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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…

Chemical Physics · Physics 2019-10-07 Zeyu Zhou , Hsing-Ta Chen , Abraham Nitzan , Joseph Eli Subotnik

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…

Chemical Physics · Physics 2020-09-24 Zuxin Jin , Joseph E. Subotnik

Two-frequency (two-color) laser fields provide a powerful and flexible means for steering molecular dynamics. However, quantitatively reliable and scalable theoretical tools for simulating laser-driven nonadiabatic processes under such…

Chemical Physics · Physics 2026-01-08 Jiayue Han , Vahid Mosallanejad , Ruihao Bi , Wenjie Dou

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…

Chemical Physics · Physics 2023-03-29 Jonathan R. Mannouch , Jeremy O. Richardson

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…

Chemical Physics · Physics 2026-05-25 Zhenxing Zhu , Diandong Tang , Lin Shen , Wei-Hai Fang

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…

Chemical Physics · Physics 2021-04-21 Moritz Heindl , Leticia González

In the spirit of the fewest switches surface hopping, the frozen Gaussian approximation with surface hopping (FGA-SH) method samples a path integral representation of the non-adiabatic dynamics in the semiclassical regime. An improved…

Chemical Physics · Physics 2016-10-12 Jianfeng Lu , Zhennan Zhou

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…

Quantum Physics · Physics 2025-12-30 Manas Nagda , Priyam Kumar De , Amber Jain

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…

Chemical Physics · Physics 2023-02-22 Anna S. Bondarenko , Roel Tempelaar

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…

Mesoscale and Nanoscale Physics · Physics 2016-04-04 Hsing-Ta Chen , David R. Reichman

We develop a Floquet surface hopping (FSH) approach to deal with nonadiabatic dynamics of molecules near metal surfaces subjected to time-periodic drivings from strong light-matter interactions. The method is based on a Floquet classical…

Quantum Physics · Physics 2023-06-21 Yu Wang , Wenjie Dou

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…

Chemical Physics · Physics 2023-11-29 Yanze Wu , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

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…

Quantum Physics · Physics 2016-05-27 Raymond Kapral

Recently, the mapping approach to surface hopping (MASH) was proposed as a method to simulate the non-adiabatic dynamics of two-level systems. It was shown that the method possesses many desirable qualities, both theoretically and through…

Chemical Physics · Physics 2025-07-08 Jan Vavřín

We develop a multi-state generalisation of the recently proposed mapping approach to surface hopping (MASH) for the simulation of electronically nonadiabatic dynamics. This new approach extends the original MASH method to be able to treat…

Chemical Physics · Physics 2024-03-19 Joseph E. Lawrence , Jonathan R. Mannouch , Jeremy O. Richardson

The fewest switches surface hopping (FSSH) method proposed by Tully in 1990 [J. C Tully, J. Chem. Phys. 93, 1061 (1990)] -- along with its many later variations -- is basis for most practical simulations of molecular dynamics with…

Quantum Physics · Physics 2023-09-27 Dorothy Miaoyu Huang , Austin T. Green , Craig C. Martens

Surface hopping algorithms, as an important class of quantum dynamics simulation algorithms for non-adiabatic dynamics, are typically performed in the adiabatic representation, which can break down in the presence of ill-defined adiabatic…

Numerical Analysis · Mathematics 2022-05-06 Zhenning Cai , Di Fang , Jianfeng Lu

Accurate simulation the many-electronic nonadiabatic dynamics process at metal surfaces remains as a significant task. In this work, we present an orbital surface hopping (OSH) algorithm rigorously derived from the orbital quantum classical…

Chemical Physics · Physics 2025-11-24 Yong-Tao Ma , Rui-Hao Bi , Wenjie Dou

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…

Chemical Physics · Physics 2023-11-16 Joseph E. Lawrence , Jonathan R. Mannouch , Jeremy O. Richardson

Surface hopping algorithms are popular tools to study dynamics of the quantum-classical mixed systems. In this paper, we propose a surface hopping algorithm in diabatic representations, based on time dependent perturbation theory and…

Numerical Analysis · Mathematics 2022-10-19 Di Fang , Jianfeng Lu
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