Braiding and fusion of non-abelian vortex anyons

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

doi:10.1103/PhysRevLett.123.140404

Braiding and fusion of non-abelian vortex anyons

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

Research output: Contribution to journal › Article › Research › peer-review

21 Citations (Scopus)

Abstract

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 language	English
Article number	140404
Number of pages	6
Journal	Physical Review Letters
Volume	123
Issue number	14
DOIs	https://doi.org/10.1103/PhysRevLett.123.140404
Publication status	Published - 3 Oct 2019

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10.1103/PhysRevLett.123.140404

289649645-oaFinal published version, 605 KB

Cite this

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abstract = "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.",

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AB - 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.

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Braiding and fusion of non-abelian vortex anyons

Abstract

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Determining the mass and geometric phase of a superfluid vortex

Centre for Electron Microscopy (MCEM)

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Braiding and fusion of non-abelian vortex anyons

Abstract

Access to Document

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Projects

Determining the mass and geometric phase of a superfluid vortex

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Centre for Electron Microscopy (MCEM)

Cite this