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Dynamics of parafermionic states in transport measurements

by Ida Egholm Nielsen, Jens Schulenborg, Reinhold Egger, Michele Burrello

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Submission summary

Authors (as registered SciPost users): Michele Burrello · Ida Nielsen
Submission information
Preprint Link:  (pdf)
Code repository:
Date accepted: 2023-10-23
Date submitted: 2023-10-10 07:58
Submitted by: Nielsen, Ida
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Condensed Matter Physics - Theory
Approaches: Theoretical, Computational


Advances in hybrid fractional quantum Hall (FQH)-superconductor platforms pave the way for realisation of parafermionic modes. We analyse signatures of these non-abelian anyons in transport measurements across devices with $\mathbb{Z}_6$ parafermions (PFs) coupled to an external electrode. Simulating the dynamics of these open systems by a stochastic quantum jump method, we show that a current readout over sufficiently long times constitutes a projective measurement of the fractional charge shared by two PFs. Interaction of these topological modes with the FQH environment, however, may cause poisoning events affecting this degree of freedom which we model by jump operators that describe incoherent coupling of PFs with FQH edge modes. We analyse how this gives rise to a characteristic three-level telegraph noise in the current, constituting a very strong signature of PFs. We discuss also other forms of poisoning and noise caused by interaction with fractional quasiparticles in the bulk of the Hall system. We conclude our work with an analysis of four-PF devices, in particular on how the PF fusion algebra can be observed in electrical transport experiments.

Published as SciPost Phys. 15, 189 (2023)

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