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Stable higher-order vortex quantum droplets in an annular potential

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  • Dong, Liangwei
  • Fan, Mingjing
  • Malomed, Boris A.

Abstract

We address the existence, stability, and evolution of two-dimensional vortex quantum droplets (VQDs) in binary Bose–Einstein condensates trapped in a ring-shaped potential. The interplay of the Lee–Huang–Yang-amended nonlinearity and trapping potential supports two VQD branches, controlled by the radius, width and depth of the potential profile. While the lower-branch VQDs, bifurcating from the system’s linear modes, are completely unstable, the upper branch is fully stable for all values of the topological charge m and potential’s parameters. Up to m=12 (at least), stable VQDs obey the anti-Vakhitov–Kolokolov criterion. In the limit of an extremely tight radial trap, the modulational instability of the quasi-1D azimuthal VQDs is studied analytically. We thus put forward an effective way to produce stable VQDs with higher vorticity but a relatively small number of atoms, which is favorable for experimental realization.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077924000237
    DOI: 10.1016/j.chaos.2024.114472
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    References listed on IDEAS

    as
    1. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Higher-charged vortex solitons in harmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
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    7. 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).
    8. Zhao, Zi-bin & Chen, Gui-hua & Liu, Bin & Li, Yong-yao, 2022. "Discrete vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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