2020-11-16，
  
  录用日期：2020-11-18
- Accepted：
Scan QR Code
Dirac solitons in optical microresonators[J]. LSA, 2020,9(6):2020-2034.

Wang, H. M. et al. Dirac solitons in optical microresonators. Light: Science & Applications, 9, 2020-2034 (2020).
Dirac solitons in optical microresonators[J]. LSA, 2020,9(6):2020-2034. DOI： 10.1038/s41377-020-00438-w.

Wang, H. M. et al. Dirac solitons in optical microresonators. Light: Science & Applications, 9, 2020-2034 (2020). DOI： 10.1038/s41377-020-00438-w.

摘要

Abstract

Mode-coupling-induced dispersion has been used to engineer microresonators for soliton generation at the edge of the visible band. Here

we show that the optical soliton formed in this way is analogous to optical Bragg solitons and

more generally

to the Dirac soliton in quantum field theory. This optical Dirac soliton is studied theoretically

and a closed-form solution is derived in the corresponding conservative system. Both analytical and numerical solutions show unusual properties

such as polarization twisting and asymmetrical optical spectra. The closed-form solution is also used to study the repetition rate shift in the soliton. An observation of the asymmetrical spectrum is analysed using theory. The properties of Dirac optical solitons in microresonators are important at a fundamental level and provide a road map for soliton microcomb generation in the visible band.

关键词

Keywords

references

Kippenberg, T. J. et al. Dissipative Kerr solitons in optical microresonators.Science361, eaan8083 (2018)..

Diddams, S. A., Vahala, K. J.&Udem, T. Optical frequency combs: coherently uniting the electromagnetic spectrum.Science369, eaay3676 (2020)..

Akhmediev, N.&Ankiewicz, A.Dissipative Solitons: from Optics to Biology and Medicine(Springer, Berlin, 2008).

Kippenberg, T. J., Holzwarth, R.&Diddams, S. A. Microresonator-based optical frequency combs.Science332, 555–559 (2011)..

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. Photonics4, 471–476 (2010)..

Herr, T. et al. Temporal solitons in optical microresonators.Nat. Photonics8, 145–152 (2014)..

Yi, X. et al. Soliton frequency comb at microwave rates in a high-Qsilica microresonator.Optica2, 1078–1085 (2015)..

Brasch, V. et al. Photonic chip–based optical frequency comb using soliton Cherenkov radiation.Science351, 357–360 (2016)..

Joshi, C. et al. Thermally controlled comb generation and soliton modelocking in microresonators.Opt. Lett.41, 2565–2568 (2016)..

Wang, P. H. et al. Intracavity characterization of micro-comb generation in the single-soliton regime.Opt. Express24, 10890–10897 (2016)..

Gong, Z. et al. High-fidelity cavity soliton generation in crystalline AlN micro-ring resonators.Opt. Lett.43, 4366–4369 (2018)..

He, Y. et al. Self-starting bi-chromatic LiNbO3soliton microcomb.Optica6, 1138–1144 (2019)..

Moille, G. et al. Dissipative Kerr solitonsin a III-V microresonator.Laser Photonics Rev.14, 2000022 (2020)..

Suh, M. G. et al. Microresonator soliton dual-comb spectroscopy.Science354, 600–603 (2016)..

Yang, Q. F. et al. Vernier spectrometer using counterpropagating soliton microcombs.Science363, 965–968 (2019)..

Bao, C. Y. et al. Interleaved difference-frequency generation for microcomb spectral densification in the mid-infrared.Optica7, 309–315 (2020)..

Marin-Palomo, P. et al. Microresonator-based solitons for massively parallel coherent optical communications.Nature546, 274–279 (2017)..

Suh, M. G.&Vahala, K. J. Soliton microcomb range measurement.Science359, 884–887 (2018)..

Trocha, P. et al. Ultrafast optical ranging using microresonator soliton frequency combs.Science359, 887–891 (2018)..

Riemensberger, J. et al. Massively parallel coherent laser ranging using a soliton microcomb.Nature581,164–170 (2020)..

Spencer, D. T. et al. An optical-frequency synthesizer using integrated photonics.Nature557, 81–85 (2018)..

Suh, M. G. et al. Searching for exoplanets using a microresonator astrocomb.Nat. Photonics13, 25–30 (2019)..

Obrzud, E. et al. A microphotonic astrocomb.Nat. Photonics13, 31–35 (2019)..

Newman, Z. L. et al. Architecture for the photonic integration of an optical atomic clock.Optica6, 680–685 (2019)..

Stern, B. et al. Battery-operated integrated frequency comb generator.Nature562, 401–405 (2018)..

Shen, B. Q. et al. Integrated turnkey soliton microcombs.Nature582, 365–369 (2020)..

Liu, J. Q. et al. Monolithic piezoelectric control of soliton microcombs.Nature583, 385–390 (2020)..

Carmon, T. et al. Static envelope patterns in composite resonances generated by level crossing in optical toroidal microcavities.Phys. Rev. Lett.100, 103905 (2008)..

Herr, T. et al. Mode spectrum and temporal soliton formation in optical microresonators.Phys. Rev. Lett.113, 123901 (2014)..

Yang, Q. F. et al. Spatial-mode-interaction-induced dispersive waves and their active tuning in microresonators.Optica3, 1132–1135 (2016)..

Xue, X. X. et al. Mode-locked dark pulse Kerr combs in normal-dispersion microresonators.Nat. Photonics9, 594–600 (2015)..

Yi, X. et al. Single-mode dispersive waves and soliton microcomb dynamics.Nat. Commun.8, 14869 (2017)..

Xue, X. X., Zheng, X. P.&Zhou, B. K. Super-efficient temporal solitons in mutually coupled optical cavities.Nat. Photonics13, 616–622 (2019)..

Kim, B. Y. et al. Turn-key, high-efficiency Kerr comb source.Opt. Lett.44, 4475–4478 (2019)..

Lee, S. H. et al. Towards visible soliton microcomb generation.Nat. Commun.8, 1295 (2017)..

Karpov, M. et al. Photonic chip-based soliton frequency combs covering the biological imaging window.Nat. Commun.9, 1146 (2018)..

Christodoulides, D. N.&Joseph, R. I. Slow Bragg solitons in nonlinear periodic structures.Phys. Rev. Lett.62, 1746–1749 (1989)..

Aceves, A.&Wabnitz, S. Self-induced transparency solitons in nonlinear refractive periodic media.Phy. Lett. A141, 37–42 (1989)..

Eggleton, B. J., De Sterke, C. M.&Slusher, R. Bragg solitons in the nonlinear Schrödinger limit: experiment and theory.J. Opt. Soc. Am. B16, 587–599 (1999)..

Wabnitz, S. Forward mode coupling in periodic nonlinear-optical fibers: modal dispersion cancellation and resonance solitons.Opt. Lett.14, 1071–1073 (1989)..

Christodoulides, D. N.&Joseph, R. I. Nonlinear wave propagation in optically active and birefringent media.Opt. Lett.16, 446–448 (1991)..

Tikan, A. et al. Emergent nonlinear phenomena in a driven dissipative photonic dimer. arXiv: 2005.06470. Preprint athttps://arxiv.org/abs/2005.06470https://arxiv.org/abs/2005.06470(2020).

Lugiato, L. A.&Lefever, R. Spatial dissipative structures in passive optical systems.Phys. Rev. Lett.58, 2209–2211 (1987)..

Thirring, W. E. A soluble relativistic field theory.Ann. Phys.3, 91–112 (1958)..

Kuznetsov, E. A.&Mikhailov, A. V. On the complete integrability of the two-dimensional classical thirring model.Theor. Math.Phys.30, 193–200 (1977)..

Pelinovsky, D. E.&Shimabukuro, Y. Orbital stability of Dirac solitons.Lett. Math.l Phys.104, 21–41 (2014)..

Christodoulides, D. N.&Joseph, R. I. Vector solitons in birefringent nonlinear dispersive media.Opt. Lett.13, 53–55 (1988)..

Cundiff, S. T. et al. Observation of polarization-locked vector solitons in an optical fiber.Phy. Rev. Lett.82, 3988–3991 (1999)..

Tang, D. Y. et al. Observation of high-order polarization-locked vector solitons in a fiber laser.Phys. Rev. Lett.101, 153904 (2008)..

Yi, X. et al. Theory and measurement of the soliton self-frequency shift and efficiency in optical microcavities.Opt. Lett.41, 3419–3422 (2016)..

Boyd, R. W.Nonlinear Optics(Academic Press, San Diego, 2008).

Hill, L. et al. Effects of self-and cross-phase modulation on the spontaneous symmetry breaking of light in ring resonators.Phys. Rev. A101, 013823 (2020)..

Akhmediev, N. N.&Ankiewicz, A.Solitons: Nonlinear Pulses and Beams. (Chapman&Hall, London, 1997).

Bao, C. Y. et al. Observation of Fermi-Pasta-Ulam recurrence induced by breather solitons in an optical microresonator.Phys. Rev. Lett.117, 163901 (2016)..

Yu, M. J. et al. Breather soliton dynamics in microresonators.Nat. Commun.8, 14569 (2017)..

Lucas, E. et al. Breathing dissipative solitons in optical microresonators.Nat. Commun.8, 736 (2017)..

Guo, H. R. et al. Intermode breather solitons in optical microresonators.Phys. Rev. X7, 041055 (2017)..

Lee, H. et al. Chemically etched ultrahigh-Qwedge-resonator on a silicon chip.Nat. Photonics6, 369–373 (2012)..

Wu, L. et al. Greater than one billion Q factor for on-chip microresonators.Optics Letters45, 5129–5131 (2020)..

Snyder, A. W.&Love, J. D.Optical Waveguide Theory(Springer, New York, 1983).

Dai, D. X.&Bowers, J. E. Novel concept for ultracompact polarization splitter-rotator based on silicon nanowires.Opt. Express19, 10940–10949 (2011)..

Li, J. et al. Low-pump-power, low-phase-noise, and microwave to millimeter-wave repetition rate operation in microcombs.Phys. Rev. Lett.109, 233901 (2012)..

Miller, S. et al. On-chip frequency comb generation at visible wavelengths via simultaneous second-and third-order optical nonlinearities.Opt. Express22, 26517–26525 (2014)..

Wang, L. R. et al. Frequency comb generation in the green using silicon nitride microresonators.Laser Photon. Rev.10, 631–638 (2016)..

Xue, X. X. et al. Second-harmonic-assisted four-wave mixing in chip-based microresonator frequency comb generation.Light Sci. Appl.6, e16253 (2017)..

Chen, H. J. et al. Chaos-assisted two-octave-spanning microcombs.Nat. Commun.11, 2336 (2020)..

Ramelow, S. et al. Strong polarization mode coupling in microresonators.Opt. Lett.39, 5134–5137 (2014)..

Liu, Y. et al. Investigation of mode coupling in normal-dispersion silicon nitride microresonators for Kerr frequency comb generation.Optica1, 137–144 (2014)..

Miller, S. A. et al. Tunable frequency combs based on dual microring resonators.Opt. Express23, 21527–21540 (2015)..

Soltani, M., Matsko, A.&Maleki, L. Enabling arbitrary wavelength frequency combs on chip.Laser Photon. Rev.10, 158–162 (2016)..

D'Aguanno, G.&Menyuk, C. R. Coupled Lugiato-Lefever equation for nonlinear frequency comb generation at an avoided crossing of a microresonator.Eur. Phys. J. D71, 74 (2017)..

Yang, Q. F. et al. Counter-propagating solitons in microresonators.Nat. Photonics11, 560–564 (2017)..

Landau, L. D.&Lifshitz, E. M.Mechanics1 (Butterworth-Heinemann, Oxford, 1976).

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