Parafermionic zero modes in ultracold bosonic systems
Abstract
Exotic topologically protected zero modes with parafermionic statistics (also called fractionalized Majorana modes) have been proposed to emerge in devices fabricated from a fractional quantum Hall system and a superconductor. The fractionalized statistics of these modes takes them an important step beyond the simplest non-Abelian anyons, Majorana fermions. Building on recent advances towards the realization of fractional quantum Hall states of bosonic ultracold atoms, we propose a realization of parafermions in a system consisting of Bose-Einstein-condensate trenches within a bosonic fractional quantum Hall state. We show that parafermionic zero modes emerge at the endpoints of the trenches and give rise to a topologically protected degeneracy. We also discuss methods for preparing and detecting these modes.
Cite
@article{arxiv.1504.04012,
title = {Parafermionic zero modes in ultracold bosonic systems},
author = {Mohammad F. Maghrebi and Sriram Ganeshan and David J. Clarke and Alexey V. Gorshkov and Jay D. Sau},
journal= {arXiv preprint arXiv:1504.04012},
year = {2015}
}