Quantum Quench Dynamics in an Exactly Solvable Two-Dimensional Non-Fermi Liquid System

Abstract

Understanding the behavior of non-Fermi liquids (NFLs) is an important topic in condensed matter physics. Here we introduce an exactly solvable multi-orbital model based on iron oxypnictides and the Hatsugai-Kohmoto model, and provide exact investigations of the 2D NFLs nonequilibrium physics present in this model. Our results reveal fundamental departures from Fermi liquids and prior NFLs in the well-know SYK model: anomalous short-time scaling $-\tau^2 \ln \tau$, $O(\tau) \sim \tau^2$; long-time scaling $ \tau^{-1}, \tau^{-1/2}, \ln \tau / \tau$; a strange critical behavior in the steady-state phase diagram. Our asymptotic results and dynamical critical behavior offer new insights into the orbital-related dynamical physics of 2D NFLs.