Braiding and fusion of non-abelian vortex anyons

T. Mawson, T. C. Petersen, J. K. Slingerland, T. P. Simula

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We have studied topology and dynamics of quantum vortices in spin-2 Bose-Einstein condensates. By computationally modeling controllable braiding and fusion of these vortices, we have demonstrated that certain vortices in such spinor condensates behave as non-Abelian anyons. We identify these anyons as fluxon, chargeon, and dyon quasiparticles. The pertinent anyon models are defined by the quantum double of the underlying discrete non-Abelian symmetry group of the condensate ground state order parameter.

Original languageEnglish
Article number140404
Number of pages6
JournalPhysical Review Letters
Issue number14
Publication statusPublished - 3 Oct 2019

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