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.

arXiv comment17 pages, 4 figures

References in corpus (35)

• A continuous-time solver for quantum impurity models
• Nonequilibrium dynamical mean-field theory and its applications
• Ultrafast switching to a stable hidden topologically protected quantum state in an electronic crystal
• Keldysh Field Theory for Driven Open Quantum Systems
• The Holstein Polaron
• Light-Induced Charge Density Wave in LaTe${}_3$
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Disentangling amplitude and phase dynamics of a charge density wave in a photo-induced phase transition
• Efficient DMFT-simulation of the Holstein-Hubbard Model
• Diagrammatic Determinantal methods: projective schemes and applications to the Hubbard-Holstein model
• NESSi: The Non-Equilibrium Systems Simulation package
• Metal-insulator transition in the one-dimensional Holstein model at half filling
• Ultrafast jamming of electrons into an amorphous entangled state
• Quantum Dynamics of the Hubbard-Holstein Model in Equilibrium and Non-Equilibrium: Application to Pump-Probe Phenomena
• Unraveling the Mott-Peierls intrigue in Vanadium dioxide
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Real-time decay of a highly excited charge carrier in the one-dimensional Holstein model
• Semiclassical analysis of the Nonequilibrium Local Polaron
• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Field-induced polaron formation in the Holstein-Hubbard model
• Nonequilibrium Charge-Density-Wave Order Beyond the Thermal Limit
• The Anderson--Holstein Model in Two Flavors of the Non--Crossing Approximation
• Quantum Dynamics of a Driven Correlated System Coupled to Phonons
• Finite-temperature density-matrix renormalization group method for electron-phonon systems: Thermodynamics and Holstein-polaron spectral functions
• Coupling-dependent rates of energy transfers from photoexcited Mott insulators to lattice vibrations
• Luttinger parameters and momentum distribution function for the half-filled spinless fermion Holstein model: A DMRG approach
• A quantum Boltzmann equation for strongly correlated electrons
• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Ultrafast Mott transition driven by nonlinear electron-phonon interaction
• Multi-mode excitation drives disorder during the ultrafast melting of a C4-symmetry-broken phase
• Inhomogeneous disordering at a photo-induced charge density wave transition
• Probing the fluctuations of the optical properties in time-resolved spectroscopy
• Real-time evolution of static electron-phonon models in time-dependent electric fields
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Nonequilibrium thermal state of a voltage-biased Mott insulator

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