Imaginary-Time Path Integrals

This lecture introduces the concept of Imaginary-Time Path Integrals, focusing on the basics of statistical mechanics, classical and quantum systems, nuclear quantum effects, emergence of classical statistical mechanics, and the convergence of path integral simulations. The instructor covers the derivation of Path Integral Monte Carlo, the emergence of classical statistical mechanics, and the initialization of path integral simulations. The lecture also discusses the integration schemes for classical and path integral molecular dynamics, emphasizing the importance of convergence in path integral simulations.