Waves, Disorder and Interactions: A Physicist's Perspective

Explore the fascinating world of Anderson localization and its implications for quantum particles in this lecture by Thierry Giamarchi. Delve into the groundbreaking work of P. W. Anderson from 1958, which revealed how random potentials drastically alter the solutions of wave equations like the Schrödinger equation. Examine the transition from plane waves to localized states and understand the concept of a single quantum particle becoming localized in a random landscape. Investigate the crucial question of how this phenomenon changes when considering multiple interacting quantum particles, as relevant to various experimental scenarios. Gain an overview of these phenomena and learn about the current challenges in the field from a physicist's perspective. While the talk does not present formal theorems, it offers intriguing "unproven" results and potential "conjectures" that may spark curiosity in those inclined towards more rigorous approaches.