Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems

Abstract

We discuss a semiclassical approach to solve the quantum impurity model within non-equilibrium dynamical mean-field theory for electron-lattice models. The effect of electronic fluctuations on the phonon is kept beyond Ehrenfest dynamics, leading to a stochastic phonon evolution with damping and noise terms that are self-consistently determined by the electronic correlation functions in the fluctuating phonon field. Together with a solution of the electronic model based on a non-perturbative quantum Boltzmann equation, the approach can be used to address the coupled dynamics of the electrons and the lattice during photo-induced phase transitions. Results for the Anderson-Holstein model are benchmarked against numerically exact quantum Monte Carlo data. We find good agreement for the phonon distribution function at temperatures comparable to the charge ordering temperature. The general formulation can be extended to models with electron-electron interactions or multi-orbital systems.

17 pages, 4 figures

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Cited by in corpus (4)

• Ultrafast lattice disordering can be accelerated by electronic collisional forces
• Impact of disorder and phonons on the Hubbard bands of Mott insulators in strong electric fields
• Nonthermal order by disorder
• Energy flow during relaxation in an electron-phonon system with multiple modes: A nonequilibrium Green's function study