论文标题
在多体局部系统中，空间一粒子密度 - 元素熵的缩放特性
Scaling properties of a spatial one-particle density-matrix entropy in many-body localized systems
论文作者
论文摘要
我们研究了从一维相互作用的费米子中从单粒子密度矩阵（OPDM）中提取的空间子系统熵，该熵具有多体局部（MBL）相。在推定的MBL制度中，尽管不是适当的纠缠措施，但该OPDM熵表现出了定位的显着特征。我们从数值上表明特征态的OPDM熵遵守了地区法律。与von-neumann熵类似，opdm熵在量子淬火后随时间增长，尽管具有不同的先前因子。这两种特征都可以在中等大的相互作用上生存，并且朝着过渡到厄尔贡阶段的过渡良好。计算OPDM熵的计算成本仅以系统大小为单位，这表明OPDM为在模拟和实验中开发MBL的诊断工具提供了有希望的起点。
We investigate a spatial subsystem entropy extracted from the one-particle density matrix (OPDM) in one-dimensional disordered interacting fermions that host a many-body localized (MBL) phase. Deep in the putative MBL regime, this OPDM entropy exhibits the salient features of localization, despite not being a proper entanglement measure. We numerically show that the OPDM entropy of the eigenstates obeys an area law. Similar to the von-Neumann entropy, the OPDM entropy grows logarithmically with time after a quantum quench, albeit with a different prefactor. Both these features survive at moderately large interactions and well towards the transition into the ergodic phase. The computational cost to calculate the OPDM entropy scales only polynomially with the system size, suggesting that the OPDM provides a promising starting point for developing diagnostic tools for MBL in simulations and experiments.
