The Anyon Zeno Effect

TL;DR

This paper predicts that frequent measurement of anyons in a quantum Hall interferometer induces a Zeno effect, trapping anyons and extending their lifetime, with observable conductance autocorrelation changes depending on braiding phase and measurement rate.

Contribution

It introduces the concept of a Zeno effect for anyons in quantum Hall systems, linking measurement-induced dynamics to braiding phases and tunneling suppression.

Findings

Autocorrelation time of conductance increases with bias current.

Zeno effect depends on braiding phase and contact transmission.

Measurement can control and extend anyon lifetime.

Abstract

Two anyons encircling each other acquire a quantized braiding phase that is independent of their spatial separation. We show that detecting this phase in a fractional quantum Hall interference experiment results in a quantum Zeno effect: a localized anyon is trapped by constant observation from a stream of anyons supplied by the measurement current. Interferometers with an embedded antidot are ideal for accessing the Zeno regime, where the bare tunneling rate of localized anyons is much lower than the measurement rate. The Zeno-suppressed tunneling rate of the trapped anyon depends on the braiding phase and the transmission of the quantum point contacts. Our primary prediction is that the autocorrelation time of the conductance through the interferometer increases with the bias current. This effect may be used to experimentally control the anyon dynamics, in particular to increase the lifetime of localized anyons.