# Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality.

@article{Styliaris2021InformationSO, title={Information Scrambling over Bipartitions: Equilibration, Entropy Production, and Typicality.}, author={Georgios Styliaris and Namit Anand and Paolo Zanardi}, journal={Physical review letters}, year={2021}, volume={126 3}, pages={ 030601 } }

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…

## 12 Citations

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We investigate the operator growth dynamics in a bipartite system of kicked coupled tops with out-of-time ordered correlators (OTOC). We numerically study OTOCs for different types of initial…

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