title: 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 end points of the trenches and give rise to a topologically protected degeneracy. We also discuss methods for preparing and detecting these modes.
authors: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.|Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
authors: M F
authors: MF
authors: Maghrebi
authors: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.|Condensed Matter Theory Center and Physics Department, University of Maryland, College Park, Maryland 20742, USA.
authors: S
authors: S
authors: Ganeshan
authors: Condensed Matter Theory Center and Physics Department, University of Maryland, College Park, Maryland 20742, USA.
authors: D J
authors: DJ
authors: Clarke
authors: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.|Joint Center for Quantum Information and Computer Science, NIST/University of Maryland, College Park, Maryland 20742, USA.
authors: A V
authors: AV
authors: Gorshkov
authors: Joint Quantum Institute, NIST/University of Maryland, College Park, Maryland 20742, USA.|Condensed Matter Theory Center and Physics Department, University of Maryland, College Park, Maryland 20742, USA.
authors: J D
authors: JD
authors: Sau