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<p>We introduce a two-dimensional mean-field model of a dipolar atomic-molecular Bose–Einstein condensate (BEC) under the action of a periodic optical-lattice (OL) potential. The system exhibits four species of stable vortex-soliton (VS) states, namely, ring-like, square-shaped and rhombus-shaped 4-core ones, and 8-core vortex solitons, all carrying topological charge 1. Control parameters of the system are the total numbers of particles, the strength of the atom-molecule interconversion, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\chi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>χ</mi> </math></EquationSource> </InlineEquation>, and the depth of the OL potential. They determine the spatial structure and stability of the VSs. The increase of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\chi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>χ</mi> </math></EquationSource> </InlineEquation> naturally makes the atomic-molecular BEC more mixed, while the increase of the total norm and/or strength of the dipole-dipole interaction suppresses the presence of the molecular component in the mixture.</p>

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Vortex solitons in dipolar atomic-molecular Bose–Einstein condensates with a periodic lattice potential

  • 期刊论文

  • 发表日期：

    2026年2月11日

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  • Linjia Wang,
  • Wei Peng,
  • Wan Liu,
  • Zhuo Fan,
  • Boris A. Malomed,
  • Yuan Zhao,
  • Siliu Xu

摘要

We introduce a two-dimensional mean-field model of a dipolar atomic-molecular Bose–Einstein condensate (BEC) under the action of a periodic optical-lattice (OL) potential. The system exhibits four species of stable vortex-soliton (VS) states, namely, ring-like, square-shaped and rhombus-shaped 4-core ones, and 8-core vortex solitons, all carrying topological charge 1. Control parameters of the system are the total numbers of particles, the strength of the atom-molecule interconversion, \(\chi \) χ , and the depth of the OL potential. They determine the spatial structure and stability of the VSs. The increase of \(\chi \) χ naturally makes the atomic-molecular BEC more mixed, while the increase of the total norm and/or strength of the dipole-dipole interaction suppresses the presence of the molecular component in the mixture.