IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v198y2025ics0960077925005843.html

Dark gap quantum droplets in linear lattices

Author

Listed:
  • Chen, Junbo
  • Belić, Milivoj R.
  • Mihalache, Dumitru
  • Shi, Jincheng
  • Deng, Dingnan
  • Zhu, Xing
  • Zeng, Liangwei

Abstract

We study the existence of dark gap quantum droplet (DGQD) families in the nonlinear Schrödinger equation with linear lattices, including both individual DGQDs and their clusters. Two types of linear lattices are studied in this work, monochromatic and bichromatic. The backgrounds of these families in bichromatic lattices differ from those in monochromatic lattices, being composed of two lattices instead of one. The stability of individual DGQDs is established by the linear stability analysis, and verified by direct numerical simulations. The stability domains of DGQD clusters are significantly narrower than those of individual DGQDs in monochromatic linear lattices. In contrast, for bichromatic linear lattices, the stability domains of DGQD clusters are nearly identical to those of individual DGQDs. Finally, we identify the domains of strongly and weakly unstable oscillation regimes of DGQD clusters, based on the values of the linear instability growth rate.

Suggested Citation

  • Chen, Junbo & Belić, Milivoj R. & Mihalache, Dumitru & Shi, Jincheng & Deng, Dingnan & Zhu, Xing & Zeng, Liangwei, 2025. "Dark gap quantum droplets in linear lattices," Chaos, Solitons & Fractals, Elsevier, vol. 198(C).
    • Handle: RePEc:eee:chsofr:v:198:y:2025:i:c:s0960077925005843
    DOI: 10.1016/j.chaos.2025.116571
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077925005843
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2025.116571?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

    for a different version of it.

    References listed on IDEAS

    as
    1. Zhu, Xing & Xiang, Dan & Zeng, Liangwei, 2023. "Fundamental and multipole gap solitons in spin-orbit-coupled Bose-Einstein condensates with parity-time-symmetric Zeeman lattices," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    2. Zeng, Liangwei & Zhu, Yongle & Malomed, Boris A. & Mihalache, Dumitru & Wang, Qing & Long, Hu & Cai, Yi & Lu, Xiaowei & Li, Jingzhen, 2022. "Quadratic fractional solitons," Chaos, Solitons & Fractals, Elsevier, vol. 154(C).
    3. Zeng, Liangwei & Belić, Milivoj R. & Mihalache, Dumitru & Zhu, Xing, 2024. "Elliptical and rectangular solitons in media with competing cubic–quintic nonlinearities," Chaos, Solitons & Fractals, Elsevier, vol. 181(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. Kartashov, Yaroslav V. & Zezyulin, Dmitry A., 2024. "Enhanced mobility of quantum droplets in periodic lattices," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    6. 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).
    7. Matthias Schmitt & Matthias Wenzel & Fabian Böttcher & Igor Ferrier-Barbut & Tilman Pfau, 2016. "Self-bound droplets of a dilute magnetic quantum liquid," Nature, Nature, vol. 539(7628), pages 259-262, November.
    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. Kartashov, Yaroslav V. & Zezyulin, Dmitry A., 2025. "Double-flattop quantum droplets in low-dimensional Bose–Bose mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    2. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A., 2024. "Three-dimensional vortex and multipole quantum droplets in a toroidal potential," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    3. Zhou, Zheng & Chen, Tianyou & Zhu, Bo & Zhong, Honghua, 2025. "Higher-charged binary vortex quantum droplets in a ring potential," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    4. 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).
    5. Huang, Hao & Wang, Hongcheng & Lim, Chin Seong & Wong, Kok-Cheong, 2025. "Anisotropic dipolar vortex quantum droplets in an annular potential," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    6. Fan, Zhuo & Wang, Linjia & Wu, Tong & Wu, Di & Hu, Xia & Peng, Wei & Xu, Siliu, 2025. "Vortex gap solitons in dipolar Bose–Einstein condensates with cubic–quintic nonlinearity and parity-time-symmetric optical lattice," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    7. Sanjay, S. & Veni, S. Saravana & Malomed, Boris A., 2025. "Vortex droplets and lattice patterns in two-dimensional traps: A photonic spin–orbit-coupling perspective," Chaos, Solitons & Fractals, Elsevier, vol. 197(C).
    8. Dong, Liangwei & Liu, Dongshuai & Malomed, Boris A., 2026. "Robust quantum-droplet necklace clusters in three dimensions," Chaos, Solitons & Fractals, Elsevier, vol. 203(C).
    9. Paredes, Angel & Salgueiro, José R. & Michinel, Humberto, 2024. "Variational model for vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 186(C).
    10. 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).
    11. Xia, Wei-qi & Zheng, Xiao-ting & Chen, Xiao-wei & Chen, Gui-hua, 2025. "Static and dynamical properties of quadrupolar quantum droplets in quasi-2D condensates," Chaos, Solitons & Fractals, Elsevier, vol. 201(P3).
    12. Li, Jiawei & Shi, Jincheng & Pang, Xiaoyan & Belić, Milivoj R. & Mihalache, Dumitru & Qin, Wenqiang & Xu, Qinfang & Zhu, Xing & Zeng, Liangwei, 2026. "Spontaneous symmetry and antisymmetry breaking of solitons in quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    13. Hu, Zhenglong & Mihalache, Dumitru & Belić, Milivoj R. & Wang, Qing, 2025. "Site-controlled gain-loss managed solitons in the nonlinear Schrӧdinger equation with complex potential wells," Chaos, Solitons & Fractals, Elsevier, vol. 201(P1).
    14. Wu, Xi-Hu & Gao, Yi-Tian, 2025. "Multi-breather asymptotics for a nonlinear Schrödinger equation arising in oceanography, plasma physics, Bose–Einstein condensation and fiber optics," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 235(C), pages 85-94.
    15. Dong, Liangwei & Fan, Mingjing & Malomed, Boris A. & Kartashov, Yaroslav V., 2026. "Hopfions in the Lee–Huang–Yang superfluids," Chaos, Solitons & Fractals, Elsevier, vol. 202(P2).
    16. Kartashov, Yaroslav V. & Zezyulin, Dmitry A., 2024. "Enhanced mobility of quantum droplets in periodic lattices," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    17. 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).
    18. Zhao, Fei-yan & Yan, Zi-teng & Cai, Xiao-yan & Li, Chao-long & Chen, Gui-lian & He, He-xiang & Liu, Bin & Li, Yong-yao, 2021. "Discrete quantum droplets in one-dimensional optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    19. Kusdiantara, R. & Susanto, H. & Adriano, F.T. & Karjanto, N., 2024. "Analysis of multistability in discrete quantum droplets and bubbles," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    20. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    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:198:y:2025:i:c:s0960077925005843. 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.