IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v171y2023ics0960077923002825.html
   My bibliography  Save this article

Stable fundamental two-dimensional solitons in media with competing nonlocal interactions

Author

Listed:
  • Jung, Pawel S.
  • Pyrialakos, Georgios G.
  • Pilka, Jacek
  • Kwasny, Michal
  • Laudyn, Ula
  • Trippenbach, Marek
  • Christodoulides, Demetrios N.
  • Krolikowski, Wieslaw

Abstract

Soliton attract a great deal of attention across various disciplines, from optics to fluid mechanics, cosmology, as well as particle and condensed matter physics, due to their unique characteristics and applications. Although various soliton solutions are known, it is rare to find stable fundamental bright solitons with complex amplitude structures in two transverse dimensions. Here we show that the interplay between nonlocal nonlinear light–matter attraction and repulsion can lead to novel types of solutions in two spatial dimensions. We find unusual new fundamental soliton solutions exhibiting complex intensity but constant phase profiles with rectangular and cylindrical symmetries. We also employ an analytically tractable novel model for a complex linear potential whose two-peak ground states mimic two-peak solitons.

Suggested Citation

  • Jung, Pawel S. & Pyrialakos, Georgios G. & Pilka, Jacek & Kwasny, Michal & Laudyn, Ula & Trippenbach, Marek & Christodoulides, Demetrios N. & Krolikowski, Wieslaw, 2023. "Stable fundamental two-dimensional solitons in media with competing nonlocal interactions," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    • Handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923002825
    DOI: 10.1016/j.chaos.2023.113381
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077923002825
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2023.113381?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Daryl T. Spencer & Tara Drake & Travis C. Briles & Jordan Stone & Laura C. Sinclair & Connor Fredrick & Qing Li & Daron Westly & B. Robert Ilic & Aaron Bluestone & Nicolas Volet & Tin Komljenovic & Li, 2018. "An optical-frequency synthesizer using integrated photonics," Nature, Nature, vol. 557(7703), pages 81-85, May.
    2. Kevin E. Strecker & Guthrie B. Partridge & Andrew G. Truscott & Randall G. Hulet, 2002. "Formation and propagation of matter-wave soliton trains," Nature, Nature, vol. 417(6885), pages 150-153, May.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Shi, Zeyun & Badshah, Fazal & Qin, Lu & Zhou, Yuan & Huang, Haibo & Zhang, Yong-Chang, 2023. "Spatially modulated control of pattern formation in a general nonlocal nonlinear system," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Mingming Nie & Kunpeng Jia & Yijun Xie & Shining Zhu & Zhenda Xie & Shu-Wei Huang, 2022. "Synthesized spatiotemporal mode-locking and photonic flywheel in multimode mesoresonators," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    3. Wenting Wang & Ping-Keng Lu & Abhinav Kumar Vinod & Deniz Turan & James F. McMillan & Hao Liu & Mingbin Yu & Dim-Lee Kwong & Mona Jarrahi & Chee Wei Wong, 2022. "Coherent terahertz radiation with 2.8-octave tunability through chip-scale photomixed microresonator optical parametric oscillation," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    4. Seyed Danial Hashemi & Sunil Mittal, 2024. "Floquet topological dissipative Kerr solitons and incommensurate frequency combs," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    5. Dong-Chel Shin & Byung Soo Kim & Heesuk Jang & Young-Jin Kim & Seung-Woo Kim, 2023. "Photonic comb-rooted synthesis of ultra-stable terahertz frequencies," Nature Communications, Nature, vol. 14(1), pages 1-10, December.
    6. Chengying Bao & Zhiquan Yuan & Lue Wu & Myoung-Gyun Suh & Heming Wang & Qiang Lin & Kerry J. Vahala, 2021. "Architecture for microcomb-based GHz-mid-infrared dual-comb spectroscopy," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    7. Liu, Xiuye & Zeng, Jianhua, 2022. "Overcoming the snaking instability and nucleation of dark solitons in nonlinear Kerr media by spatially inhomogeneous defocusing nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    8. Eric Cereceda-López & Alexander P. Antonov & Artem Ryabov & Philipp Maass & Pietro Tierno, 2023. "Overcrowding induces fast colloidal solitons in a slowly rotating potential landscape," Nature Communications, Nature, vol. 14(1), pages 1-8, December.
    9. Baheej Bathish & Raanan Gad & Fan Cheng & Kristoffer Karlsson & Ramgopal Madugani & Mark Douvidzon & Síle Nic Chormaic & Tal Carmon, 2023. "Absorption-induced transmission in plasma microphotonics," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    10. Malomed, Boris A. & Nascimento, V.A. & Adhikari, Sadhan K., 2009. "Gap solitons in fermion superfluids," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(4), pages 648-659.
    11. Triki, Houria & Choudhuri, Amitava & Zhou, Qin & Biswas, Anjan & Alshomrani, Ali Saleh, 2020. "Nonautonomous matter wave bright solitons in a quasi-1D Bose-Einstein condensate system with contact repulsion and dipole-dipole attraction," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    12. Robert M. Gray & Mingchen Liu & Selina Zhou & Arkadev Roy & Luis Ledezma & Alireza Marandi, 2024. "Quadratic-soliton-enhanced mid-IR molecular sensing," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    13. Chao Xiang & Joel Guo & Warren Jin & Lue Wu & Jonathan Peters & Weiqiang Xie & Lin Chang & Boqiang Shen & Heming Wang & Qi-Fan Yang & David Kinghorn & Mario Paniccia & Kerry J. Vahala & Paul A. Morton, 2021. "High-performance lasers for fully integrated silicon nitride photonics," Nature Communications, Nature, vol. 12(1), pages 1-8, December.
    14. Xuguang Zhang & Zixuan Zhou & Yijun Guo & Minxue Zhuang & Warren Jin & Bitao Shen & Yujun Chen & Jiahui Huang & Zihan Tao & Ming Jin & Ruixuan Chen & Zhangfeng Ge & Zhou Fang & Ning Zhang & Yadong Liu, 2024. "High-coherence parallelization in integrated photonics," Nature Communications, Nature, vol. 15(1), pages 1-9, December.
    15. Jingwei Ling & Zhengdong Gao & Shixin Xue & Qili Hu & Mingxiao Li & Kaibo Zhang & Usman A. Javid & Raymond Lopez-Rios & Jeremy Staffa & Qiang Lin, 2024. "Electrically empowered microcomb laser," Nature Communications, Nature, vol. 15(1), pages 1-8, December.
    16. Miles H. Anderson & Wenle Weng & Grigory Lihachev & Alexey Tikan & Junqiu Liu & Tobias J. Kippenberg, 2022. "Zero dispersion Kerr solitons in optical microresonators," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    17. Liu, Fei-Yan & Triki, Houria & Zhou, Qin, 2024. "Oscillatory nondegenerate solitons in spin–orbit coupled spin-1/2 Bose–Einstein condensates with weak Raman coupling," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    18. Alexandre Heintz & Bouraoui Ilahi & Alexandre Pofelski & Gianluigi Botton & Gilles Patriarche & Andrea Barzaghi & Simon Fafard & Richard Arès & Giovanni Isella & Abderraouf Boucherif, 2022. "Defect free strain relaxation of microcrystals on mesoporous patterned silicon," Nature Communications, Nature, vol. 13(1), pages 1-9, December.
    19. Su-Peng Yu & Erwan Lucas & Jizhao Zang & Scott B. Papp, 2022. "A continuum of bright and dark-pulse states in a photonic-crystal resonator," Nature Communications, Nature, vol. 13(1), pages 1-10, December.
    20. Chenghao Lao & Xing Jin & Lin Chang & Heming Wang & Zhe Lv & Weiqiang Xie & Haowen Shu & Xingjun Wang & John E. Bowers & Qi-Fan Yang, 2023. "Quantum decoherence of dark pulses in optical microresonators," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:chsofr:v:171:y:2023:i:c:s0960077923002825. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.