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

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We developed an exact Monte Carlo method for simulating electron-phonon dynamics in the adiabatic limit. This approach accurately models charge-density-wave systems under pulsed electric fields, crucial for pump-probe experiments.

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Area of Science:

  • Condensed Matter Physics
  • Quantum Dynamics
  • Computational Physics

Background:

  • Electron-phonon interactions are fundamental to many condensed matter phenomena.
  • Simulating nonequilibrium dynamics in these systems is computationally challenging.
  • The adiabatic limit offers a simplified yet relevant regime for study.

Purpose of the Study:

  • To develop an exact Monte Carlo method for simulating nonequilibrium electron-phonon dynamics.
  • To apply this method to charge-density-wave systems under pulsed electric fields.
  • To investigate the response of the Holstein model in one and two dimensions.

Main Methods:

  • Exact Monte Carlo simulation in the adiabatic limit (zero phonon frequency).
  • Classical sampling of equilibrium phonon distributions.
  • Efficient time-dependent evolution of the electronic subsystem in electromagnetic fields.
  • Calculation of current, energy, and photoemission spectra.

Main Results:

  • The method accurately simulates nonequilibrium dynamics for electron-phonon models.
  • Demonstrated utility for charge-density-wave systems in pump-probe scenarios.
  • Calculated out-of-equilibrium responses and photoemission spectra for the Holstein model.
  • Controlled finite-size effects for system sizes up to 162 sites (1D) and 16x16 lattices (2D).

Conclusions:

  • The developed Monte Carlo method provides an exact and efficient tool for studying nonequilibrium electron-phonon dynamics.
  • This approach is particularly valuable for understanding phenomena like charge-density waves under external fields.
  • The findings offer insights into experimental techniques such as pump-probe spectroscopy.