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Delve into the second lecture of a three-part series on dynamical quantum chaos in many-body systems, presented by Horacio Pastawsk from Universidad Nacional de Córdoba-CONICET, Argentina. Explore the experimental quest for the origin of irreversibility, focusing on Loschmidt Echoes and Out of Time Order Correlators. This 1 hour and 34 minute talk, part of the ICTP-SAIFR School on Quantum Chaos held from August 21 to September 1, 2023, offers an in-depth examination of these complex concepts. Gain valuable insights into the intersection of quantum mechanics and chaos theory, and understand how these principles contribute to our understanding of irreversibility in physical systems.