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Title: Energy-conserving coupled trajectory mixed quantum–classical dynamics

Journal Article · · Journal of Chemical Physics
DOI: https://doi.org/10.1063/5.0149116 · OSTI ID:1971519

The coupled-trajectory mixed quantum–classical method (CTMQC), derived from the exact factorization approach, has successfully predicted photo-chemical dynamics in a number of interesting molecules, capturing population transfer and decoherence from first principles. However, due to the approximations made, CTMQC does not guarantee energy conservation. We propose a modified algorithm, CTMQC-E, which redefines the integrated force in the coupled-trajectory term so to restore energy conservation, and demonstrate its accuracy on scattering in Tully’s extended coupling region model and photoisomerization in a retinal chromophore model.

Research Organization:
Rutgers Univ., Newark, NJ (United States); Princeton Univ., NJ (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES). Chemical Sciences, Geosciences & Biosciences Division (CSGB); USDOE
Grant/Contract Number:
SC0019394; SC0020044
OSTI ID:
1971519
Alternate ID(s):
OSTI ID: 1994176
Journal Information:
Journal of Chemical Physics, Vol. 158, Issue 16; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English

References (46)

Variational marginal amplitudes journal June 1982
On the adiabatic representation of Meyer-Miller electronic-nuclear dynamics journal August 2017
Local-in-Time Error in Variational Quantum Dynamics journal April 2020
The Ultrafast Photoisomerizations of Rhodopsin and Bathorhodopsin Are Modulated by Bond Length Alternation and HOOP Driven Electronic Effects
  • Schapiro, Igor; Ryazantsev, Mikhail Nikolaevich; Frutos, Luis Manuel
  • Journal of the American Chemical Society, Vol. 133, Issue 10 https://doi.org/10.1021/ja1056196
journal March 2011
Study of the Decoherence Correction Derived from the Exact Factorization Approach for Nonadiabatic Dynamics journal June 2021
Sampling excited state dynamics: influence of HOOP mode excitations in a retinal model journal January 2012
Coupled- and Independent-Trajectory Approaches Based on the Exact Factorization Using the PyUNIxMD Package journal January 2022
Understanding the Surface Hopping View of Electronic Transitions and Decoherence journal May 2016
Nodeless wave functions and spiky potentials journal May 1981
Non-adiabatic dynamics of ring opening in cyclohexa-1,3-diene described by an ensemble density-functional theory method journal June 2018
Wave function continuity and the diagonal Born-Oppenheimer correction at conical intersections journal May 2016
Ultrafast dynamics with the exact factorization journal September 2021
Mixed quantum–classical dynamics journal January 1998
Mapping the Excited State Potential Energy Surface of a Retinal Chromophore Model with Multireference and Equation-of-Motion Coupled-Cluster Methods journal September 2013
Fulgides as Light-Driven Molecular Rotary Motors: Computational Design of a Prototype Compound journal August 2018
Relationship between Excited State Lifetime and Isomerization Quantum Yield in Animal Rhodopsins: Beyond the One-Dimensional Landau–Zener Model journal May 2018
Velocity Adjustment in Surface Hopping: Ethylene as a Case Study of the Maximum Error Caused by Direction Choice journal April 2021
Correlated electron-nuclear dynamics: Exact factorization of the molecular wavefunction journal December 2012
Relaxation dynamics through a conical intersection: Quantum and quantum–classical studies journal January 2021
Recent Progress in Surface Hopping: 2011–2015 journal May 2016
Surface Hopping without Momentum Jumps: A Quantum-Trajectory-Based Approach to Nonadiabatic Dynamics journal January 2019
Conditional probability amplitudes in wave mechanics journal March 1975
Quantum-Classical Nonadiabatic Dynamics: Coupled- vs Independent-Trajectory Methods journal April 2016
Quantum and Quantum-Classical Studies of the Photoisomerization of a Retinal Chromophore Model journal September 2020
Surface Hopping Dynamics beyond Nonadiabatic Couplings for Quantum Coherence journal February 2018
Dynamic Electron Correlation Effects on the Ground State Potential Energy Surface of a Retinal Chromophore Model journal September 2012
Controlling energy conservation in quantum dynamics with independently moving basis functions: Application to multi-configuration Ehrenfest journal May 2022
Describing the photo-isomerization of a retinal chromophore model with coupled and quantum trajectories journal May 2022
Electronic non-adiabatic states: towards a density functional theory beyond the Born–Oppenheimer approximation
  • Gidopoulos, Nikitas I.; Gross, E. K. U.
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 372, Issue 2011 https://doi.org/10.1098/rsta.2013.0059
journal March 2014
Detailed balance, internal consistency, and energy conservation in fragment orbital-based surface hopping journal December 2017
Critical appraisal of the fewest switches algorithm for surface hopping journal April 2007
Nodeless wave function quantum theory journal January 1980
Exact Factorization Adventures: A Promising Approach for Non-Bound States journal June 2022
Recent Advances and Perspectives on Nonadiabatic Mixed Quantum–Classical Dynamics journal April 2018
Ionization potentials and conditional amplitudes journal January 1975
PyUNIxMD : A Python‐based excited state molecular dynamics package journal July 2021
Ab Initio Nonadiabatic Dynamics with Coupled Trajectories: A Rigorous Approach to Quantum (De)Coherence journal June 2017
Exact-Factorization-Based Surface Hopping for Multistate Dynamics journal February 2022
Nonadiabatic Dynamics with Coupled Trajectories journal September 2021
The adiabatic limit of the exact factorization of the electron-nuclear wave function journal August 2016
The exact forces on classical nuclei in non-adiabatic charge transfer journal February 2015
Molecular dynamics with electronic transitions journal July 1990
CT-MQC – a coupled-trajectory mixed quantum/classical method including nonadiabatic quantum coherence effects journal July 2018
Independent trajectory mixed quantum-classical approaches based on the exact factorization journal May 2022
Two-State, Three-Mode Parametrization of the Force Field of a Retinal Chromophore Model journal February 2019
Surface Hopping by Consensus journal June 2016