Dynamics of parafermionic states in transport measurements
Artikel i vetenskaplig tidskrift, 2023

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 Z6 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.

Författare

Ida Egholm Nielsen

Niels Bohr Institute

Jens Schulenborg

Chalmers, Mikroteknologi och nanovetenskap, Tillämpad kvantfysik

Niels Bohr Institute

Reinhold Egger

Heinrich Heine Universität Düsseldorf

Michele Burrello

Niels Bohr Institute

Köpenhamns universitet

SciPost Physics

25424653 (eISSN)

Vol. 15 5 189

Capturing quantum dynamics on the picosecond scale (UltraFastNano)

Europeiska kommissionen (EU) (EC/H2020/862683), 2020-01-01 -- 2023-12-31.

Ämneskategorier

Den kondenserade materiens fysik

DOI

10.21468/SciPostPhys.15.5.189

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Senast uppdaterat

2023-11-23