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Topological Quantum Computing Quantum Simulation

Fractionalization of itinerant anyons in one dimensional chains

arXiv
Authors: Didier Poilblanc, Matthias Troyer, Eddy Ardonne, Parsa Bonderson

Year

2011

Paper ID

31008

Status

Preprint

Abstract Read

~2 min

Abstract Words

107

Citations

N/A

Abstract

We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive effective anyonic t-J models for the low energy sectors. Solving these models by exact diagonalization, we find a fractionalization of the anyons into charge and (non-Abelian) anyonic degrees of freedom - a generalization of spin-charge separation of electrons which occurs in Luttinger liquids. A detailed description of the excitation spectrum by combining spectra for charge and anyonic sectors requires a subtle coupling between charge and anyonic excitations at the microscopic level (which we also find to be present in Luttinger liquids), despite the macroscopic fractionalization.

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  • We construct models of interacting itinerant non-Abelian anyons moving along one-dimensional chains, focusing in particular on itinerant Ising anyon chains, and derive...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1112.5950 [2] arXiv https://arxiv.org/abs/1112.5950 [3] Publisher https://arxiv.org/abs/1112.5950

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