Path Integrals: Quantum Fluids

This lecture by the instructor covers the topic of Path Integrals for bosons and fermions, focusing on the imaginary time dynamics of quantum fluids like liquid helium. It explains the concept of distinguishable atoms as ring polymers, the exchange picture in superfluid transitions, and the bisection method for sampling paths. The lecture delves into the implications of winding numbers, permutation distributions, and the fixed-node method in the context of superfluidity and Bose-Einstein condensation. Additionally, it discusses the quantum-classical isomorphism and the significance of the sign problem in Fermion Path Integrals.