TY - JOUR
T1 - Parafermionic zero modes in ultracold bosonic systems
JF - Physical Review Letters
Y1 - 2015
A1 - Mohammad F. Maghrebi
A1 - Sriram Ganeshan
A1 - David J. Clarke
A1 - Alexey V. Gorshkov
A1 - Jay D. Sau
AB - 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.
VL - 115
U4 - 065301
UR - http://arxiv.org/abs/1504.04012v2
CP - 6
J1 - Phys. Rev. Lett.
U5 - 10.1103/PhysRevLett.115.065301
ER -