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PreprintarXiv licencearXiv

Nonabelian vortices: From topological strings to nonvolatile memory

  • Chau Dao
  • Eric Kleinherbers
  • Yaroslav Tserkovnyak
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Abstract

We investigate the topological classification and properties of nonabelian vortices that arise in a 2-dimensional film of a two-component condensate. For a repulsive interaction between the condensates, we realize an order parameter in the ordered configuration space of three complex numbers π’ž3(β„‚). Analyzing the homotopic properties, we find the emergence of elementary nonabelian vortex-antivortex pairs connected by energetic strings that are rooted in the repulsive interaction and carry the nonabelian information. Moreover, we predict the existence of Brunnian vortices, which are textures exhibiting zero net winding of the condensate phases and can only be detected by a higher-order winding number. Finally, to motivate technological applications rooted in nonabelian vortex transport, we devise a nonvolatile memory storage device that encodes topologically robust information.

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Cite

BibTeXRIS
BibTeX
@misc{dao2026nonabelian,
  title = {{Nonabelian vortices: From topological strings to nonvolatile memory}},
  author = {Chau Dao and Eric Kleinherbers and Yaroslav Tserkovnyak},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.28025},
  eprint = {2609.28025},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.28025},
}
RIS
TY  - UNPB
TI  - Nonabelian vortices: From topological strings to nonvolatile memory
AU  - Chau Dao
AU  - Eric Kleinherbers
AU  - Yaroslav Tserkovnyak
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.28025
UR  - https://arxiv.org/abs/2609.28025
AB  - We investigate the topological classification and properties of nonabelian vortices that arise in a 2-dimensional film of a two-component condensate. For a repulsive interaction between the condensates, we realize an order parameter in the ordered configuration space of three complex numbers π’ž_3(β„‚). Analyzing the homotopic properties, we find the emergence of elementary nonabelian vortex-antivortex pairs connected by energetic strings that are rooted in the repulsive interaction and carry the nonabelian information. Moreover, we predict the existence of Brunnian vortices, which are textures exhibiting zero net winding of the condensate phases and can only be detected by a higher-order winding number. Finally, to motivate technological applications rooted in nonabelian vortex transport, we devise a nonvolatile memory storage device that encodes topologically robust information.
ER  -