Out-of-Time Order Correlators, OTOCs for short, turned out to be a helpful tool for studying chaos in quantum systems. Short-time behavior of OTOCs has been linked to the classical Lyapunov exponent (rate of separation of close classical trajectories, the socalled Butterfly effect).
Their long-time behavior hints at the amount of chaos in the system. The universality of OTOCs stems from their applicability to general quantum systems, such as spin chains, many-body systems, and black holes.
This presentation briefly introduces OTOCs and their application in studying quantum many-body systems