%0 Journal Article %J Phys. Rev. Lett. %D 2020 %T Minimal model for fast scrambling %A Ron Belyansky %A Przemyslaw Bienias %A Yaroslav A. Kharkov %A Alexey V. Gorshkov %A Brian Swingle %X

We study quantum information scrambling in spin models with both long-range all-to-all and short-range interactions. We 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 exactly solvable models: (1) a random circuit with Haar random local unitaries and a global interaction and (2) a classical model of globally coupled non-linear 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 can be verified with state-of-the-art quantum simulators.

%B Phys. Rev. Lett. %V 125 %8 9/22/2020 %G eng %U https://arxiv.org/abs/2005.05362 %N 130601 %R https://doi.org/10.1103/PhysRevLett.125.130601