论文标题
在两人方面争先恐后的信息：平衡，熵产生和典型性
Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
论文作者
论文摘要
近年来，耗阶订单相关器（OTOC）已成为一种诊断工具，用于在量子多体系统中争夺信息。在这里，我们为OTOC提供了一对典型的随机本地操作员的确切分析结果，该典型的本地操作员在两个区域的两个区域支持。非常值得注意的是，我们表明，这种“两分之一的OTOC”等于进化的操作员纠缠，我们确定了它与纠缠力量的相互作用。此外，我们计算了OTOC的长期平均值，并揭示了它们与本征态纠缠的联系。对于哈密顿系统，我们发现了对光谱结构的约束层次结构，并阐明了这如何影响OTOC的平衡值。最后，我们通过与量子通道级别的平均熵产生和信息拼凑而成的紧密联系，从而为该两部分OTOC提供了操作意义。
In recent years, the out-of-time-order correlator (OTOC) has emerged as a diagnostic tool for information scrambling in quantum many-body systems. Here, we present exact analytical results for the OTOC for a typical pair of random local operators supported over two regions of a bipartition. Quite remarkably, we show that this "bipartite OTOC" is equal to the operator entanglement of the evolution and we determine its interplay with entangling power. Furthermore, we compute long-time averages of the OTOC and reveal their connection with eigenstate entanglement. For Hamiltonian systems, we uncover a hierarchy of constraints over the structure of the spectrum and elucidate how this affects the equilibration value of the OTOC. Finally, we provide operational significance to this bipartite OTOC by unraveling intimate connections with average entropy production and scrambling of information at the level of quantum channels.
