Scrambling Dynamics and Out-of-Time Ordered Correlators in Quantum Many-Body Systems: a Tutorial

Understand

This tutorial article introduces the physics of quantum information scrambling in quantum many-body systems.

• The goals are to understand how to precisely quantify the spreading of quantum information and how causality emerges in complex quantum systems.
• We introduce a general framework to study the dynamics of quantum information, including detection and decoding.
• We show that the dynamics of quantum information is closely related to operator dynamics in the Heisenberg picture, and, under certain circumstances, can be precisely quantified by the so-called out-of-time ordered correlator~(OTOC).