Robust symmetry-protected metrology with the Haldane phase

TL;DR

This paper introduces a noise-robust quantum metrology method leveraging symmetry-protected topological phases, specifically using the Haldane phase's edge modes to measure electric field directions with enhanced stability.

Contribution

It presents a novel metrology scheme utilizing the error-preventing properties of the Haldane phase's fractionalized edge modes for robust electric field sensing.

Findings

Edge modes encode electric field direction.

The scheme is protected by residual symmetry.

Potential implementation with Rydberg dressed atoms.

Abstract

We propose a metrology scheme that is made robust to a wide range of noise processes by using the passive, error-preventing properties of symmetry-protected topological phases. The so-called fractionalized edge mode of an antiferromagnetic Heisenberg spin-1 chain in a rotationally-symmetric Haldane phase can be used to measure the direction of an unknown electric field, by exploiting the way in which the field direction reduces the symmetry of the chain. Specifically, the direction of the field is registered in the holonomy under an adiabatic sensing protocol, and the degenerate fractionalized edge mode is protected through this process by the remaining reduced symmetry. We illustrate the scheme with respect to a potential realization by Rydberg dressed atoms.