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This study introduces a novel stochastic surface hopping method for simulating quantum-classical systems. The new approach accurately captures quantum coherence and nonlocality in complex environments.

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Area of Science:

  • Quantum mechanics
  • Computational chemistry
  • Physical chemistry

Background:

  • Simulating mixed quantum-classical systems is computationally challenging.
  • Existing surface hopping methods often fail to capture full quantum coherence.

Purpose of the Study:

  • To develop a new, fully coherent stochastic surface hopping method.
  • To accurately simulate quantum evolution in both isolated and dissipative systems.

Main Methods:

  • Formulation in the Liouville representation using ensembles of trajectories.
  • Stochastic surface hops for diagonal density matrix elements.
  • A novel coherent stochastic hopping algorithm for off-diagonal coherences.

Main Results:

  • The method correctly simulates quantum evolution for a two-state system.
  • Accurate modeling of dissipative evolution in stationary and nonstationary environments.
  • The dynamics of ensembles are fully entangled, preserving quantum mechanical structure.

Conclusions:

  • The developed method offers a significant advancement in simulating mixed quantum-classical dynamics.
  • It accurately captures the coherent and nonlocal nature of quantum mechanics.
  • This approach provides a more robust tool for studying complex quantum systems.