Classical nuclear motion coupled to electronic non-adiabatic transitions
arXiv:1406.5126 · doi:10.1063/1.4902225
Abstract
We present a detailed derivation and numerical tests of a new mixed quantum-classical scheme to deal with non-adiabatic processes. The method is presented as the zero-th order approximation to the exact coupled dynamics of electrons and nuclei offered by the factorization of the electron-nuclear wave function [A. Abedi, N. T. Maitra and E. K. U. Gross, Phys. Rev. Lett., 105 (2010)]. Numerical results are presented for a model system for non-adiabatic charge transfer in order to test the performance of the method and to validate the underlying approximations.
arXiv comment33 pages, 12 figures
References in corpus (8)
- Exact factorization of the time-dependent electron-nuclear wavefunction
- Methods for molecular dynamics with nonadiabatic transitions
- Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction
- Current-induced atomic dynamics, instabilities, and Raman signals: Quasi-classical Langevin equation approach
- Mixed quantum-classical dynamics from the exact decomposition of electron-nuclear motion
- Mixed quantum-classical dynamics on the exact time-dependent potential energy surface: A fresh look at non-adiabatic processes
- Reply to "Comment on 'Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction' [J. Chem. Phys. 137, 22A530 (2012) ]''
- Comment on "Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction" [J. Chem. Phys. 137, 22A530 (2012)]
Cited by in corpus (23)
- A coupled-trajectory quantum-classical approach to decoherence in non-adiabatic processes
- The exact forces on classical nuclei in non-adiabatic charge transfer
- Nuclear velocity perturbation theory for vibrational circular dichroism: An approach based on the exact factorization of the electron-nuclear wave function
- On the identity of the identity operator in nonadiabatic linearized semiclassical dynamics
- Exact factorization-based density functional theory of electrons and nuclei
- On the mass of atoms in molecules: Beyond the Born-Oppenheimer approximation
- The adiabatic limit of the exact factorization of the electron-nuclear wave function
- Improved population operators for multi-state nonadiabatic dynamics with the mixed quantum-classical mapping approach
- Ultrafast dynamics with the exact factorization
- An Exact Factorization Perspective on Quantum Interferences in Nonadiabatic Dynamics
- Semiclassical analysis of the electron-nuclear coupling in electronic non-adiabatic processes
- Shedding Light on Correlated Electron-Photon States using the Exact Factorization
- Bohmian mechanics in the exact factorization of electron-nuclear wavefunction
- Energy, Momentum and Angular Momentum Transfer Between Electrons and Nuclei
- Quantum-classical nonadiabatic dynamics of Floquet driven systems
- Multi-State Trajectory Approach to Non-Adiabatic Dynamics: General Formalism and the Active State Trajectory Approximation
- Effective nonlinear Ehrenfest hybrid quantum-classical dynamics
- Performance of trajectory surface hopping method in the treatment of ultrafast intersystem crossing dynamics
- Geometric energy transfer in two-component systems
- Hybrid Koopman C*-formalism and the hybrid quantum-classical master equation
- Nucleus-electron correlation revising molecular bonding fingerprints from the exact wavefunction factorization
- Electronic decoherence along a single nuclear trajectory
- Electron Transfer, Diabatic Couplings and Vibronic Energy Gaps in a Phase Space Electronic Structure Framework