Stable three-dimensional lattice solitons in spin-orbit-coupled Bose-Einstein condensates

@misc{zeng2026stable,
  title = {{Stable three-dimensional lattice solitons in spin-orbit-coupled Bose-Einstein condensates}},
  author = {Liangwei Zeng and Boris A. Malomed and Yaroslav V. Kartashov and Xing Zhu},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.17092},
  eprint = {2609.17092},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.17092},
}

TY  - UNPB
TI  - Stable three-dimensional lattice solitons in spin-orbit-coupled Bose-Einstein condensates
AU  - Liangwei Zeng
AU  - Boris A. Malomed
AU  - Yaroslav V. Kartashov
AU  - Xing Zhu
PY  - 2026
DA  - 2026/09/15
PB  - arXiv
DO  - 10.48550/arxiv.2609.17092
UR  - https://arxiv.org/abs/2609.17092
AB  - We address three-dimensional (3D) solitons maintained by spin-orbit coupling (SOC) in the binary self-interacting Bose-Einstein condensate (BEC) held in the 3D optical lattice (OL). The analysis reveals that the SOC-OL interplay results in the formation of stable full-vortex (FV) soli-tons, built as sets of four density peaks residing in neighboring wells of the lattice potential, with the superimposed global vortical phase, and site-centered semi-vortices (SV), in which the vorticity is present in only one component. The full-vortex solitons, with their specific phase textures, do not exist in a uniform BEC with SOC. Full-vortex and semi-vortex states in the binary self-attractive BEC are stable despite the possibility of the supercritical collapse in the 3D system. Such states also exist, as gap solitons, in the self-repulsive 3D system. In terms of the chemical potential and number of particles, the stability regions of the 3D full-vortex solitons and semi-vortices expand with the increase of the SOC strength and OL depth. The results open the route to the creation of 3D complexes of vorticity-carrying condensates that can be realized with existing experimental techniques.
ER  -