Quantum Information Dynamics
How fast can a local perturbation spread over the entire system?
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.
In system with conservation law, the spreading of quantum information can be much slower in .
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Long range interaction
This model exhibits rich phase diagram in terms of information spreading
