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

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 $-τ^2 \ln τ$, $O(τ) \sim τ^2$; long-time scaling $ τ^{-1}, τ^{-1/2}, \ln τ/ τ$; 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.