The Ising Model and Its Quantum Interface Dynamics - A Centennial Perspective

Explore the enduring relevance of the Ising model in its quantum version on a square lattice through this 47-minute conference talk delivered at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the evolution of coexisting ferromagnetic domains and their significance in understanding quantum nucleation dynamics and false-vacuum decay. Discover how a smooth quantum-fluctuating interface delimiting a large two-dimensional domain can be studied using a "holographic" mapping to a one-dimensional model of integrable fermionic particles. Examine the interesting connections between this model's dynamics and notable results in mathematics and classical statistical physics. Investigate the interface dynamics on the lattice and in a continuum limit, and consider evidence for non-ergodic dynamics due to Stark localization of fermions. Reflect on the implications of these findings and their persistence beyond the infinite-Ising-coupling limit in this comprehensive exploration of the Ising model's continued relevance in its centennial year.