Cavity-QED simulator of slow and fast scrambling

We study information scrambling, as diagnosed by the out-of-time order correlations (OTOCs), in a system of large spins collectively interacting via spatially inhomogeneous and incommensurate exchange couplings. The model is realizable in a cavity QED system in the dispersive regime. Fast scrambling, signaled by an exponential growth of the OTOCs, is observed when the couplings do not factoriZe into the product of a pair of local interaction...