Post-quench relaxation dynamics of Gross-Neveu lattice fermions

We study the quantum relaxation dynamics for a lattice version of the one-dimensional (1D) N-flavor Gross-Neveu (GN) model after a Hamiltonian parameter quench. Allowing for a system-reservoir coupling γ, we numerically describe the system dynamics through a time-dependent self-consistent Lindblad master equation. For a closed $γ=0$ finite-size system subjected to an interaction parameter quench, the order parameter dynamics exhibits oscillations and revivals. In the thermodynamic limit, our results imply that the order parameter reaches its post-quench stationary value in accordance with the eigenstate thermalization hypothesis (ETH). However, time-dependent finite-momentum correlation matrix elements equilibrate only if γ>0. Our findings highlight subtle yet important aspects of the post-quench relaxation dynamics of quantum many-body systems.