量子纹理作为量子自旋链相变探针

中文摘要 AI 辅助

量子纹理的概念最近被提出并用作量化相干性和量子门识别的工具。在这项工作中，我们研究了其在量子相变中的应用，展示了粗糙度度量作为有效相变探测的简单工具。我们建立了计算基下粗糙度与自旋关联函数层级之间的联系，并分析了在全局基态和属于不同磁化扇区的基态中定义的粗糙度（我们称之为全局与对称分辨粗糙度），以研究海森堡XXZ模型的相图。我们在两个转变点都发现了不同的粗糙度特征。特别是，在Δ=1处，即使对于小系统也出现尖锐特征，揭示了纹理编码的关联层级对该点的显著敏感性。由于BKT转变与XXZ模型的各向同性SU(2)点重合，这种行为可能反映了粗糙度对各向同性时自旋关联层级结构的特殊敏感性。

英文摘要

The idea of quantum texture has been recently proposed and used as a tool for quantifying coherences and for quantum gate identification. In this work we offer a study on its usage to quantum phase transitions, demonstrating the rugosity metric as a simple tool for effective phase-transition probing. We establish the link between rugosity in the computational basis and the hierarchy of spin correlators, and analyze rugosities defined in the global ground-state and in ground-states belonging to different magnetization sectors (to which we refer to as global vs symmetry-resolved rugosities) to study the phase diagram of the Heisenberg XXZ model. We find distinct rugosity signatures at both transition points. In particular, a sharp feature appears at $Δ=1$ already for small systems, revealing a pronounced sensitivity of the correlation hierarchy encoded by the texture to this point. Since the BKT transition coincides with the isotropic $SU(2)$ point of the XXZ model, this behavior may reflect a particular sensitivity of rugosity to the structure of the spin-correlation hierarchy at isotropy.

发表机构

• Okinawa Institute of Science and Technology Graduate University（冲绳科学技术大学院大学）
• São Paulo State University (UNESP)（圣保罗州立大学）
• Instituto de Física de São Carlos, Universidade de São Paulo（圣卡洛斯物理研究所，圣保罗大学）

机构由 AI 辅助整理，请以论文原文为准。