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Stable fractional vortex solitons in a ring potential

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  • Yan, Lifen
  • Zhang, Dong
  • Zhu, Haiyong

Abstract

This paper predicts the existence of stable fractional vortex soliton (FVS) featuring an opening gap in the intensity ring with fractional angular momentum in defocusing cubic nonlinear media with a ring-shaped potential. Linear stability analysis and direct simulations show that multi-order FVSs belonging to two branches are stable in their whole existence domain. The intensity pattern and angular momentum of FVS are variable with the propagating constant. Specifically, the phase distributions of the FVSs can exhibit on-axis singularity with the dislocation confined to the vortex ring, or undergo off-axis singularity transitions from the outside to the inside of the ring, resulting in clockwise or counterclockwise beam rotations in the presence of background light.

Suggested Citation

  • Yan, Lifen & Zhang, Dong & Zhu, Haiyong, 2025. "Stable fractional vortex solitons in a ring potential," Chaos, Solitons & Fractals, Elsevier, vol. 191(C).
    • Handle: RePEc:eee:chsofr:v:191:y:2025:i:c:s0960077924014103
    DOI: 10.1016/j.chaos.2024.115858
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    References listed on IDEAS

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    1. Liu, Dongshuai & Gao, Yanxia & Fan, Dianyuan & Zhang, Lifu, 2023. "Transformation of rotating dipole and vortex solitons in an anharmonic potential," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Li, Pengfei & Malomed, Boris A. & Mihalache, Dumitru, 2020. "Vortex solitons in fractional nonlinear Schrödinger equation with the cubic-quintic nonlinearity," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    3. Dong, Liangwei & Du, Zhijing & Ren, Zhijun, 2023. "Fractional angular momentum borne on rotating vortex solitons," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    4. Alois Mair & Alipasha Vaziri & Gregor Weihs & Anton Zeilinger, 2001. "Entanglement of the orbital angular momentum states of photons," Nature, Nature, vol. 412(6844), pages 313-316, July.
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