IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v162y2022ics0960077922006919.html
   My bibliography  Save this article

Discrete vortex quantum droplets

Author

Listed:
  • Zhao, Zi-bin
  • Chen, Gui-hua
  • Liu, Bin
  • Li, Yong-yao

Abstract

We analyze the existence and characteristics of discrete vortex quantum droplets with intrinsic topological charges S of up to 5 in two-component Bose-Einstein condensates in a deep two-dimensional (2D) optical lattice. The 2D discrete Gross-Pitaevskii equation with a Lee-Huang-Yang (LHY) correction term is used to model the condensate, which incorporates local contact interactions and LHY corrections induced by quantum fluctuations. The characteristics of vortical modes with S = 1 and S = 2 are studied in detail. The chemical potential μ and peak density ρmax of the modes are calculated as functions of the norm N. The μ−N curves of on-site-centered and off-site-centered modes with the same number of lattice sites are nearly identical. We make an analysis and reach a conclusion consistent with these simulation results. This system contains a nontrivial type of vortex mode known as the mixed-vortex mode, in which the two components have the same density pattern and different topological charges. To the best of our knowledge, we are the first to report vortex modes with isomorphic density patterns and heteromorphic vortices in the field of quantum droplets.

Suggested Citation

  • Zhao, Zi-bin & Chen, Gui-hua & Liu, Bin & Li, Yong-yao, 2022. "Discrete vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    • Handle: RePEc:eee:chsofr:v:162:y:2022:i:c:s0960077922006919
    DOI: 10.1016/j.chaos.2022.112481
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077922006919
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2022.112481?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. 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).
    2. Holger Kadau & Matthias Schmitt & Matthias Wenzel & Clarissa Wink & Thomas Maier & Igor Ferrier-Barbut & Tilman Pfau, 2016. "Observing the Rosensweig instability of a quantum ferrofluid," Nature, Nature, vol. 530(7589), pages 194-197, February.
    3. Maitreyi Jayaseelan & Sreenath K. Manikandan & Andrew N. Jordan & Nicholas P. Bigelow, 2021. "Quantum measurement arrow of time and fluctuation relations for measuring spin of ultracold atoms," Nature Communications, Nature, vol. 12(1), pages 1-7, December.
    4. Huang, Hao & Wang, Hongcheng & Chen, Manna & Lim, Chin Seong & Wong, Kok-Cheong, 2022. "Binary-vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Zhou, Zheng & Shi, Yimin & Tang, Shiqing & Deng, Haiming & Wang, Haibin & He, Xiongying & Zhong, Honghua, 2021. "Controllable dissipative quantum droplets in one-dimensional optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    6. Elizabeth A. Donley & Neil R. Claussen & Simon L. Cornish & Jacob L. Roberts & Eric A. Cornell & Carl E. Wieman, 2001. "Dynamics of collapsing and exploding Bose–Einstein condensates," Nature, Nature, vol. 412(6844), pages 295-299, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).
    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. Li, Jun-Jie & Zhang, Hui-Cong, 2024. "Interaction-produced vector vortex chaoticons in nonlocal nonlinear media," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    4. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(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. 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).

    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. 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).
    2. Huang, Hao & Wang, Hongcheng & Chen, Guihua & Chen, Manna & Lim, Chin Seong & Wong, Kok-Cheong, 2023. "Stable quantum droplets with higher-order vortex in radial lattices," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    3. 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).
    4. Huang, Hao & Wang, Hongcheng & Chen, Manna & Lim, Chin Seong & Wong, Kok-Cheong, 2022. "Binary-vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).
    5. Li, Jun-Jie & Zhang, Hui-Cong, 2023. "Stability and adaptive evolution of higher-order vector vortex solitons in thermally nonlinear media with tunable transverse size," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Max Althön & Markus Exner & Richard Blättner & Herwig Ott, 2023. "Exploring the vibrational series of pure trilobite Rydberg molecules," Nature Communications, Nature, vol. 14(1), pages 1-7, December.
    7. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    8. Jiang, Xunda & Zeng, Yue & Ji, Yikai & Liu, Bin & Qin, Xizhou & Li, Yongyao, 2022. "Vortex formation and quench dynamics of rotating quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    9. 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).
    10. Shi, Zeyun & Badshah, Fazal & Qin, Lu, 2023. "Two-dimensional lattice soliton and pattern formation in a cold Rydberg atomic gas with nonlocal self-defocusing Kerr nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 166(C).
    11. Kartashov, Yaroslav V. & Zezyulin, Dmitry A., 2024. "Enhanced mobility of quantum droplets in periodic lattices," Chaos, Solitons & Fractals, Elsevier, vol. 182(C).
    12. Zhou, Zheng & Shi, Yimin & Tang, Shiqing & Deng, Haiming & Wang, Haibin & He, Xiongying & Zhong, Honghua, 2021. "Controllable dissipative quantum droplets in one-dimensional optical lattices," Chaos, Solitons & Fractals, Elsevier, vol. 150(C).
    13. Qi, Wei & Huang, Rui & Li, Haifeng & Dong, Liangwei, 2024. "Modulational instability of a harmonically trapped quantum droplet," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    14. J. Sánchez-Baena & C. Politi & F. Maucher & F. Ferlaino & T. Pohl, 2023. "Heating a dipolar quantum fluid into a solid," Nature Communications, Nature, vol. 14(1), pages 1-6, 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:162:y:2022:i:c:s0960077922006919. 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.