Ultrafast Science, Volume. 4, Issue 1, 0061(2024)
Quasi-Period Dynamics of Soliton Molecules: Route to Chaos and Intrinsic Frequency Entrainment
[1] [1] Grelu P, Akhmediev N. Dissipative solitons for mode-locked lasers. Nat Photonics. 2012;6(2):84–92.
[2] [2] Fermann ME, Hartl I. Ultrafast fibre lasers. Nat Photonics. 2013;7(11):868–874.
[3] [3] Malomed BA. Bound states of envelope solitons. Phys Rev E. 1993;47(4):2874.
[4] [4] Tang DY, Man WS, Tam HY, Drummond PD. Observation of bound states of solitons in a passively mode-locked fiber laser. Phys Rev A. 2001;64(3):033814.
[5] [5] Grelu P, Belhache F, Gutty F, Soto-Crespo JM. Phase-locked soliton pairs in a stretched-pulse fiber laser. Opt Lett. 2002;27(11):966–968.
[6] [6] Liu X, Yao X, Cui Y. Real-time observation of the buildup of soliton molecules. Phys Rev Lett. 2018;121(2):023905.
[7] [7] Peng J, Zeng H. Build-up of dissipative optical soliton molecules via diverse soliton interactions. Laser Photonics Rev. 2018;12(8):1800009.
[8] [8] Wang ZQ, Nithyanandan K, Coillet A, Tchofo-Dinda P, Grelu P. Optical soliton molecular complexes in a passively mode-locked fibre laser. Nat Commun. 2019;10(1):830.
[9] [9] He W, Pang M, Yeh DH, Huang J, PSJ R. Synthesis and dissociation of soliton molecules in parallel optical-soliton reactors. Light Sci Appl. 2021;10(1):120.
[11] [11] Sulimany K, Tziperman O, Bromberg Y, Gat O. Soliton-pair dynamical transition in mode-locked lasers. Optica. 2022;9(11):1260–1267.
[12] [12] Qin H, Xiao X, Wang P, Yang C. Observation of soliton molecules in a spatiotemporal mode-locked multimode fiber laser. Opt Lett. 2018;43(9):1982–1985.
[13] [13] Zhou Y, Ren YX, Shi J, Mao H, Wong KKY. Wong, KK. Buildup and dissociation dynamics of dissipative optical soliton molecules. Optica. 2020;7(8):965–972.
[16] [16] Akhmediev N, Soto-Crespo JM, Town G. Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: Complex Ginzburg-Landau equation approach. Phys Rev E. 2001;63(5):056602.
[17] [17] Krupa K, Nithyanandan K, Andral U, Tchofo-Dinda P, Grelu P. Real-time observation of internal motion within ultrafast dissipative optical soliton molecules. Phys Rev Lett. 2017;118(24):243901.
[18] [18] Herink G, Kurtz F, Jalali B, Solli DR, Ropers C. Real-time spectral interferometry probes the internal dynamics of femtosecond soliton molecules. Science. 2017;356(6333):50–54.
[19] [19] Akhmediev N, Ankiewicz A, Soto-Crespo JM. Multisoliton solutions of the complex Ginzburg-Landau equation. Phys Rev Lett. 1997;79(21):4047.
[21] [21] Hamdi S, Coillet A, Cluzel B, Grelu P, Colman P. Superlocalization reveals long-range synchronization of vibrating soliton molecules. Phys Rev Lett. 2022;128(21):213902.
[22] [22] Kurtz F, Ropers C, Herink G. Resonant excitation and all-optical switching of femtosecond soliton molecules. Nat Photonics. 2020;14(1):9–13.
[24] [24] Dmitriev SV, Kivshar YS, Shigenari T. Fractal structures and multiparticle effects in soliton scattering. Phys Rev E. 2001;64(5):056613.
[25] [25] Tosa V, Altucci C, Kovács K, Negro M, Stagira S, Velotta R. Isolated attosecond pulse generation by two-mid-IR laser fields. IEEE J Sel Top Quantum Electron. 2011;18(1):239–247.
[26] [26] Willms S, Bose S, Melchert O, Morgner U, Babushkin I, Demircan A. Self-generation of two-frequency compound states. IEEE Photonics Technol Lett. 2023;35(8):406–409.
[27] [27] Lieske SP, Thoby-Brisson M, Telgkamp P, Ramirez JM. Reconfiguration of the neural network controlling multiple breathing patterns: Eupnea, sighs and gasps. Nat Neurosci. 2000;3(6):600–607.
[28] [28] Zhao F, Ma X, Cao S. Periodic bursting oscillations in a hybrid Rayleigh–Van der pol–duffing oscillator. Nonlinear Dyn. 2023;111(3):2263–2279.
[29] [29] Romeira B, Kong F, Figueiredo JM, Javaloyes J, Yao J. High-speed spiking and bursting oscillations in a long-delayed broadband optoelectronic oscillator. J Lightwave Technol. 2014;33(2):503–510.
[30] [30] Soto-Crespo JM, Grapinet M, Grelu P, Akhmediev N. Bifurcations and multiple-period soliton pulsations in a passively mode-locked fiber laser. Phys Rev E. 2004;70(6):066612.
[31] [31] Pikovsky A, Rosenblum M, Kurths J. Synchronization: A universal concept in nonlinear science. Cambridge (UK): Cambridge University Press; 2003.
[33] [33] Zhou Y, Shi J, Ren Y-X, Wong KKY. Reconfigurable dynamics of optical soliton molecular complexes in an ultrafast thulium fiber laser. Commun Phys. 2022;5(1):302.
[34] [34] Liu Y, Huang S, Li Z, Liu H, Sun Y, Xia R, Yan L, Luo Y, Liu H, Xu G, et al. Phase-tailored assembly and encoding of dissipative soliton molecules. Light Sci Appl. 2023;12(1):123.
[35] [35] Song Y, Zou D, Gat O, Hu M, Grelu P. Chaotic internal dynamics of dissipative optical soliton molecules. Laser Photonics Rev. 2023;17(8):2300066.
[36] [36] Cole DC, Papp SB. Subharmonic entrainment of Kerr breather solitons. Phys Rev Lett. 2019;123(17):173904.
[37] [37] Xian T, Zhan L, Wang W, Zhang W. Subharmonic entrainment breather solitons in ultrafast lasers. Phys Rev Lett. 2020;125(16):163901.
[38] [38] Wu X, Zhang Y, Peng J, Boscolo S, Finot C, Zeng H. Farey tree and devil’s staircase of frequency-locked breathers in ultrafast lasers. Nat Commun. 2022;13(1):5784.
[40] [40] Song Y, Zhou F, Tian H, Hu M. Attosecond timing jitter within a temporal soliton molecule. Optica. 2020;7(11):1531–1534.
[41] [41] Shi H, Song Y, Wang C, Zhao L, Hu M. Observation of subfemtosecond fluctuations of the pulse separation in a soliton molecule. Opt Lett. 2018;43(7):1623–1626.
[42] [42] Fraser AM, Swinney HL. Independent coordinates for strange attractors from mutual information. Phys Rev A. 1986;33(2):1134.
[43] [43] Molenaar D, Clercx HJH, Van Heijst GJF. Transition to chaos in a confined two-dimensional fluid flow. Phys Rev Lett. 2005;95(10):104503.
[44] [44] Rosenstein MT, Collins JJ, De Luca CJ. A practical method for calculating largest Lyapunov exponents from small data sets. Phys D. 1993;65(1-2):117–134.
[45] [45] Haus HA, Fujimoto JG, Ippen EP. Structures for additive pulse mode locking. J Opt Soc Am B. 1991;8(10):2068–2076.
[46] [46] Haus HA. Mode-locking of lasers. IEEE J Sel Top Quantum Electron. 2000;6(6):1173–1185.
[47] [47] Meng F, Lapre C, Billet C, Genty G, Dudley J. Instabilities in a dissipative soliton-similariton laser using a scalar iterative map. Opt Lett. 2020;45(5):1232–1235.
[48] [48] Zou D, Zhang Y, Song Y, Hu M. Sub-100 fs bound state solitons and period-doubling bifurcations in a mode-locked fiber laser. IEEE Photonics Technol Lett. 2020;32(20):1311–1314.
[50] [50] Fraser AM, Swinney HL. Independent coordinates for strangeattractors from mutual information. Phys Rev A. 1986;33(2):1134.
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Defeng Zou, Runmin Liu, Huanhuan Liu, Jinna Chen, Hong Dang, Jialong Li, Aoyan Zhang, Youjian Song, Perry Ping Shum, Minglie Hu. Quasi-Period Dynamics of Soliton Molecules: Route to Chaos and Intrinsic Frequency Entrainment[J]. Ultrafast Science, 2024, 4(1): 0061
Category: Research Articles
Received: Nov. 6, 2023
Accepted: Feb. 27, 2024
Published Online: Dec. 13, 2024
The Author Email: Song Youjian (yjsong@tju.edu.cn), Shum Perry Ping (shenp@sustech.edu.cn), Hu Minglie (huminglie@tju.edu.cn)