Controlled creation of a singular spinor vortex by circumventing the Dirac belt trick

L. S. Weiss, M. O. Borgh, A. Blinova, Tuomas Ollikainen, Mikko Möttönen, J. Ruostekoski, D. S. Hall (Corresponding Author)

Research output: Contribution to journalArticleScientificpeer-review

14 Citations (Scopus)


Persistent topological defects and textures are particularly dramatic consequences of superfluidity. Among the most fascinating examples are the singular vortices arising from the rotational symmetry group SO(3), with surprising topological properties illustrated by Dirac’s famous belt trick. Despite considerable interest, controlled preparation and detailed study of vortex lines with complex internal structure in fully three-dimensional spinor systems remains an outstanding experimental challenge. Here, we propose and implement a reproducible and controllable method for creating and detecting a singular SO(3) line vortex from the decay of a non-singular spin texture in a ferromagnetic spin-1 Bose–Einstein condensate. Our experiment explicitly demonstrates the SO(3) character and the unique spinor properties of the defect. Although the vortex is singular, its core fills with atoms in the topologically distinct polar magnetic phase. The resulting stable, coherent topological interface has analogues in systems ranging from condensed matter to cosmology and string theory.

Original languageEnglish
Article number4772
JournalNature Communications
Issue number1
Publication statusPublished - 16 Oct 2019
MoE publication typeA1 Journal article-refereed


We acknowledge funding by the National Science Foundation (grant nos. PHY–1519174 and PHY–1806318), by the Emil Aaltonen Foundation, by the Kaupallisten ja teknillisten tieteiden tukisäätiö (KAUTE) foundation through its Researchers Abroad programme, by the Academy of Finland through the Centre of Excellence Programme (grant no. 312300) and ERC Consolidator Grant QUESS (no. 681311), and by the EPSRC.


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