Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems

Picano A, Grandi F, Werner P, Eckstein M (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 108

Article Number: 035115

Journal Issue: 3

DOI: 10.1103/PhysRevB.108.035115


We discuss a semiclassical approach to solve the quantum impurity model within nonequilibrium 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 nonperturbative quantum Boltzmann equation, the approach can be used to address the coupled dynamics of the electrons and the lattice during photoinduced 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 multiorbital systems.

Authors with CRIS profile

Involved external institutions

How to cite


Picano, A., Grandi, F., Werner, P., & Eckstein, M. (2023). Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems. Physical Review B, 108(3).


Picano, Antonio, et al. "Stochastic semiclassical theory for nonequilibrium electron-phonon coupled systems." Physical Review B 108.3 (2023).

BibTeX: Download