Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866913585848909824 |
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| author | Kartashov, Yaroslav V. Zezyulin, Dmitry A. |
| author_facet | Kartashov, Yaroslav V. Zezyulin, Dmitry A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_08578 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures Kartashov, Yaroslav V. Zezyulin, Dmitry A. Quantum Gases Pattern Formation and Solitons 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. |
| title | Double-flattop quantum droplets in low-dimensional Bose-Bose mixtures |
| topic | Quantum Gases Pattern Formation and Solitons |
| url | https://arxiv.org/abs/2411.08578 |