A system's entanglement structure can provide deep insights into a quantum phase of matter. After introducing the von Neumann entanglement entropy, I will discuss area laws and their violations in the ground states of quantum many-body systems, focusing on rigorously-proven results as well as simple examples which can guide intuition. I also plan to introduce a generalization of the von Neumann entropy known as the Renyi entropy, after which I will discuss its special applications in analytics, numerics, and experimental protocols for measuring entanglement. Time permitting, I will give a brief introduction to matrix product state methods and discuss their role in simulating 1D systems with low entanglement.
(The JQI summer school is for students and postdocs, but others are welcome to join for refreshments and snacks afterward; Discussion with refreshments and snacks at 5:00 pm)
