I am organizing a working group on the mathematics of quantum spin systems. If you are interested in joining, please contact me by email first to check that you have the prerequisite. I expect a strong background in linear algebra (typically proof-based abilities on problems involving analysis, singular values and/or tensor products. Typically Math 318, 340 and 424 with excellent grades, equivalent classes, or personal experience). If joining, you will be expected to give a 1+hour long presentation. Topics to be covered
Interest and availability form
Pizza (with vegetarian options) is provided during our regular meetings, Tuesdays 12-2PM, LOW 102.
Spring 2026 schedule
April 7th - 12-2PM, LOW 102
Winter 2026 schedule
January 8th - 12-2PM in PDL C401 - Alexis Drouot: An introduction to quantum spin systems. Notes
January 22nd - 12-2PM in PDL C401 - Miles Mai: Reduced States and Observables on Subsystems. Notes
January 28th - 3:30-4:30PM in DEN 111 - AGD seminar by Matthew Hastings: Lieb-Robinson bounds and applications to quantum spin systems: how dynamics control statics.
January 29th - 12-2PM in MOR 234 - Shiang-Bin Chiu: Emergent Speed Limits from Locality: Lieb-Robinson Bounds. References (Chapter 3.1, 3.2)
February 5th - 12-2PM in MOR 234 - Yusen Ye: Gapped ground states have exponentially small correlations. References (Chapter 6.1), Notes
February 12th - 12-2PM in MOR 234 - Alexis Drouot: Hastings' ground state factorization. Lemma 1 of Hastings' area law paper; see also this paper. Notes
February 19th - 12-2PM in MOR 234 - Amelie Martin: Classical and quantum entropy. Notes on Shannon entropy. Notes on entanglement entropy.
See also the videos below by Lieb, Topics in Quantum Entropy and Entanglement, given at the Princeton Summer school on "Quantum Information and Computation"
February 19th - 4:30-6PM in PDL C38 - Alexis Drouot: Up, down, and all around: A gentle introduction to quantum spins systems.
February 26th - 12-2PM in MOR 234 - Dante Tjowasi: Bounds on Entanglement Entropy of Approximately Low-Schmidt Rank Ground States. Notes
March 5th - 12-2PM in MOR 234 - Liam Bonds: Hasting's Area Law for One Dimensional Quantum Systems. Notes