Marcos Crichigno: Quantum Spin Chains and Symmetric Functions

Channel:

QuICS

Subscribers:

2,450

Published on July 9, 2024 10:59:35 PM ● Video Link: https://www.youtube.com/watch?v=VjoVyhE5xVU

Duration: 59:16

177 views

0

I’ll tell you how quantum spin chains, some of the simplest quantum mechanical systems, encode a number of solutions to problems in representation theory, combinatorics, and algebraic geometry. This is revealed by the quantum integrability of the spin chains and the theory of (quantized) symmetric functions. This suggests a program to uncover the computational complexity of these computational problems, informed by the physics of 1d quantum integrable systems.