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Double-flattop quantum droplets in low-dimensional Bose–Bose mixtures

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  • Kartashov, Yaroslav V.
  • Zezyulin, Dmitry A.

Abstract

We predict the existence of double-flattop quantum droplets in atomic Bose-Bose mixtures. Solutions of this type have two flattop regions of nearly uniform atomic density corresponding to a compressed central core surrounded by a rarefied layer. The birth of these double-flattop quantum droplets is analytically described using a perturbation theory, which in the leading order reduces the problem to the cubic nonlinear Schrödinger equation. Its properties are then used to predict the shape of double-flattop solutions and draw the conclusions about their stability. The analytical results apply to one- and multidimensional quantum droplets, provided that the energy density satisfies certain conditions. Using the numerical continuation from the asymptotic limit, we obtain the families of one- and two-dimensional double flattop quantum droplets and confirm the stability of the nodeless states of this type.

Suggested Citation

  • Kartashov, Yaroslav V. & Zezyulin, Dmitry A., 2025. "Double-flattop quantum droplets in low-dimensional Bose–Bose mixtures," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).
    • Handle: RePEc:eee:chsofr:v:190:y:2025:i:c:s0960077924013134
    DOI: 10.1016/j.chaos.2024.115761
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    References listed on IDEAS

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    1. 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).
    2. 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).
    3. 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).
    4. Paredes, Angel & Salgueiro, José R. & Michinel, Humberto, 2024. "Variational model for vortex quantum droplets," Chaos, Solitons & Fractals, Elsevier, vol. 186(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. Malomed, B.A., 2022. "Multidimensional dissipative solitons and solitary vortices," Chaos, Solitons & Fractals, Elsevier, vol. 163(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.
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