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The mixed quantum-classical dynamical simulation is essential to study nonadiabatic phenomena in photophysics and photochemistry. In recent years, many machine learning models have been developed to accelerate the time evolution of the…

化学物理 · 物理学 2022-11-08 Diandong Tang , Luyang Jia , Lin Shen , Wei-Hai Fang

We demonstrate that, for systems with spin-orbit coupling and an odd number of electrons, the standard fewest switches surface hopping (FSSH) algorithm does not conserve the total linear or angular momentum. This lack of conservation arises…

化学物理 · 物理学 2023-11-29 Yanze Wu , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

Fewest-switches surface hopping (FSSH) is the most popular method for simulating photochemical processes of molecular systems. Recently, we have constructed long short-term memory (LSTM) networks as a propagator for electronic subsystems in…

化学物理 · 物理学 2026-05-25 Zhenxing Zhu , Diandong Tang , Lin Shen , Wei-Hai Fang

We present a nonadiabatic classical-trajectory approach that offers the best of both worlds between fewest-switches surface hopping (FSSH) and quasiclassical mapping dynamics. This mapping approach to surface hopping (MASH) propagates the…

化学物理 · 物理学 2023-03-29 Jonathan R. Mannouch , Jeremy O. Richardson

Trajectory surface hopping (TSH) is one of the most widely used quantum-classical algorithms for nonadiabatic molecular dynamics. Despite its empirical effectiveness and popularity, a rigorous derivation of TSH as the classical limit of a…

化学物理 · 物理学 2013-01-11 J. M. Escartín , P. Romaniello , L. Stella , P. -G. Reinhard , E. Suraud

The capability of fewest-switches surface hopping (FSSH) to describe non-adiabatic dynamics of small and medium sized molecules under explicit excitation with external fields is evaluated. Different parameters in FSSH and combinations…

化学物理 · 物理学 2021-04-21 Moritz Heindl , Leticia González

While surface-hopping has emerged as a powerful method to simulate non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its…

化学物理 · 物理学 2024-01-17 Lucien Dupuy , Anton Rikus , Neepa T. Maitra

We investigate two well-known approaches for extending the fewest switches surface hopping (FSSH) algorithm to periodic time-dependent couplings. The first formalism acts as if the instantaneous adiabatic electronic states were standard…

化学物理 · 物理学 2019-10-07 Zeyu Zhou , Hsing-Ta Chen , Abraham Nitzan , Joseph Eli Subotnik

This study introduces the FSSH-2 scheme, a redefined and numerically stable adiabatic Fewest Switches Surface Hopping (FSSH) method for mixed quantum-classical dynamics. It reformulates the standard FSSH hopping probability without…

计算物理 · 物理学 2024-01-19 Leonardo Araujo , Caroline Lasser , Burkhard Schmidt

Fewest-switches surface hopping is studied in the context of quantum-classical Liouville dynamics. Both approaches are mixed quantum-classical theories that provide a way to describe and simulate the nonadiabatic quantum dynamics of…

量子物理 · 物理学 2016-05-27 Raymond Kapral

Fewest switches surface hopping (FSSH) is a well benchmarked dynamical method for simulating nonadiabatic systems. In particular, the literature shows that for the spin-Boson model Hamiltonian, FSSH with appropriate corrections usually…

量子物理 · 物理学 2025-12-30 Manas Nagda , Priyam Kumar De , Amber Jain

We perform extensive benchmark comparisons of surface hopping dynamics with numerically exact calculations for the spin-boson model over a wide range of energetic and coupling parameters as well as temperature. We find that deviations from…

介观与纳米尺度物理 · 物理学 2016-04-04 Hsing-Ta Chen , David R. Reichman

A new scheme is proposed for modeling molecular nonadiabatic dynamics near metal surfaces. The charge-transfer character of such dynamics is exploited to construct an efficient reduced representation for the electronic structure. In this…

化学物理 · 物理学 2020-09-24 Zuxin Jin , Joseph E. Subotnik

Ring Polymer Surface-Hopping (RPSH) has been recently introduced as a well-tailored method for incorporating nuclear quantum effects (NQEs), such as zero-point energy and tunneling, into non-adiabatic molecular dynamics simulations. The…

化学物理 · 物理学 2025-09-16 Dil K. Limbu , Farnaz A. Shakib

It is well known that fewest-switches surface hopping (FSSH) fails to correctly capture the quadratic scaling of rate constants with diabatic coupling in the weak-coupling limit, as expected from Fermi's golden rule and Marcus theory. To…

化学物理 · 物理学 2023-11-16 Joseph E. Lawrence , Jonathan R. Mannouch , Jeremy O. Richardson

We develop a surface hopping algorithm based on frozen Gaussian approximation for semiclassical matrix Schr\"odinger equations, in the spirit of Tully's fewest switches surface hopping method. The algorithm is asymptotically derived from…

数值分析 · 数学 2017-03-30 Jianfeng Lu , Zhennan Zhou

The powerful molecular dynamics (MD) simulation is basically based on a picture that the atoms experience classical-like trajectories under the exertion of classical force field determined by the quantum mechanically solved electronic…

化学物理 · 物理学 2013-12-16 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang

Fewest-switches surface hopping (FSSH) has emerged as one of the leading methods for modeling the quantum dynamics of molecular systems. While its original formulation was limited to adiabatic populations, the growing interest in the…

化学物理 · 物理学 2023-02-22 Anna S. Bondarenko , Roel Tempelaar

Nonadiabatic dynamics methods are an essential tool for investigating photochemical processes. In the context of employing first principles electronic structure techniques, such simulations can be carried out in a practical manner using…

化学物理 · 物理学 2024-05-08 Jonathan R. Mannouch , Aaron Kelly

We show how the dynamically nonlocal formulation of classical nuclear motion in the presence of quantal electronic transitions presented many years ago by Pechukas can be localized in time using time dependent perturbation theory to give an…

chem-ph · 物理学 2009-10-22 D. F. Coker , L. Xiao
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