The Diffusion of the Magnetization Profile in the XX-model

TL;DR

This paper studies how magnetization profiles evolve over time in the XX-model, revealing a thermal-driven transition from monotone to non-monotone profiles using $C^*$-algebraic methods.

Contribution

It introduces a $C^*$-algebraic approach to analyze the intermediate-time diffusion of magnetization in the XX-model, highlighting a thermal transition in profile shape.

Findings

Transition from monotone to non-monotone profile observed

Transition is purely thermal in nature

Method provides new insights into magnetization diffusion

Abstract

By the $C^*$-algebraic method, we investigate the magnetization profile in the intermediate time of diffusion. We observe a transition from monotone profile to non-monotone profile. This transition is purely thermal.