skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A new symmetrical quasi-classical model for electronically non-adiabatic processes: Application to the case of weak non-adiabatic coupling

Journal Article · · Journal of Chemical Physics
DOI:https://doi.org/10.1063/1.4963914· OSTI ID:1377537
 [1];  [1]
  1. Univ. of California, Berkeley, CA (United States). Dept. of Chemistry. Center for Theoretical Chemistry; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Chemical Sciences Division

Previous work has shown how a symmetrical quasi-classical (SQC) windowing procedure can be used to quantize the initial and final electronic degrees of freedom in the Meyer-Miller (MM) classical vibronic (i.e, nuclear + electronic) Hamiltonian, and that the approach provides a very good description of electronically non-adiabatic processes within a standard classical molecular dynamics framework for a number of benchmark problems. This study explores application of the SQC/MM approach to the case of very weak non-adiabatic coupling between the electronic states, showing (as anticipated) how the standard SQC/MM approach used to date fails in this limit, and then devises a new SQC windowing scheme to deal with it. Finally, application of this new SQC model to a variety of realistic benchmark systems shows that the new model not only treats the weak coupling case extremely well, but it is also seen to describe the “normal” regime (of electronic transition probabilities ≳ 0.1) even more accurately than the previous “standard” model.

Research Organization:
Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES); National Science Foundation (NSF)
Grant/Contract Number:
AC02-05CH11231; CHE-1464647
OSTI ID:
1377537
Alternate ID(s):
OSTI ID: 1328956
Journal Information:
Journal of Chemical Physics, Vol. 145, Issue 14; ISSN 0021-9606
Publisher:
American Institute of Physics (AIP)Copyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 58 works
Citation information provided by
Web of Science

References (23)

Path integrals for dissipative systems by tensor multiplication. Condensed phase quantum dynamics for arbitrarily long time journal April 1994
A classical analog for electronic degrees of freedom in nonadiabatic collision processes journal April 1979
Electronically Nonadiabatic Dynamics via Semiclassical Initial Value Methods journal February 2009
A Symmetrical Quasi-Classical Spin-Mapping Model for the Electronic Degrees of Freedom in Non-Adiabatic Processes journal August 2015
Semiclassical Description of Nonadiabatic Quantum Dynamics journal January 1997
Systematic convergence in the dynamical hybrid approach for complex systems: A numerically exact methodology journal August 2001
Symmetrical windowing for quantum states in quasi-classical trajectory simulations: Application to electron transfer journal August 2014
The Semiclassical Initial Value Representation:  A Potentially Practical Way for Adding Quantum Effects to Classical Molecular Dynamics Simulations journal April 2001
Partial averaging in classical S-matrix theory. Vibrational excitation of H2 by He journal January 1973
Symmetrical windowing for quantum states in quasi-classical trajectory simulations: Application to electronically non-adiabatic processes journal December 2013
Quasiclassical trajectory method for molecular scattering processes: necessity of a weighted binning approach journal October 1997
Iterative quantum-classical path integral with dynamically consistent state hopping journal January 2016
The Symmetrical Quasi-Classical Model for Electronically Non-Adiabatic Processes Applied to Energy Transfer Dynamics in Site-Exciton Models of Light-Harvesting Complexes journal February 2016
A semiclassical self‐consistent‐field approach to dissipative dynamics. II. Internal conversion processes journal August 1995
Symmetrical Windowing for Quantum States in Quasi-Classical Trajectory Simulations journal March 2013
Molecular dynamics with electronic transitions journal July 1990
Communication: Note on detailed balance in symmetrical quasi-classical models for electronically non-adiabatic dynamics journal April 2015
Exchange Reactions with Activation Energy. I. Simple Barrier Potential for (H, H 2 ) journal November 1965
Classical S Matrix for Rotational Excitation; Quenching of Quantum Effects in Molecular Collisions journal June 1971
Classical description of nonadiabatic photoisomerization processes and their real‐time detection via femtosecond spectroscopy journal December 1995
Communication: Wigner functions in action-angle variables, Bohr-Sommerfeld quantization, the Heisenberg correspondence principle, and a symmetrical quasi-classical approach to the full electronic density matrix journal August 2016
Blip decomposition of the path integral: Exponential acceleration of real-time calculations on quantum dissipative systems journal October 2014
Unified treatment of quantum coherent and incoherent hopping dynamics in electronic energy transfer: Reduced hierarchy equation approach journal June 2009

Cited By (18)

Combining Meyer–Miller Hamiltonian with electronic structure methods for on-the-fly nonadiabatic dynamics simulations: implementation and application journal January 2019
Initial sampling in symmetrical quasiclassical dynamics based on Li–Miller mapping Hamiltonian journal January 2019
On the adiabatic representation of Meyer-Miller electronic-nuclear dynamics journal August 2017
A walk through the approximations of ab initio multiple spawning journal April 2018
Communication: Symmetrical quasi-classical analysis of linear optical spectroscopy journal May 2018
The symmetrical quasi-classical approach to electronically nonadiabatic dynamics applied to ultrafast exciton migration processes in semiconducting polymers journal July 2018
Performance evaluation of the symmetrical quasi-classical dynamics method based on Meyer-Miller mapping Hamiltonian in the treatment of site-exciton models journal November 2018
A modified approach for simulating electronically nonadiabatic dynamics via the generalized quantum master equation journal January 2019
A symmetrical quasi-classical windowing model for the molecular dynamics treatment of non-adiabatic processes involving many electronic states journal March 2019
Trajectory-adjusted electronic zero point energy in classical Meyer-Miller vibronic dynamics: Symmetrical quasiclassical application to photodissociation journal May 2019
State dependent ring polymer molecular dynamics for investigating excited nonadiabatic dynamics journal June 2019
Spin-mapping approach for nonadiabatic molecular dynamics journal July 2019
A new perspective for nonadiabatic dynamics with phase space mapping models journal July 2019
Combining the mapping Hamiltonian linearized semiclassical approach with the generalized quantum master equation to simulate electronically nonadiabatic molecular dynamics journal August 2019
Mixed quantum-classical electrodynamics: Understanding spontaneous decay and zero-point energy journal March 2018
Spin-mapping approach for nonadiabatic molecular dynamics text January 2019
Performance Evaluation of the Symmetrical Quasi-Classical Dynamics Method based on Meyer-Miller Mapping Hamiltonian in the Treatment of Site-Exciton Models text January 2018
Initial Sampling in Symmetrical Quasiclassical Dynamics Based on Li-Miller Mapping Hamiltonian text January 2018

Similar Records

The Symmetrical Quasi-Classical Model for Electronically Non-Adiabatic Processes Applied to Energy Transfer Dynamics in Site-Exciton Models of Light-Harvesting Complexes
Journal Article · Wed Jan 13 00:00:00 EST 2016 · Journal of Chemical Theory and Computation · OSTI ID:1377537

A Symmetrical Quasi-Classical Spin-Mapping Model for the Electronic Degrees of Freedom in Non-Adiabatic Processes
Journal Article · Mon Aug 24 00:00:00 EDT 2015 · Journal of Physical Chemistry. A, Molecules, Spectroscopy, Kinetics, Environment, and General Theory · OSTI ID:1377537

On the adiabatic representation of Meyer-Miller electronic-nuclear dynamics
Journal Article · Fri Aug 11 00:00:00 EDT 2017 · Journal of Chemical Physics · OSTI ID:1377537