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Parafermionic zero modes in ultracold bosonic systems
- Source :
- Phys. Rev. Lett. 115, 065301 (2015)
- Publication Year :
- 2015
-
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.
Details
- Database :
- arXiv
- Journal :
- Phys. Rev. Lett. 115, 065301 (2015)
- Publication Type :
- Report
- Accession number :
- edsarx.1504.04012
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1103/PhysRevLett.115.065301