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.

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Cited by in corpus (13)

• Topological phases with parafermions: theory and blueprints
• Fermionized parafermions and symmetry-enriched Majorana modes
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Proximity effects in cold atom artificial graphene
• Topological phase, supercritical point and emergent phenomena in extended ${\mathbb{Z}}_3$ parafermion chain
• Topological contextuality and anyonic statistics of photonic-encoded parafermions
• Topological phases of parafermionic chains with symmetries
• Chiral edge dynamics and quantum Hall physics in synthetic dimensions with an atomic erbium Bose-Einstein condensate
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Bilayer fractional quantum Hall states with ultracold dysprosium
• Commuting-projector Hamiltonians for chiral topological phases built from parafermions
• Anomalous Quantum Information Scrambling for ${\mathbb{Z}}_3$ Parafermion Chains
• Enriched classification of parafermionic gapped phases with time reversal symmetry