|Title||Minimal Model for Fast Scrambling|
|Publication Type||Journal Article|
|Year of Publication||2020|
|Authors||R. Belyansky, P. Bienias, Y. A. Kharkov, , and B. Swingle|
|Journal||Phys. Rev. Lett.|
|Date Published||SEP 21|
|Type of Article||Article|
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.