Real-time evolution of static electron-phonon models in time-dependent electric fields

Abstract

We present an exact Monte Carlo method to simulate the nonequilibrium dynamics of electron-phonon models in the adiabatic limit of zero phonon frequency. The classical nature of the phonons allows us to sample the equilibrium phonon distribution and efficiently evolve the electronic subsystem in a time-dependent electromagnetic field for each phonon configuration. We demonstrate that our approach is particularly useful for charge-density-wave systems experiencing pulsed electric fields, as they appear in pump-probe experiments. For the half-filled Holstein model in one and two dimensions, we calculate the out-of-equilibrium response of the current and the energy after a pulse is applied as well as the photoemission spectrum before and after the pump. Finite-size effects are under control for chains of $162$ sites (in one dimension) or $16\times 16$ square lattices (in two dimensions).

11 pages, 6 figures

References in corpus (9)

• Electrodynamics of Correlated Electron Materials
• Theoretical description of time-resolved photoemission spectroscopy: application to pump-probe experiments
• Vaporization of Kitaev spin liquids
• Interaction quench in the Holstein model: Thermalization crossover from electron- to phonon-dominated relaxation
• Field-induced polaron formation in the Holstein-Hubbard model
• Superconductivity, charge-density waves, antiferromagnetism, and phase separation in the Hubbard-Holstein model
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• Photoinduced melting of charge order in a quarter-filled electron system coupled with different types of phonons
• Time-domain pumping a quantum-critical charge-density-wave-ordered material

Cited by in corpus (5)

• Real-time non-adiabatic dynamics in the one-dimensional Holstein model: Trajectory-based vs exact methods
• Quench dynamics in higher-dimensional Holstein models: Insights from Truncated Wigner Approaches
• Stochastic semiclassical theory for non-equilibrium electron-phonon coupled systems
• Thermal and optical conductivity in the Holstein model at half filling and at finite temperature in the Luttinger-liquid and charge-density-wave regime
• Nonequilibrium dynamics of suppression, revival, and loss of charge order in a laser pumped electron-phonon system