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

Quantum Physics arXiv:2608.07939 (quant-ph) [Submitted on 8 Aug 2026] Title:Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates Authors:Chao Kong, Jinqing Li, Guihua Chen, Guilong Li, Zhaopin Chen, Haiming Deng, Boris A. Malomed, Yongyao Li View a PDF of the paper titled Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates, by Chao Kong and 7 other authors View PDF HTML (experimental) Abstract: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 $\alpha $. 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 $\alpha $. 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. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2608.07939 [quant-ph] (or arXiv:2608.07939v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2608.07939 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Submission history From: Chao Kong [view email] [v1] Sat, 8 Aug 2026 06:00:45 UTC (1,952 KB) Full-text links: Access Paper: View a PDF of the paper titled Stable three-dimensional solitons in spin-orbit-coupled atomic-molecular condensates, by Chao Kong and 7 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-08 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)