Entanglement Dynamics

Lecturer

Brian Swingle, Brandeis

Lecture Schedule

• Lecture 1 - Monday, June 14 - 3:45 - 5:00 p.m.

Foundations

1. Entanglement, measures, basic examples, bounds

2. Systems of interest - focus on chaotic and geometrically local systems; all-to-all, power law, integrable are also interesting

3. Phenomena of interest - spin chain example, entanglement growth in chaotic systems, key questions

Sampling of relevant references (definitely incomplete):

https://arxiv.org/abs/1304.5931

• Lecture 2 - Tuesday, June 15 - 3:45 - 5:00 p.m.

Effective Theory of Entanglement Growth

1. Models and methods - exact diagonalization, tensor network methods, replica trick, solvable models (AdS/CFT, random circuits, …)

2. Recap and basic intuition, a first step towards an effective theory

3. Random circuit model and KPZ universality

4. Entanglement membrane effective theory

Sampling of relevant references (definitely incomplete):

https://arxiv.org/abs/1305.7244

https://arxiv.org/abs/1608.06950

https://arxiv.org/abs/1803.00089

https://arxiv.org/abs/1803.10244

https://arxiv.org/abs/1912.12311

• Lecture 3 - Thursday, June 17 - 3:45 - 5:00 p.m.

• Lecture 4 - Thursday, June 18 - 3:45 - 5:00 p.m.