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Stable quantum droplets with higher-order vortex in radial lattices

Author

Listed:
  • Huang, Hao
  • Wang, Hongcheng
  • Chen, Guihua
  • Chen, Manna
  • Lim, Chin Seong
  • Wong, Kok-Cheong

Abstract

The existence and stability of quantum droplets are studied in ultracold atoms in Bose–Einstein condensates with a radial period lattice under the Lee–Huang–Yang correction. Both stable bell-shaped and ring-shaped zero-vorticity quantum droplets are found in this radial lattice. It is found that the existence curves of the zero-vorticity quantum droplets could violate the V–K criterion, which is a necessary condition to form stable solitons. Under the effect of the radial lattice potential, vortex quantum droplets can be still stable when embedded vorticity S is up to S=10. The vortex quantum droplets can be trapped at the first as well as at the second circular trough of the radial lattice. The stability areas of the vortex quantum droplets with different embedded vorticity S are identified by the long time evolution. The chemical potential of the vortex quantum droplets also violates the V–K criterion. The peak value and effective area of the vortex quantum droplets are independent of the vorticity S, while it only depends on the total norm and the potential of the radial lattice. The double ring quantum droplets, with different embedded vorticity in their inner and outer ring, are also discussed.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:168:y:2023:i:c:s0960077923000383
    DOI: 10.1016/j.chaos.2023.113137
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    References listed on IDEAS

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    1. 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).
    2. 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).
    3. Lauriane Chomaz & Laura Corman & Tom Bienaimé & Rémi Desbuquois & Christof Weitenberg & Sylvain Nascimbène & Jérôme Beugnon & Jean Dalibard, 2015. "Emergence of coherence via transverse condensation in a uniform quasi-two-dimensional Bose gas," Nature Communications, Nature, vol. 6(1), pages 1-10, May.
    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).
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    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, 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).

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