纠缠熵的普适驱动临界动力学
Universal Driven Critical Dynamics of Entanglement Entropy
- Beijing National Laboratory for Condensed Matter Physics & Institute of Physics, Chinese Academy of Sciences（中国科学院物理研究所）
- University of Chinese Academy of Sciences（中国科学院大学）
- Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, Sun Yat-Sen University（中山大学）
- School of physics, Sun Yat-Sen University（中山大学物理学院）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
该研究建立了量子纠缠非平衡动力学的普适有限时间标度理论，通过量子蒙特卡洛模拟发现(2+1)维狄拉克费米子的角纠缠遵循普适驱动标度，可推广KZM至非局域量子信息度量，为量子模拟器表征临界性提供蓝图。
AI中文摘要：
基布尔-祖雷克机制（KZM）和有限时间标度（FTS）为驱动临界动力学提供了基础框架，但其预测能力在很大程度上局限于局域可观测量。本文中，我们建立了量子纠缠非平衡动力学的普适有限时间标度理论。利用无偏量子蒙特卡洛模拟，我们研究了从有序相驱动至量子临界点的(2+1)维相互作用狄拉克费米子的角纠缠熵。我们发现，角纠缠准确遵循由驱动速率和系统大小决定的普适驱动标度，无论初始有序态是完全有隙还是具有无隙戈德斯通模式，该标度均成立。关键的是，这种动力学纠缠对驱动速率呈现对数依赖关系，由此可在远离平衡时稳健提取 underlying 共形场论的普适角系数。这些结果将KZM从局域可观测量推广至内在非局域量子信息度量，为在可编程量子模拟器上表征量子临界性和纠缠提供了实用蓝图。
英文摘要：
The Kibble-Zurek mechanism (KZM) and finite-time scaling (FTS) provide a foundational framework for driven critical dynamics, yet their predictive power has been largely confined to local observables. Here, we establish a universal finite-time scaling theory for the nonequilibrium dynamics of quantum entanglement. Using unbiased quantum Monte Carlo simulations, we investigate the corner entanglement entropy of (2+1)-dimensional interacting Dirac fermions driven from ordered phases toward a quantum critical point. We find that the corner entanglement accurately obeys a universal driven scaling governed by the driving rate and system size, persisting whether the initial ordered state is fully gapped or hosts gapless Goldstone modes. Crucially, this dynamical entanglement exhibits a logarithmic dependence on the driving rate, from which the universal corner coefficient of the underlying conformal field theory can be robustly extracted far from equilibrium. These results generalize the KZM from local observables to the intrinsic nonlocal quantum information measures, offering a practical blueprint for characterizing quantum criticality and entanglement on programmable quantum simulators.
