Stable higher-order vortex quantum droplets in an annular potential

Liangwei Dong, Mingjing Fan and Boris A. Malomed

Chaos, Solitons & Fractals, 2024, vol. 179, issue C

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.

Keywords: Vortex droplets; Quantum fluctuations; Stability (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077924000237

DOI: 10.1016/j.chaos.2024.114472

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