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Minimal Model for Fast Scrambling

TitleMinimal Model for Fast Scrambling
Publication TypeJournal Article
Year of Publication2020
AuthorsR. Belyansky, P. Bienias, Y. A. Kharkov, , and B. Swingle
JournalPhys. Rev. Lett.
Date PublishedSEP 21
Type of ArticleArticle

We study quantum information scrambling in spin models with both long-range all-to-all and shortrange interactions. WC argue that a simple global, spatially homogeneous interaction together with local chaotic dynamics is sufficient to give rise to fast scrambling, which describes the spread of quantum information over the entire system in a time that is logarithmic in the system size. This is illustrated in two tractable models: (1) a random circuit with Haar random local unitaties and a global interaction and (2) a classical model of globally coupled nonlinear oscillators. We use exact numerics to provide further evidence by studying the time evolution of an out-of-time-order correlator and entanglement entropy in spin chains of intermediate sizes. Our results pave the way towards experimental investigations of fast scrambling and aspects of quantum gravity with quantum simulators.