Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
Diagnostics of entanglement dynamics in noisy and disordered spin chains via the measurement-induced steady-state entanglement transition
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通过测量引起的稳态纠缠跃迁诊断噪声和无序自旋链中的纠缠动力学
DOI：
10.1103/physrevb.105.144202
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发表时间：
2022
影响因子：
3.7
通讯作者：
Boorman T
中科院分区：
文献类型：
--
作者：
Boorman T
我们利用测量诱导纠缠跃迁的概念来分析在局部噪声和无序哈密顿量下演化的一维量子自旋链中产生和破坏纠缠的过程的相互作用和竞争。我们采用可变强度的连续测量来诱导稳态纠缠熵从体积到面积的转变。虽然静态背景失谐会系统性地降低临界测量强度，但该临界值非单调地取决于非静态噪声的强度。根据提取的有限尺度指数，过渡的通用性与噪声和无序强度无关。我们从静态和非静态无序对没有测量的情况下由哈密顿量引起的纠缠产生率的复杂动力学的影响来解释结果，这充分反映在临界测量强度的行为中。我们的研究结果在这种纠缠增长与测量控制系统的稳态行为之间建立了牢固的联系，因此可以作为量化和研究复杂多体系统中通过稳态相变的瞬态纠缠动力学特征的工具。
We utilize the concept of a measurement-induced entanglement transition to analyze the interplay and competition of processes that generate and destroy entanglement in a one-dimensional quantum spin chain evolving under a locally noisy and disordered Hamiltonian. We employ continuous measurements of variable strength to induce a transition from volume to area-law scaling of the steady-state entanglement entropy. While static background disorder systematically reduces the critical measurement strength, this critical value depends nonmonotonically on the strength of nonstatic noise. According to the extracted finite-size scaling exponents, the universality class of the transition is independent of the noise and disorder strength. We interpret the results in terms of the effect of static and nonstatic disorder on the intricate dynamics of theentanglement generation ratedue to the Hamiltonian in the absence of measurement, which is fully reflected in the behavior of the critical measurement strength. Our results establish a firm connection between this entanglement growth and the steady-state behavior of the measurement-controlled systems, which therefore can serve as a tool to quantify and investigate features of transient entanglement dynamics in complex many-body systems via a steady-state phase transition.
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