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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

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

The quantum-classical Liouville equation offers a rigorous approach to nonadiabatic quantum dynamics based on surface hopping type trajectories. However, in practice the applicability of this approach has been limited to short times owing…

化学物理 · 物理学 2015-06-16 Aaron Kelly , Thomas E. Markland

We revisit a recent proposal to model nonadiabatic problems with a complex-valued Hamiltonian through a phase-space surface hopping (PSSH) algorithm employing a pseudo-diabatic basis. Here, we show that such a pseudo-diabatic PSSH (PD-PSSH)…

量子物理 · 物理学 2023-01-25 Yanze Wu , Joseph Subotnik

Independent electron surface hopping (IESH) is a computational algorithm for simulating the mixed quantum-classical molecular dynamics of adsorbate atoms and molecules interacting with metal surfaces. It is capable of modelling the…

化学物理 · 物理学 2023-02-22 James Gardner , Daniel Corken , Svenja M. Janke , Scott Habershon , Reinhard J. Maurer

In mixed quantum-classical simulations of molecule-metal surface interactions, the discretization of the metallic electronic continuum typically results in a closed-system representation that fails to capture the open-system nature of the…

化学物理 · 物理学 2026-03-19 Yongtao Ma , Wenjie Dou

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…

量子物理 · 物理学 2023-06-21 Yu Wang , Wenjie Dou

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

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…

数值分析 · 数学 2022-05-06 Zhenning Cai , Di Fang , Jianfeng Lu

We propose a method which combines the quantum-classical mapping approach to surface hopping (MASH) with the dissipative quantum dynamics of the Lindblad master equation. Like conventional surface-hopping methods, our approach is based on…

量子物理 · 物理学 2026-03-31 Kasra Asnaashari , Jeremy O. Richardson

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…

化学物理 · 物理学 2025-07-08 Jan Vavřín

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

The quantum-classical Liouville equation describes the dynamics of a quantum subsystem coupled to a classical environment. It has been simulated using various methods, notably, surface-hopping schemes. A representation of this equation in…

其他凝聚态物理 · 物理学 2010-11-17 Hyojoon Kim , Ali Nassimi , Raymond Kapral

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

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

Nonadiabatic molecular dynamics is a key technique for investigating a broad range of photochemical and photophysical processes. Among the established approaches, surface hopping schemes are widely used and can be easily integrated with…

化学物理 · 物理学 2025-12-23 Jakub Martinka , Mikołaj Martyka , Biman Medhi , Jiří Pittner , Pavlo O. Dral

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…

化学物理 · 物理学 2024-03-19 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…

数值分析 · 数学 2022-10-19 Di Fang , Jianfeng Lu

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

In this work, we describe various improved implementations of the mapping approach to surface hopping (MASH) for simulating nonadiabatic dynamics. These include time-reversible and piecewise-continuous integrators, which is only formally…

化学物理 · 物理学 2026-03-31 J. Amira Geuther , Kasra Asnaashari , Jeremy O. Richardson
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