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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Published on: July 19, 2019

Quantum-classical path integral with self-consistent solvent-driven reference propagators.

Tuseeta Banerjee1, Nancy Makri

  • 1Department of Chemistry, University of Illinois , 600 S. Goodwin Avenue, Urbana, Illinois 61801, United States.

The Journal of Physical Chemistry. B
|July 30, 2013
PubMed
Summary
This summary is machine-generated.

Efficient quantum-classical path integral (QCPI) methods use trajectory-specific Hamiltonians to accurately model quantum system dynamics influenced by classical solvents. This approach enhances computational efficiency and convergence for complex systems.

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Isotopic Effect in Double Proton Transfer Process of Porphycene Investigated by Enhanced QM/MM Method
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics
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Multiscale Sampling of a Heterogeneous Water/Metal Catalyst Interface using Density Functional Theory and Force-Field Molecular Dynamics

Published on: April 12, 2019

Area of Science:

  • Quantum chemistry
  • Computational physics
  • Chemical dynamics

Background:

  • Evaluating quantum-classical path integrals (QCPI) is computationally intensive.
  • Classical solvent degrees of freedom significantly impact quantum system dynamics.
  • Efficient methods are needed to handle the interplay between quantum systems and classical environments.

Purpose of the Study:

  • To develop efficient procedures for evaluating the quantum-classical path integral.
  • To introduce trajectory-specific reference Hamiltonians for improved accuracy and efficiency.
  • To enable larger time steps in quantum dynamics simulations.

Main Methods:

  • Identification of a trajectory-specific reference Hamiltonian.
  • Construction of a time-dependent system propagator valid for large time increments.
  • Inclusion of quantum memory effects via path integral representation of the density matrix.
  • Consideration of two reference schemes: classical path approximation and time-dependent self-consistent field (Ehrenfest) model.

Main Results:

  • Both reference schemes significantly increase the allowed path integral time step.
  • Rapid convergence of the path sum is achieved.
  • Time-dependent reference propagators effectively balance state-to-state coupling and solvent reorganization.
  • Enhanced convergence of the path integral for dissipative two-level systems.

Conclusions:

  • The developed QCPI procedures offer substantial improvements in computational efficiency.
  • The methods accurately capture the influence of classical solvents on quantum dynamics.
  • These advancements facilitate more accurate and faster simulations of quantum systems in condensed phases.