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

Yaroslav V. Kartashov and Dmitry A. Zezyulin

Chaos, Solitons & Fractals, 2025, vol. 190, issue C

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.

Keywords: Bose–Bose mixtures; Lee–Huang–Yang corrections; Solitary waves (search for similar items in EconPapers)
Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:190:y:2025:i:c:s0960077924013134

DOI: 10.1016/j.chaos.2024.115761

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