Many-Body Quantum Interference and the Saturation of Out-of-Time-Order Correlators

Out-of-time-order correlators (OTOCs) have been proposed as sensitive probes for chaos in interacting quantum systems. They exhibit a characteristic classical exponential growth, but saturate beyond the so-called scrambling or Ehrenfest time \tau_{\rm E}in the quantum correlated regime. Here we present a path-integral approach for the entire time evolution of OTOCs for bosonic Nparticle systems. We first show how the growth of OTOCs up to...