On Integrable Quantum and Classical Circuits with Stochastic Boundaries - Lecture 1 of 3

Explore the first lecture in a three-part series on integrable quantum and classical circuit models presented by Tomaz Prosen from the University of Ljubljana as part of Harvard CMSA's program on Classical, quantum, and probabilistic integrable systems. This 66-minute lecture introduces Yang-Baxter integrable brickwork quantum circuit models and examines their integrability structure, including transfer matrices and conservation laws. Learn about the XXZ or unitary 6-vertex circuits which demonstrate an unusual connection to KPZ scaling at the isotropic (SU(2) symmetric) point. The presentation also establishes links to corresponding classical integrable Landau-Lifshitz circuits and discusses aspects of transport and full counting statistics in these systems.