发表机构
Karlsruhe Institute of Technology; Shanghai Jiao Tong University（卡尔斯鲁厄理工学院; 上海交通大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究具有随机幂律跳跃的一维受监测非相互作用复费米子链的纠缠动力学，通过分析不同α值下稳态纠缠熵的缩放情况，确定依赖于α的测量诱导相变，突出超扩散经典跳跃在纠缠动力学中的重要性及与传统纠缠源的区别。
AI 中文摘要
我们研究了具有以衰减指数α表征的随机幂律跳跃的一维受监测非相互作用复费米子链的纠缠动力学。对于α≤1，与最近邻跳跃情况形成鲜明对比，稳态纠缠熵（EE）随系统大小L的缩放比对数更快，对于足够小的α≤1/2趋向于线性（体积律）缩放。对于α>3/2，EE处于面积律相。对于1<α≤3/2，我们确定了一个依赖于α的测量诱导相变（MIPT），在该相变处EE随系统大小对数缩放，且密度-密度关联函数呈现多重分形特征。这些结果突出了超扩散经典跳跃在量子多体系统纠缠动力学中的重要性，并有助于区分其与传统纠缠源的作用。
英文摘要
We study the entanglement dynamics of a one-dimensional chain of monitored non-interacting complex fermions with random power-law hopping characterized by a decay exponent $α$. For $α\lesssim 1$, in stark contrast with the case of hopping to nearest neighbors, the scaling of the entanglement entropy (EE) of the steady state with system size $L$ is faster than logarithmic for any monitoring or disorder strength and it tends towards a linear (volume-law) scaling for sufficiently small $α\lesssim 1/2$. For $α> 3/2$, the EE is in the area-law phase, namely, no scaling with $L$, for any monitoring strength. For $1 < α\lesssim 3/2$, we identify an $α$-dependent measurement-induced phase transition (MIPT) at a critical value of the monitoring strength separating the mentioned area-law and sub-volume-law phases. At this critical point, the EE scales logarithmically with system size, and the density-density correlation function, closely related to the EE, exhibits multifractal features. These results highlight the importance of superdiffusive classical hopping in the entanglement dynamic of quantum many-body systems and also help differentiate its role with respect to conventional sources of entanglement such as genuine quantum non-locality.
Comments13 pages, 15 figures. Corrected typos, revised the last paragraph on page 1 and added four references
