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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Computational physics

Background:

  • Simulating open and correlated quantum systems out of equilibrium is computationally challenging.
  • Real-time characterization of ultrafast quantum phenomena requires efficient theoretical methods.

Purpose of the Study:

  • To present a novel time-linear scaling method for simulating open and correlated quantum systems out of equilibrium.
  • To enable the real-time characterization of correlated ultrafast phenomena in quantum transport.

Main Methods:

  • The method utilizes many-body perturbation theory to selectively include relevant scattering processes.
  • Open system dynamics are described using an "embedding correlator" and the Meir-Wingreen formula for time-dependent current.
  • The approach is efficiently implemented by integrating with existing time-linear Green's function methods for closed systems.

Main Results:

  • The proposed method achieves time-linear scaling for simulating open and correlated quantum systems.
  • It allows for the selective inclusion of scattering processes, crucial for understanding complex dynamics.
  • Electron-electron and electron-phonon interactions are treated simultaneously while conserving fundamental laws.

Conclusions:

  • The developed method provides an efficient and accurate way to simulate non-equilibrium quantum dynamics.
  • It opens new avenues for studying ultrafast phenomena in quantum transport and correlated systems.
  • The approach preserves fundamental conservation laws, ensuring physical consistency.