



01362nas a2200181   4500008004100000245005800041210005800099260001500157300001100172490000800183520083900191100002701030700002101057700002201078700002501100700001701125856003801142       2015                        eng d00aParafermionic zero modes in ultracold bosonic systems0 aParafermionic zero modes in ultracold bosonic systems  c2015/08/06  a0653010 v1153 a  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.
1 aMaghrebi, Mohammad, F.1 aGaneshan, Sriram1 aClarke, David, J.1 aGorshkov, Alexey, V.1 aSau, Jay, D.  uhttp://arxiv.org/abs/1504.04012v2