Theory of Out of Time Ordered Correlators in the Hydrodynamic Regime

Explore the theoretical framework of Out of Time Ordered Correlators (OTOCs) within the hydrodynamic regime through this 30-minute conference talk by R. Mishra from the University of Chicago. Delve into the mathematical foundations and physical implications of OTOCs as diagnostic tools for quantum chaos and information scrambling in many-body systems. Learn how these correlators behave in the hydrodynamic limit, where collective modes dominate the system's dynamics, and understand their role in characterizing thermalization and equilibration processes. Examine the connection between hydrodynamic transport coefficients and the growth rates of OTOCs, providing insights into the relationship between classical transport phenomena and quantum information dynamics. Gain knowledge of analytical techniques used to compute OTOCs in effective field theories and their applications to understanding the onset of chaos in strongly correlated quantum systems. This presentation is part of the "Effective theories for many-body systems out of equilibrium" workshop organized by NCCR SwissMAP, focusing on cutting-edge developments in non-equilibrium statistical mechanics and quantum field theory.