Emergent Phenomena of Vector Solitons Induced by the Linear Coupling
Yueqing Du
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorZhiwen He
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorQun Gao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorHeze Zhang
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorChao Zeng
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorCorresponding Author
Dong Mao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
E-mail: [email protected]
Search for more papers by this authorJianlin Zhao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorYueqing Du
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorZhiwen He
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorQun Gao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorHeze Zhang
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorChao Zeng
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorCorresponding Author
Dong Mao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
E-mail: [email protected]
Search for more papers by this authorJianlin Zhao
Key Laboratory of Light Field Manipulation and Information Acquisition, Ministry of Industry and Information Technology, Shaanxi Key Laboratory of Optical Information Technology, School of Physical Science and Technology, Northwestern Polytechnical University, Xi'an, 710129 China
Search for more papers by this authorAbstract
Coupling between modes is crucial for generating coherent structures and spatiotemporal chaos in optical systems. In an ultrafast fiber laser with birefringence, the stable pulse is viewed as a vector soliton (VS) with two orthogonal modes nonlinearly coupled through the Kerr effect and gain/loss. However, the dynamics of a VS in the presence of linear coupling is unperceived despite linear coupling playing a significant role in various optical systems. Here, it is shown that a local linear coupling between polarization modes in lasers facilitates brand-new nonlinear states, including stationary, breathing, and chaotic VSs. The observed solitary states can be regarded as emergent phenomena when two particles (polarization modes) in a system have a simple interaction (linear coupling), which are ubiquitous in biology, chemistry, and complex systems. It is found that linear coupling is essential for sustaining the internal balance between two modes within the VS. Chaotic dynamics of VS emerge under weak linear coupling, while the two modes lose trapping due to the birefringence in the absence of linear coupling. This work can offer new insight into the two-mode nonlinear system and inspire research interests in the intelligent manipulation of ultrashort pulse lasers.
Conflict of Interest
The authors declare no conflict of interest.
Open Research
Data Availability Statement
The data that support the findings of this study are available from the corresponding author upon reasonable request.
Supporting Information
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Please note: The publisher is not responsible for the content or functionality of any supporting information supplied by the authors. Any queries (other than missing content) should be directed to the corresponding author for the article.
References
- 1M. Rowley, P. H. Hanzard, A. Cutrona, H. Bao, S. T. Chu, B. E. Little, R. Morandotti, D. J. Moss, G. L. Oppo, J. S. T. Gongora, M. Peccianti, A. Pasquazi, Nature 2022, 608, 303.
- 2T. J. Kippenberg, A. L. Gaeta, M. Lipson, M. L. Gorodetsky, Science 2018, 361, eaan8083.
- 3P. Grelu, N. Akhmediev, Nat. Photonics 2012, 6, 84.
- 4P. Cheiney, C. R. Cabrera, J. Sanz, B. Naylor, L. Tanzi, L. Tarruell, Phys. Rev. Lett. 2018, 120, 135301.
- 5S. W. Englander, N. R. Kallenbacht, A. J. Heeger, J. A. Krumhansl, S. Litwin, Proc. Natl. Acad. Sci. USA. 1980, 77, 7222.
- 6D. Edelberg, H. Kumar, V. Shenoy, H. Ochoa, A. N. Pasupathy, Nat. Phys. 2020, 16, 1097.
- 7A. C. Balazs, I. R. Epstein, Science 2009, 325, 1632.
- 8P. T. Macklem, J. Appl. Physiol. 2008, 104, 1844.
- 9L. Tesfatsion, Proc. Natl. Acad. Sci. USA. 2002, 99, 7191.
- 10B. Suki, J. H. T. Bates, U. Frey, Complexity and Emergent Phenomena 2011, 1, 955.
- 11S. Liu, Y. Cui, E. Karimi, B. A. Malomed, Optica 2022, 9, 240.
- 12S. Hamdi, A. Coillet, B. Cluzel, P. Grelu, P. Colman, Phys. Rev. Lett. 2022, 128, 213902.
- 13J. Peng, H. Zeng, Laser Photonics Rev. 2018, 12, 1800009.
- 14J. P. Lourdesamy, A. F. J. Runge, T. J. Alexander, D. D. Hudson, A. Blanco-Redondo, C. M.de Sterke, Nat. Phys. 2021, 18, 59.
- 15Y. Du, C. Zeng, Z. He, Q. Gao, D. Mao, J. Zhao, Phys. Rev. A 2021, 104, 023503.
- 16O. Melchert, S. Willms, S. Bose, A. Yulin, B. Roth, F. Mitschke, U. Morgner, I. Babushkin, A. Demircan, Phys. Rev. Lett. 2019, 123, 243905.
- 17D. Mao, H. Wang, H. Zhang, C. Zeng, Y. Du, Z. He, Z. Sun, J. Zhao, Nat. Commun. 2021, 12, 6712.
- 18Y. Ding, X. Xiao, K. Liu, S. Fan, X. Zhang, C. Yang, Phys. Rev. Lett. 2021, 126, 093901.
- 19L. G. Wright, P. Sidorenko, H. Pourbeyram, Z. M. Ziegler, A. Isichenko, B. A. Malomed, C. R. Menyuk, D. N. Christodoulides, F. W. Wise, Nat. Phys. 2020, 16, 565.
- 20U. Teğin, E. Kakkava, B. Rahmani, D. Psaltis, C. Moser, Optica 2019, 6, 1412.
- 21S. T. Cundiff, B. C. Collings, N. N. Akhmediev, J. M. Soto-Crespo, K. Bergman, W. H. Knox, Phys. Rev. Lett. 1999, 82, 3988.
- 22S. V. Sergeyev, C. Mou, E. G. Turitsyna, A. Rozhin, S. K. Turitsyn, K. Blow, Light: Sci. Appl. 2014, 3, e131.
- 23K. Krupa, K. Nithyanandan, P. Grelu, Optica 2017, 4, 1239.
- 24D. Y. Tang, H. Zhang, L. M. Zhao, X. Wu, Phys. Rev. Lett. 2008, 101, 153904.
- 25M. N. Islam, C. D. Poole, J. P. Gordon, Opt. Lett. 1989, 14, 1011.
- 26L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, H. Y. Tam, Opt. Lett. 2009, 34, 3059.
- 27S. V. Sergeyev, Opt. Lett. 2016, 41, 4700.
- 28J. P. Gordon, Opt. Lett. 1983, 8, 596.
- 29B. A. Malomed, Phys. Rev. A 1991, 44, 6954.
- 30A. Zaviyalov, P. Grelu, F. Lederer, Opt. Lett. 2012, 37, 175.
- 31D. Turaev, A. G. Vladimirov, S. Zelik, Phys. Rev. Lett. 2012, 108, 263906.
- 32M. Pang, W. He, X. Jiang, P. S. J. Russell, Nat. Photonics 2016, 10, 454.
- 33S. Zhang, T. Bi, G. N. Ghalanos, N. P. Moroney, L. Del Bino, P. Del'Haye, Phys. Rev. Lett. 2022, 128, 033901.
- 34C. R. Menyuk, Opt. Lett. 1987, 12, 614.
- 35C. R. Menyuk, J. Opt. Soc. Am. B 1988, 5, 392.
- 36D. Mihalache, D. Mazilu, L. Torner, Phys. Rev. Lett. 1998, 81, 4353.
- 37D. Rand, I. Glesk, C. S. Bres, D. A. Nolan, X. Chen, J. Koh, J. W. Fleischer, K. Steiglitz, P. R. Prucnal, Phys. Rev. Lett. 2007, 98, 053902.
- 38J. W. Haus, G. Shaulov, Opt. Lett. 1999, 24, 376.
- 39D. Mao, Z. He, Y. Zhang, Y. Du, C. Zeng, L. Yun, Z. Luo, T. Li, Z. Sun, J. Zhao, Light: Sci. Appl. 2022, 11, 25.
- 40C. Mou, S. Sergeyev, A. Rozhin, S. Turistyn, Opt. Lett. 2011, 36, 3831.
- 41H. Zhang, D. Y. Tang, L. M. Zhao, N. Xiang, Opt. Express 2008, 16, 12618.
- 42L. M. Zhao, D. Y. Tang, X. Wu, H. Zhang, Opt. Lett. 2010, 35, 1902.
- 43G. Shao, Y. Song, J. Guo, L. Zhao, D. Shen, D. Tang, Opt. Express 2015, 23, 28430.
- 44M. Liu, A. P. Luo, Z. C. Luo, W. C. Xu, Opt. Lett. 2017, 42, 330.
- 45A. E. Akosman, J. Zeng, P. D. Samolis, M. Y. Sander, IEEE J. Sel. Top. Quantum Electron. 2017, 24, 1101107.
- 46H. Zhang, D. Y. Tang, L. M. Zhao, H. Y. Tam, Opt. Lett. 2008, 33, 2317.
- 47Y. Cui, Y. Zhang, Y. Song, L. Huang, L. Tong, J. Qiu, X. Liu, Laser Photonics Rev. 2021, 15, 2000216.
- 48Y. Luo, L. Li, D. Liu, Q. Sun, Z. Wu, Z. Xu, D. Tang, S. Fu, L. Zhao, Opt. Express 2016, 24, 18718.
- 49Y. Chen, M. Wu, P. Tang, S. Chen, J. Du, G. Jiang, Y. Li, C. Zhao, H. Zhang, S. Wen, Laser Phys. Lett. 2014, 11, 055101.
- 50H. Zhang, D. Tang, L. Zhao, Q. Bao, K. P. Loh, Opt. Commun. 2010, 283, 3334.
- 51H. Zhang, D. Y. Tang, L. M. Zhao, R. J. Knize, Opt. Express 2010, 18, 4428.
- 52J. Meier, J. Hudock, D. Christodoulides, G. Stegeman, Y. Silberberg, R. Morandotti, J. S. Aitchison, Phys. Rev. Lett. 2003, 91, 143907.
- 53C. E. Rüter, K. G. Makris, R. El-Ganainy, D. N. Christodoulides, M. Segev, D. Kip, Nat. Phys. 2010, 6, 192.
- 54V. V. Konotop, J. Yang, D. A. Zezyulin, Rev. Mod. Phys. 2016, 88, 035002.
- 55N. Akhmediev, A. Ankiewicz, Phys. Rev. Lett. 1993, 70, 2395.
- 56J. M. Soto-Crespo, N. Akhmediev, Phys. Rev. E 1993, 48, 4710.
- 57B. A. Malomed, Chaos 2007, 17, 037117.
- 58E. M. Wright, G. I. Stegeman, S. Wabnitz, Phys. Rev. A 1989, 40, 4455.
- 59Ó. B. Helgason, F. R. Arteaga-Sierra, Z. Ye, K. Twayana, P. A. Andrekson, M. Karlsson, J. Schröder, T.-C. Victor, Nat. Photonics 2021, 15, 305.
- 60A. Tikan, J. Riemensberger, K. Komagata, S. Hönl, M. Churaev, C. Skehan, H. Guo, R. N. Wang, J. Liu, P. Seidler, T. J. Kippenberg, Nat. Phys. 2021, 17, 604.
- 61A. Tikan, A. Tusnin, J. Riemensberger, M. Churaev, X. Ji, K. N. Komagata, R. N. Wang, J. Liu, T. J. Kippenberg, Sci. Adv. 2022, 8, eabm6982.
- 62X. Xue, X. Zheng, B. Zhou, Nat. Photonics 2019, 13, 616.
- 63G. Pu, L. Yi, L. Zhang, W. Hu, Optica 2019, 6, 362.
- 64N. Prakash, S.-W. Huang, B. Li, Optica 2022, 9, 717.
- 65J. Pupeikis, B. Willenberg, S. L. Camenzind, A. Benayad, P. Camy, C. R. Phillips, U. Keller, Optica 2022, 9, 713.
- 66G. Pu, L. Yi, L. Zhang, C. Luo, Z. Li, W. Hu, Light: Sci. Appl. 2020, 9, 1.
- 67J. M. Soto-Crespo, N. Akhmediev, A. Ankiewicz, Phys. Rev. Lett. 2000, 85, 2937.
- 68W. Chang, J. M. Soto-Crespo, P. Vouzas, N. Akhmediev, Phys. Rev. E 2015, 92, 022926.
- 69E. Lucas, M. Karpov, H. Guo, M. L. Gorodetsky, T. J. Kippenberg, Nat. Commun. 2017, 8, 736.
- 70Y. Du, Z. Xu, X. Shu, Opt. Lett. 2018, 43, 3602.
- 71J. Peng, S. Boscolo, Z. Zhao, H. Zeng, Sci. Adv. 2019, 5, eaax1110.
- 72X. Wu, Y. Zhang, J. Peng, S. Boscolo, C. Finot, H. Zeng, Nat. Commun. 2022, 13, 5784.
- 73D. Y. Tang, L. M. Zhao, B. Zhao, A. Q. Liu, Phys. Rev. A 2005, 72, 043816.
- 74J. M. Soto-Crespo, N. Devine, N. Akhmediev, Phys. Rev. Lett. 2016, 116, 103901.
- 75M. Narhi, B. Wetzel, C. Billet, S. Toenger, T. Sylvestre, J. M. Merolla, R. Morandotti, F. Dias, G. Genty, J. M. Dudley, Nat. Commun. 2016, 7, 13675.
- 76K. Goda, B. Jalali, Nat. Photonics 2013, 7, 102.
- 77D. Mao, Q. Gao, J. Li, Z. He, Y. Du, C. Zeng, Z. Sun, J. Zhao, Phys. Rev. Appl. 2022, 18, 044044.
- 78Y. Du, Z. He, C. Zeng, D. Mao, J. Zhao, Opt. Lett. 2022, 47, 6245.
- 79G. P. Agrawal, Nonlinear Fiber Optics, Springer, Berlin, Heidelberg2000.
- 80Y. Song, Z. Wang, C. Wang, K. Panajotov, H. Zhang, Adv. Photonics 2020, 2, 024001.
- 81H. Kbashi, S. V. Sergeyev, C. Mou, A. M. Garcia, M. A. Araimi, A. Rozhin, S. Kolpakov, V. Kalashnikov, Ann. Phys. 2018, 530, 1700362.
- 82P. Wysocki, V. Mazurczyk, IEEE J. Light. Technol. 1996, 14, 572.
- 83M. Kowalczyk, Ł. Sterczewski, X. Zhang, V. Petrov, Z. Wang, J. Sotor, Laser Photonics Rev. 2021, 15, 2000441.
- 84J. Zou, C. Dong, H. Wang, T. Du, Z. Luo, Light: Sci. Appl. 2020, 9, 61.
- 85S. Duval, M. Bernier, V. Fortin, J. Genest, M. Piché, R. Vallée, Optica 2015, 2, 623.
- 86W. He, M. Pang, D. H. Yeh, J. Huang, C. R. Menyuk, P. S. J. Russell, Nat. Commun. 2019, 10, 5756.
- 87Y. Du, Q. Gao, J. Li, C. Zeng, D. Mao, J. Zhao, Opt. Lett. 2021, 46, 5599.
- 88J. Kim, Y. Song, Adv. Opt. Photonics 2016, 8, 465.