Remanent magnetization: signature of Many-Body Localization in quantum antiferromagnets

TL;DR

This paper investigates how remanent magnetization in quantum spin chains serves as an indicator of many-body localization, providing analytical insights and experimental relevance.

Contribution

It introduces remanent magnetization as a new order parameter for many-body localization in quantum antiferromagnets and analytically characterizes its behavior in the localized phase.

Findings

Remanent magnetization remains finite in the localized phase.

Analytical calculation of remanent magnetization in strong disorder regimes.

Potential experimental detection in magnetic and cold atomic systems.

Abstract

We study the remanent magnetization in antiferromagnetic, many-body localized quantum spin chains, initialized in a fully magnetized state. Its long time limit is an order parameter for the localization transition, which is readily accessible by standard experimental probes in magnets. We analytically calculate its value in the strong-disorder regime exploiting the explicit construction of quasi-local conserved quantities of the localized phase. We discuss analogies in cold atomic systems.