Quantum Information Scrambling in Nonlinear Systems

Quantum information scrambling describes the spread and delocalization of quantum information throughout information bearing degrees of freedom, such that the information becomes irretrievable by means of local measurements. We study this phenomenon in harmonic oscillators with nonlinear coupling. In particular, we study the behavior of Out-of-Time Ordered Correlators to analytically quantify for which parameters of the Hamiltonian the dynamics exhibit scrambling or quantum chaos. We illustrate our results in models that are classically chaotic and represent a reduction of Yang-Mills-Higgs theory.