二分区上的信息置乱：平衡、熵产生和典型性
Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality
摘要：
近年来，无序相关器（OTOC）已经成为量子多体系统中信息置乱的一种诊断工具。在这里，我们提出了精确的分析结果的OTOC一个典型的对随机本地运营商支持两个地区的bipartition。非常值得注意的是，我们表明，这个“二分OTOC”是等于运营商纠缠的演变，我们确定其相互作用与纠缠功率。此外，我们计算了OTOC的长时间平均值，并揭示了它们与本征态纠缠的关系。对于哈密顿系统，我们揭示了层次结构的限制的频谱，并阐明这是如何影响的OTOC的平衡值。最后，我们提供了操作意义，这个二分OTOC解开密切的联系，平均熵产生和混乱的信息在量子信道的水平。
英文摘要：
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.
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