Talks

Characterization of quantum many-body phases through entanglement and non-equilibrium dynamics, such as thermalization, has become a major area of research in recent years. I will discuss calculations of subsystem Renyi entropy in SYK and related models in the large-N limit, mainly based on a new path integral method for computing entanglement entropy of interacting fermions. I will then discuss the non-equilibrium dynamics of SYK models within large-N Schwinger-Keldysh field theory and using finite-N numerics, starting from different types of non-equilibrium initial conditions, like after sudden or slow quenches in the Fermi liquid (FL), non-Fermi liquid (NFL) phases and across NFL-FL transition, as well as starting from a generic pure product state. 

Motivated by SYK model, there have been a lot of activities to understand quantum dynamics in interacting systems via many-body quantum chaos and describe a variety of quantum phases, e.g., heavy Fermi liquids, marginal and non-Fermi liquid, correlated superconductors, etc., through generalizations of the SYK model. I will first discuss some quantum spin glass models related to the SYK model and the characterization of their dynamics through chaos. I will then discuss some lattice and higher-dimensional generalizations of the SYK model to understand higher-dimensional non-Fermi liquids, such as strange metals and other correlated phases.