Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates

@misc{kong2026stable,
  title = {{Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates}},
  author = {Chao Kong and Jinqing Li and Guihua Chen and Guilong Li and Zhaopin Chen and Haiming Deng and Boris A. Malomed and Yongyao Li},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2608.07939},
  eprint = {2608.07939},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.07939},
}

TY  - UNPB
TI  - Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates
AU  - Chao Kong
AU  - Jinqing Li
AU  - Guihua Chen
AU  - Guilong Li
AU  - Zhaopin Chen
AU  - Haiming Deng
AU  - Boris A. Malomed
AU  - Yongyao Li
PY  - 2026
DA  - 2026/09/07
PB  - arXiv
DO  - 10.48550/arxiv.2608.07939
UR  - https://arxiv.org/abs/2608.07939
AB  - We elaborate a mechanism for the creation of stable three-dimensional (3D) solitons in spin-orbit-coupled (SOC) atomic-molecular Bose-Einstein condensate, modeled by the mean-field equations with the quadratic three-wave interaction, characterized by mismatch α. The planar (effectively two-dimensional) SOC is applied to the soliton's atomic component, structuring it as a mixed mode (MM) or semi-vortex (SV). The molecular component of the SV soliton is shaped as a 3D vortex, while the molecular component in the MM soliton is an MM too. The solitons exist up to a critical value of α. The system demonstrates a relatively large norm share of the vortex components, exceeding 50% of the total norm, which is an essential feature of SOC-supported solitons. This is scheme for realizing stable vortex solitons in free space with the quadratic nonlinearity.
ER  -