论文标题
在多体局部系统中，Hilbert Space相关性超出了多纹状体和双方纠缠
Hilbert-space correlations beyond multifractality and bipartite entanglement in many-body localised systems
论文作者
论文摘要
多体局部（MBL）系统的本征态以面积二分的纠缠以及其在希尔伯特空间上的振幅的多重统计数据为特征。同时，具有分形统计的稀疏随机纯状态与区域法不兼容，并且必然会表现出数量法律纠缠。这就提出了一个问题，即希尔伯特空间振幅的相关功能MBL特征态必须拥有其区域法纠缠的函数，才能兼容其多重纹理。在这项工作中，我们确定并计算了携带纠缠信息的这种适当的希尔伯特空间相关性。我们发现，对于MBL本征态，这些相关性在质量上不仅不同于颈态状态的相关性，而且具有分形统计的稀疏随机状态。这使我们能够表明，上述相关性确实在于MBL本特征的区域法纠缠和多纹理的共存的核心。
Eigenstates of many-body localised (MBL) systems are characterised by area-law bipartite entanglement along with multifractal statistics of their amplitudes on Hilbert space. At the same time, sparse random pure states with fractal statistics are not compatible with area-law and necessarily exhibit volume-law entanglement. This raises the question that what correlation functions of Hilbert-space amplitudes MBL eigenstates must possess for their area law entanglement to be compatible with their multifractality. In this work, we identify and compute such appropriate Hilbert-space correlations which carry information of entanglement. We find that, for MBL eigenstates, these correlations are qualitatively different not only from those of ergodic states but also of sparse random states with fractal statistics. This enables us to show that indeed the said correlations lie at the heart of the coexistence of area-law entanglement and multifractality for MBL eigenstates.
