Dynamics of parafermionic states in transport measurements
Ida Egholm Nielsen, Jens Schulenborg, Reinhold Egger, Michele Burrello
SciPost Phys. 15, 189 (2023) · published 8 November 2023
- doi: 10.21468/SciPostPhys.15.5.189
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Abstract
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.
Cited by 1
Authors / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 Ida Egholm Nielsen,
- 2 3 Jens Schulenborg,
- 4 Reinhold Egger,
- 1 2 Michele Burrello
- 1 Københavns Universitet / University of Copenhagen [UCPH]
- 2 Niels Bohr Institute [NBI]
- 3 Chalmers Tekniska Högskola / Chalmers University of Technology
- 4 Heinrich-Heine-Universität Düsseldorf / Heinrich Heine University Düsseldorf [HHU]
- Danmarks Grundforskningsfond / Danish National Research Foundation [DNRF]
- Deutsche Forschungsgemeinschaft / German Research FoundationDeutsche Forschungsgemeinschaft [DFG]
- Horizon 2020 (through Organization: European Commission [EC])
- Knut och Alice Wallenbergs Stiftelse (Knut and Alice Wallenberg Foundation) (through Organization: Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation)
- Villum Fonden / Velux Foundation