Stable quantum droplets with high-order vorticity in zero-order Bessel lattice

Abstract A theoretical framework is presented to investigate the stability of novel two-dimensional quantum droplets within zeroth-order Bessel lattices. The evolution of quantum droplets is studied by the Gross–Pitaevskii equations with Lee–Huang–Yang corrections. The circular groove structure inhe...

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Main Authors: Juncheng Hu, Hongcheng Wang, Guihua Chen, Qingmao Zhang
Format: Article
Language:English
Published: Nature Portfolio 2025-01-01
Series:Scientific Reports
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Online Access:https://doi.org/10.1038/s41598-025-87088-3
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author Juncheng Hu
Hongcheng Wang
Guihua Chen
Qingmao Zhang
author_facet Juncheng Hu
Hongcheng Wang
Guihua Chen
Qingmao Zhang
author_sort Juncheng Hu
collection DOAJ
description Abstract A theoretical framework is presented to investigate the stability of novel two-dimensional quantum droplets within zeroth-order Bessel lattices. The evolution of quantum droplets is studied by the Gross–Pitaevskii equations with Lee–Huang–Yang corrections. The circular groove structure inherent in the zeroth-order Bessel lattice potential facilitates the formation of distinct configurations, including stable zero-vorticity annular quantum droplets and annular quantum droplets featuring embedded vorticity. The stability region of these quantum droplets is achieved through direct numerical simulations. It is found that the lower limit of the stability range for quantum droplets under this optical lattice remains unaffected by vorticity. Conversely, the upper limit exhibits a discernible dependence on vorticity. Subsequently, the study extends to the construction of stable composite states, manifesting as nested concentric multiring structures. Numerical results not only validate the feasibility of nesting vortical quantum droplets under the influence of a zeroth-order Bessel lattice potential but also establish that the vorticity of the smaller droplet within nested vortical quantum droplets does not surpass half of that observed in the larger droplet. Moreover, a comparative analysis highlights the enhanced stability of nested quantum droplets with varying vorticities when contrasted with their counterparts possessing identical vorticities.
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spelling doaj-art-2f1206fc9933407d8621f864d52a0ea22025-02-02T12:18:52ZengNature PortfolioScientific Reports2045-23222025-01-0115111210.1038/s41598-025-87088-3Stable quantum droplets with high-order vorticity in zero-order Bessel latticeJuncheng Hu0Hongcheng Wang1Guihua Chen2Qingmao Zhang3School of Electrical Engineering and Intelligentization, Dongguan University of TechnologySchool of Electrical Engineering and Intelligentization, Dongguan University of TechnologySchool of Electrical Engineering and Intelligentization, Dongguan University of TechnologySchool of Information and Optoelectronic Science and Engineering, South China Normal UniversityAbstract A theoretical framework is presented to investigate the stability of novel two-dimensional quantum droplets within zeroth-order Bessel lattices. The evolution of quantum droplets is studied by the Gross–Pitaevskii equations with Lee–Huang–Yang corrections. The circular groove structure inherent in the zeroth-order Bessel lattice potential facilitates the formation of distinct configurations, including stable zero-vorticity annular quantum droplets and annular quantum droplets featuring embedded vorticity. The stability region of these quantum droplets is achieved through direct numerical simulations. It is found that the lower limit of the stability range for quantum droplets under this optical lattice remains unaffected by vorticity. Conversely, the upper limit exhibits a discernible dependence on vorticity. Subsequently, the study extends to the construction of stable composite states, manifesting as nested concentric multiring structures. Numerical results not only validate the feasibility of nesting vortical quantum droplets under the influence of a zeroth-order Bessel lattice potential but also establish that the vorticity of the smaller droplet within nested vortical quantum droplets does not surpass half of that observed in the larger droplet. Moreover, a comparative analysis highlights the enhanced stability of nested quantum droplets with varying vorticities when contrasted with their counterparts possessing identical vorticities.https://doi.org/10.1038/s41598-025-87088-3Bose–Einstein condensateQuantum dropletsZero-order Bessel lattice potential
spellingShingle Juncheng Hu
Hongcheng Wang
Guihua Chen
Qingmao Zhang
Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
Scientific Reports
Bose–Einstein condensate
Quantum droplets
Zero-order Bessel lattice potential
title Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
title_full Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
title_fullStr Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
title_full_unstemmed Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
title_short Stable quantum droplets with high-order vorticity in zero-order Bessel lattice
title_sort stable quantum droplets with high order vorticity in zero order bessel lattice
topic Bose–Einstein condensate
Quantum droplets
Zero-order Bessel lattice potential
url https://doi.org/10.1038/s41598-025-87088-3
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AT hongchengwang stablequantumdropletswithhighordervorticityinzeroorderbessellattice
AT guihuachen stablequantumdropletswithhighordervorticityinzeroorderbessellattice
AT qingmaozhang stablequantumdropletswithhighordervorticityinzeroorderbessellattice