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

RWTH Publications (RWTH Aachen)

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.

Authors 4

1. Antonio Picano

   Friedrich-Alexander-Universität Erlangen-Nürnberg

   Affiliation as printed

   Department of Physics , University of Erlangen-Nuremberg , Staudtstraße 7 , 91058 Erlangen , Germany

2. Francesco Grandi Aachen Institute for Theory of Statistical Physics

   Friedrich-Alexander-Universität Erlangen-Nürnberg · RWTH Aachen University

   Affiliation as printed

   Department of Physics , University of Erlangen-Nuremberg , Staudtstraße 7 , 91058 Erlangen , Germany

   Institute for Theory of Statistical Physics , RWTH Aachen University , 52056 Aachen , Germany

3. Philipp Werner

   University of Fribourg

   Affiliation as printed

   Department of Physics , University of Fribourg , 1700 Fribourg , Switzerland

4. MARTIN C. ECKSTEIN

   Friedrich-Alexander-Universität Erlangen-Nürnberg

   Affiliation as printed

   Department of Physics , University of Erlangen-Nuremberg , Staudtstraße 7 , 91058 Erlangen , Germany