RSS icon
Twitter icon
Facebook icon
Vimeo icon
YouTube icon

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.
Volume125
Pagination130601
Date PublishedSEP 21
Type of ArticleArticle
ISSN0031-9007
Abstract

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.

DOI10.1103/PhysRevLett.125.130601