IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v180y2024ics0960077924001097.html
   My bibliography  Save this article

Three-dimensional Bose–Einstein gap solitons in optical lattices with fractional diffraction

Author

Listed:
  • Chen, Zhiming
  • Liu, Xiuye
  • Xie, Hongqiang
  • Zeng, Jianhua

Abstract

Compared with low-dimensional solitons that are widely studied in various realizable nonlinear physical systems, the properties and dynamics of three-dimensional solitons and vortices have not been well disclosed yet. Using numerical simulations and theoretical analysis, we here address the existence, structural property, and dynamics of three-dimensional gap solitons and vortices (with topological charge s=1) of Bose–Einstein condensates moving by Lévy flights (characterized by fractional diffraction operators, Lévy index 1<α≤2) in optical lattices. We stress that previously the localized modes have only been revealed in low-dimensional nonlinear fractional systems in one- and two-dimensional periodic potentials, our study presented here thus drives the associated nonlinear-wave research into three-dimensional configurations. The three-dimensional optical lattices exhibit a nontrivial wide band-gap feature, within which the matter-wave localized gap modes could be excited. The stability and instability regions of both three-dimensional gap modes are obtained via direct perturbed simulations, shedding light on multidimensional soliton physics in nonlinear fractional systems with periodic potentials.

Suggested Citation

  • Chen, Zhiming & Liu, Xiuye & Xie, Hongqiang & Zeng, Jianhua, 2024. "Three-dimensional Bose–Einstein gap solitons in optical lattices with fractional diffraction," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    • Handle: RePEc:eee:chsofr:v:180:y:2024:i:c:s0960077924001097
    DOI: 10.1016/j.chaos.2024.114558
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077924001097
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2024.114558?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. Chen, Zhiming & Wu, Zexing & Zeng, Jianhua, 2023. "Light gap bullets in defocusing media with optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Bao, Y.Y. & Li, S.R. & Liu, Y.H. & Xu, T.F., 2022. "Gap solitons and nonlinear Bloch waves in fractional quantum coupler with periodic potential," Chaos, Solitons & Fractals, Elsevier, vol. 156(C).
    3. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(C).
    4. Chen, Junbo & Zeng, Jianhua, 2021. "Dark matter-wave gap solitons of Bose-Einstein condensates trapped in optical lattices with competing cubic-quintic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    5. Shilong Liu & Yingwen Zhang & Boris A. Malomed & Ebrahim Karimi, 2023. "Experimental realisations of the fractional Schrödinger equation in the temporal domain," Nature Communications, Nature, vol. 14(1), pages 1-9, December.
    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. Chen, Junbo & Mihalache, Dumitru & Belić, Milivoj R. & Gao, Xuzhen & Zhu, Danfeng & Deng, Dingnan & Qiu, Shaobin & Zhu, Xing & Zeng, Liangwei, 2024. "Composite solitons in spin–orbit-coupled Bose–Einstein condensates within optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    2. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Wang, Qing & Zhou, Liangliang & Zhu, Junying & He, Jun-Rong, 2024. "Multi-vortex beams in nonlinear media with harmonic potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Stable higher-order vortex quantum droplets in an annular potential," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    5. Li, S.R. & Bao, Y.Y. & Liu, Y.H. & Xu, T.F., 2022. "Bright solitons in fractional coupler with spatially periodical modulated nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    6. Kudryashov, Nikolay A. & Kutukov, Aleksandr A. & Biswas, Anjan & Zhou, Qin & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2023. "Optical solitons for the concatenation model: Power-law nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    7. Otajonov, Sherzod R. & Umarov, Bakhram A. & Abdullaev, Fatkhulla Kh., 2024. "Dynamics of quasi-one-dimensional quantum droplets in Bose–Bose mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    8. Signé, Eric Martial & Djazet, Alain & Megne, Laure Tiam & Djoko, Martin & Fewo, Serge I. & Kofané, Timoléon C., 2024. "Light beams of the (3+1)D complex Ginzburg–Landau equation induced by the interaction between the external potential and higher-order nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    9. Hanqing Zhao & Boris A. Malomed & Ivan I. Smalyukh, 2023. "Topological solitonic macromolecules," Nature Communications, Nature, vol. 14(1), pages 1-12, December.
    10. Xu, Tong-Zhen & Liu, Jin-Hao & Wang, Yue-Yue & Dai, Chao-Qing, 2024. "Vector multipole solitons of fractional-order coupled saturable nonlinear Schrödinger equation," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    11. Djazet, Alain & Fewo, Serge I. & Djoko, Martin & Felenou, E. Tchomgo & Kofané, Timoléon C., 2023. "Extension of the stability criterion for dissipative vector solitons of a laser coupled two-dimensional Ginzburg–Landau Equation generated from vector asymmetric inputs," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
    12. Wang, Qing & Zhu, Junying & Wang, Jun & Yu, Haiyan & Hu, Beibei, 2024. "Controllable trajectory and shape of Hermite-Gaussian soliton clusters," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    13. Raviola, Lisandro A. & De Leo, Mariano F., 2024. "Performance of affine-splitting pseudo-spectral methods for fractional complex Ginzburg-Landau equations," Applied Mathematics and Computation, Elsevier, vol. 466(C).
    14. He, Xueqing & Zhai, Yuanbo & Cai, Qiang & Li, Rujiang & Li, Pengfei, 2024. "Symmetry breaking and dynamics of solitons in regular and parity-time-symmetric nonlinear coupler supported by fractional dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    15. Mahfoudi, Narimene & Bouguerra, Abdesselam & Triki, Houria & Azzouzi, Faiçal & Biswas, Anjan & Yıldırım, Yakup & Alshomrani, Ali Saleh, 2024. "Chirped self-similar optical solitons with cubic–quintic–septic–nonic form of self-phase modulation," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    16. Li, Chunyan & Konotop, Vladimir V. & Malomed, Boris A. & Kartashov, Yaroslav V., 2023. "Bound states in Bose-Einstein condensates with radially-periodic spin-orbit coupling," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    17. Xu, Yinshen & Li, Peixin & Mihalache, Dumitru & He, Jingsong, 2023. "Resonant collisions among multi-breathers in the Mel’nikov system," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    18. Al-Marzoug, S.M. & Baizakov, B.B. & Bahlouli, H., 2023. "Two-dimensional symbiotic solitons and quantum droplets in a quasi-one-dimensional optical lattice," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    19. Manoj Mishra & Kirti Meena & Divya Yadav & Brajraj Singh & Soumendu Jana, 2023. "The dynamics, stability and modulation instability of Gaussian beams in nonlocal nonlinear media," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-13, August.
    20. Díaz, P. & Molinares, H. & Pérez, L.M. & Laroze, D. & Bragard, J. & Malomed, B.A., 2024. "Stable semivortex gap solitons in a spin–orbit-coupled Fermi gas," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

    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:180:y:2024:i:c:s0960077924001097. 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.