Unified formulation of phase space map** approaches for nonadiabatic quantum dynamics

J Liu, X He, B Wu - Accounts of chemical research, 2021 - ACS Publications
Conspectus Nonadiabatic dynamical processes are one of the most important quantum
mechanical phenomena in chemical, materials, biological, and environmental molecular …

A map** approach to surface hop**

JR Mannouch, JO Richardson - The Journal of Chemical Physics, 2023 - pubs.aip.org
We present a nonadiabatic classical-trajectory approach that offers the best of both worlds
between fewest-switches surface hop** (FSSH) and quasiclassical map** dynamics …

[HTML][HTML] A partially linearized spin-map** approach for simulating nonlinear optical spectra

JR Mannouch, JO Richardson - The Journal of Chemical Physics, 2022 - pubs.aip.org
We present a partially linearized method based on spin-map** for computing both linear
and nonlinear optical spectra. As observables are obtained from ensembles of classical …

A new perspective for nonadiabatic dynamics with phase space map** models

X He, J Liu - The Journal of Chemical Physics, 2019 - pubs.aip.org
Based on the recently developed unified theoretical framework [J. Liu, J. Chem. Phys. 145
(20), 204105 (2016)], we propose a new perspective for studying nonadiabatic dynamics …

A unified theoretical framework for map** models for the multi-state Hamiltonian

J Liu - The Journal of Chemical Physics, 2016 - pubs.aip.org
We propose a new unified theoretical framework to construct equivalent representations of
the multi-state Hamiltonian operator and present several approaches for the map** onto …

Commutator matrix in phase space map** models for nonadiabatic quantum dynamics

X He, B Wu, Z Gong, J Liu - The Journal of Physical Chemistry A, 2021 - ACS Publications
We show that a novel, general phase space map** Hamiltonian for nonadiabatic systems,
which is reminiscent of the renowned Meyer–Miller map** Hamiltonian, involves a …

Isomorphism between the multi-state Hamiltonian and the second-quantized many-electron Hamiltonian with only 1-electron interactions

J Liu - The Journal of Chemical Physics, 2017 - pubs.aip.org
We introduce the isomorphism between an multi-state Hamiltonian and the second-
quantized many-electron Hamiltonian (with only 1-electron interactions). This suggests that …

A derivation of the conditions under which bosonic operators exactly capture fermionic structure and dynamics

A Montoya-Castillo, TE Markland - The Journal of Chemical Physics, 2023 - pubs.aip.org
The dynamics of many-body fermionic systems are important in problems ranging from
catalytic reactions at electrochemical surfaces to transport through nanojunctions and offer a …

Electron transfer at electrode interfaces via a straightforward quasiclassical fermionic map** approach

KA Jung, J Kelly, TE Markland - The Journal of Chemical Physics, 2023 - pubs.aip.org
Electron transfer at electrode interfaces to molecules in solution or at the electrode surface
plays a vital role in numerous technological processes. However, treating these processes …