Topological Defects on the Lattice - From Ising Models to Floquet Systems

Explore a 59-minute conference talk from the Arithmetic Quantum Field Theory Conference where Brookhaven National Lab researcher Fei Yan delves into the fascinating world of topological defects and their lattice implementations. Discover how these mathematically rich structures influence condensed matter physics, high energy theory, and quantum information science. Learn about practical lattice realizations of topological defects in one-dimensional systems, with specific focus on the transverse field Ising model and three-state Potts model as illustrative examples. Gain insights into the theoretical implications of these implementations and their potential applications in quantum simulation. The presentation concludes with a discussion of topological defects in non-equilibrium systems, particularly examining their behavior in periodically-driven Floquet systems.