Photonic Chirality for Braiding and Readout of Non-Abelian Anyons

TL;DR

This paper introduces a cavity-based method using photonic chirality to control and read out non-Abelian anyons in a quantum Hall system, enabling braid operations and state detection through cavity coherence.

Contribution

It presents a novel cavity scheme that leverages photonic chirality for braiding and readout of non-Abelian anyons, avoiding fragile electronic interference.

Findings

Derives the rotating pinning term and readout relation at the effective-theory level.

Identifies an operating window based on subgap driving, adiabatic transport, and cavity coherence.

Provides diagnostics for transport locking and state-dependent braid readout.

Abstract

We propose a cavity-based scheme that uses photonic chirality to control braiding and read out non-Abelian anyons in a fractional quantum Hall platform. Counter-propagating cavity modes interfere with a classical reference tone to create a rotating pinning landscape whose direction is set by photon circulation, so that opposite photonic branches drive opposite anyon loops. This realizes a branch-conditioned braid operation and maps the resulting braid response onto cavity intermode coherence. We derive the rotating pinning term and the readout relation at the effective-theory level, identify an operating window set by subgap driving, adiabatic transport, localization, and cavity coherence, and provide phenomenological diagnostics of transport locking. In the minimal four-anyon Ising realization, the leading signal reduces to a calibrated phase; more generally, the same readout structure becomes state dependent when the relative braid operator is non-scalar. The scheme provides a cavity route to braid-sensitive readout of non-Abelian anyons without relying on fragile electronic interference fringes.