Universal quantum noise in adiabatic pumping

TL;DR

This paper investigates the universal noise characteristics of charge pumping in parafermion systems at fractional quantum Hall edges, revealing robust statistical properties linked to topological degeneracy and quasiparticle charge.

Contribution

It introduces a universal noise behavior in adiabatic charge pumping involving parafermions, applicable also to Majorana fermions, highlighting topological influences on current statistics.

Findings

Fano factor expressed via topological degeneracy and quasiparticle charge

Universal counting statistics in the adiabatic limit

Noisy behavior persists even as the system approaches adiabatic conditions

Abstract

We consider charge pumping in a system of parafermions, implemented at fractional quantum Hall edges. Our pumping protocol leads to a noisy behavior of the pumped current. As the adiabatic limit is approached, not only does the noisy behavior persist but the counting statistics of the pumped current becomes robust and universal. In particular, the resulting Fano factor is given in terms of the system's topological degeneracy and the pumped quasiparticle charge. Our results are also applicable to the more conventional Majorana fermions.