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Topologically protected vortex knots and links

Physics

Topologically protected vortex knots and links

T. Annala, R. Zamora-zamora, et al.

This groundbreaking research by Toni Annala, Roberto Zamora-Zamora, and Mikko Möttönen explores the fascinating world of non-Abelian vortex knots and links that are topologically protected. Unlike traditional structures that can easily unravel, these knots remain intact under local reconnections, showcasing a fascinating classification scheme based on topologically allowed transformations. Discover the implications of these findings across various physical systems, including Bose-Einstein condensates and liquid crystals.

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Playback language: English
Abstract
This paper investigates the topological protection of knotted and linked structures formed by non-Abelian vortices. Unlike previously studied knotted structures which can untie through local reconnections, the authors construct knots and links that are topologically protected, meaning they cannot be dissolved using local reconnections and strand crossings. The study introduces invariants to classify these structures and proposes a classification scheme based on topologically allowed transformations. The existence of these topologically protected links is supported by various physical systems, including dilute Bose-Einstein condensates and liquid crystals.
Publisher
Communications Physics
Published On
Dec 12, 2022
Authors
Toni Annala, Roberto Zamora-Zamora, Mikko Möttönen
Tags
non-Abelian vortices
topological protection
knotted structures
invariants
Bose-Einstein condensates
liquid crystals
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