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Area of Science:

  • Quantum mechanics
  • Computational chemistry
  • Theoretical physics

Background:

  • Traditional quantum dynamics methods often rely on wavefunctions, which can be computationally intensive.
  • Describing both adiabatic and nonadiabatic processes within a single framework remains a challenge.
  • Existing methods for quantum dynamics without wavefunctions have limitations.

Purpose of the Study:

  • To develop a unified quantum dynamics method capable of describing both adiabatic and nonadiabatic processes.
  • To introduce a stable and accurate numerical scheme for quantum trajectory propagation.
  • To explore an alternative to wavefunction-based methods in quantum dynamics.

Main Methods:

  • A quantum dynamics method based on the propagation of interacting quantum trajectories.
  • Determining the quantum force from Bohmian hydrodynamic formulation using trajectory information.
  • A time-dependent propagation scheme for enhanced stability.
  • Combination with the exact factorization method for nonadiabatic regimes.

Main Results:

  • The proposed method successfully describes both adiabatic and nonadiabatic quantum dynamics.
  • The time-dependent propagation scheme demonstrates very stable dynamics.
  • The method's performance is validated on analytical potentials and in nonadiabatic scenarios.

Conclusions:

  • The interacting quantum trajectory method offers a robust and unified approach to quantum dynamics.
  • This wavefunction-free formalism provides a stable and efficient alternative for complex quantum systems.
  • The method shows promise for simulating a wide range of quantum phenomena.