Nonequilibrium dynamics of static electron-phonon models from Monte Carlo simulations

Electron-phonon interactions play an important role in the relaxation of strongly-correlated materials driven out of equilibrium. However, numerical simulation of microscopic models is often restricted to very small system sizes due to the unbound dimensions of the bosonic Hilbert space or requires approximative schemes (such as perturbation theory). In this talk, we present an exact Monte Carlo method to simulate the nonequilibrium dynamics of electron-phonon models in the adiabatic limit of zero phonon frequency. We show applications to the one-dimensional Holstein and Su-Schrieffer-Heeger models and probe the formation and destruction of the ordered Peierls phase as a function of initial temperature when the system experiences strong applied electric fields.