Thermalization and Information Loss

This lecture delves into the concept of thermalization, focusing on the Eigenstate Thermalization Hypothesis (ETH) and its numerical testing in chaotic spin chains and integrable models. The instructor discusses the time average of correlation functions, fluctuations, and the relation between ETH and thermal equilibrium. The lecture also touches on information loss in black holes, exploring the decay of two-point functions and the spectral form factor. The discussion extends to the challenges in reconciling quantum mechanics with gravity, particularly in the context of ADS-CFT correspondence and the behavior of correlators at early and late times.