Parafermionic zero modes in ultracold bosonic systems

TitleParafermionic zero modes in ultracold bosonic systems
Publication TypeJournal Article
Year of Publication2015
AuthorsMaghrebi, MF, Ganeshan, S, Clarke, DJ, Gorshkov, AV, Sau, JD
JournalPhysical Review Letters
Date Published2015/08/06

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.

Short TitlePhys. Rev. Lett.