从纠缠中测量准局域运动积分
Measuring out quasi-local integrals of motion from entanglement
AI总结：
提出基于空间分辨纠缠探针提取准局域运动积分实空间性质的方法，并用张量网络计算和严格纠缠界证明纠缠产生可测量的长度尺度。
摘要：
准局域运动积分是支撑多体局域化现代理解的关键概念，这是一种相互作用与无序共同作用的奇特现象。尽管存在多种计算它们的数值方法——且令人惊讶的是，鉴于许多性质的物理现象可从中推导出来——但如何在真实的量子模拟中直接测量其特征并不明显；事实上，其实验观测的决定性证据可以说仍然缺失。在本研究中，我们提出了一种基于空间分辨纠缠探针的方法来提取此类准局域运动积分的实空间性质，该探针能够从非平衡动力学中区分安德森局域与多体局域。我们用一个新的严格纠缠界补充了这些发现，并使用张量网络计算了相关量。我们证明纠缠产生了一个可在实验中测量的明确定义的长度尺度。
英文摘要：
Quasi-local integrals of motion are a key concept underpinning the modern understanding of many-body localisation, an intriguing phenomenon in which interactions and disorder come together. Despite the existence of several numerical ways to compute them - and astoundingly in the light of the observation that much of the phenomenology of many properties can be derived from them - it is not obvious how to directly measure aspects of them in real quantum simulations; in fact, the smoking gun of their experimental observation is arguably still missing. In this work, we propose a way to extract the real-space properties of such quasi-local integrals of motion based on a spatially-resolved entanglement probe able to distinguish Anderson from many-body localisation from non-equilibrium dynamics. We complement these findings with a new rigorous entanglement bound and compute the relevant quantities using tensor networks. We demonstrate that the entanglement gives rise to a well-defined length scale that can be measured in experiments.
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