TY - JOUR T1 - Minimal model for fast scrambling JF - Phys. Rev. Lett. Y1 - 2020 A1 - Ron Belyansky A1 - Przemyslaw Bienias A1 - Yaroslav A. Kharkov A1 - Alexey V. Gorshkov A1 - Brian Swingle AB -
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.
VL - 125 UR - https://arxiv.org/abs/2005.05362 CP - 130601 U5 - https://doi.org/10.1103/PhysRevLett.125.130601 ER -