论文标题
快速争夺的最小模型
Minimal Model for Fast Scrambling
论文作者
论文摘要
我们研究具有远距离和短距离相互作用的自旋模型中的量子信息。我们认为，一种简单的全局，空间均匀的互动以及局部混沌动力学足以引起快速争夺，这描述了量子信息在整个系统中在系统大小上对数的时间内的传播。这在两个可处理的模型中进行了说明：（1）带有HAAR随机局部单位和全局相互作用的随机电路以及（2）全球耦合非线性振荡器的经典模型。我们使用精确的数字来通过研究中间尺寸的自旋链中的超阶相关器和纠缠熵的时间演变来提供进一步的证据。我们的结果铺平了对量子模拟器快速争夺和量子重力方面的实验研究的道路。
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 tractable 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 pave the way towards experimental investigations of fast scrambling and aspects of quantum gravity with quantum simulators.
