Quantum Information Dynamics

To address this question, we develop a theoretical framework to analyze the quantum information spreading in many-body chaotic system. We build up the connection between quantum information spreading and classical stochastic height growth model governed by some master equation. By studying these classical models, we can explore the information dynamics in various interacting quantum system.

Local interaction: linear light cone

In system with conservation law, the spreading of quantum information can be much slower in highly polarized sector.

All-to-All interaction

Long range interaction

This model exhibits rich phase diagram in terms of information spreading

Numerical simulation on classical height model and mean field theory in the large N limit

Levy flight argument and numerical simulation on quantum spin chain