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相关论文: Surface hopping methodology in laser-driven molecu…

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A class of surface hopping algorithms is studied comparing two recent Landau-Zener (LZ) formulas for the probability of nonadiabatic transitions. One of the formulas requires a diabatic representation of the potential matrix while the other…

化学物理 · 物理学 2015-06-19 Andrey K. Belyaev , Caroline Lasser , Giulio Trigila

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 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

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

We discuss the usefulness of Born-Oppenheimer potential surfaces for nuclear dynamics for molecules strongly coupled to metal surfaces. A simple model demonstrating the construction of such surface for a molecular junction is discussed.

介观与纳米尺度物理 · 物理学 2009-09-07 Michael Galperin , Abraham Nitzan , Mark A. Ratner

Optimal control of molecular dynamics is commonly expressed from a quantum mechanical perspective. However, in most contexts the preponderance of molecular dynamics studies utilize classical mechanical models. This paper treats laser-driven…

化学物理 · 物理学 2015-03-19 Carlee Joe-Wong , Tak-San Ho , Ruixing Long , Herschel Rabitz , Rebing Wu

We present a detailed study of the decoherence correction to surface-hopping that was recently derived from the exact factorization approach. Ab initio multiple spawning calculations that use the same initial conditions and same electronic…

Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as…

化学物理 · 物理学 2016-05-24 Alexander White , Sergei Tretiak , Dmitry Mozyrsky

Dynamics of a particle diffusing in a confinement can be seen a sequence of bulk-diffusion-mediated hops on the confinement surface. Here, we investigate the surface hopping propagator that describes the position of the diffusing particle…

统计力学 · 物理学 2020-09-23 Denis S. Grebenkov

Trajectory-based mixed quantum-classical approaches to coupled electron-nuclear dynamics suffer from well-studied problems such as the lack of (or incorrect account for) decoherence in the trajectory surface hopping method and the inability…

量子物理 · 物理学 2016-02-29 Federica Agostini , Seung Kyu Min , Ali Abedi , E. K. U. Gross

Non-adiabatic chemical reactions involving continuous circularly polarized light (cw CPL) have not attracted as much attention as dynamics in unpolarized/linearly polarized light. However, including circularly (in contrast to linearly)…

化学物理 · 物理学 2022-09-20 Zeyu Zhou , Yanze Wu , Xuezhi Bian , Joseph Eli Subotnik

We develop a realistic protocol to observe a robust topological dynamics of two-particle bound states in a lattice model with on-site interactions and suitably designed time-dependent hoppings. This Floquet scheme can be realistically…

量子物理 · 物理学 2022-03-14 Anna Berti , Iacopo Carusotto

Molecular rotation, vibration, internal rotation, isomerization, tunneling, intermolecular dynamics of weakly and strongly interacting systems, intra-to-inter-molecular energy transfer, hindered rotation and hindered translation over…

化学物理 · 物理学 2022-12-02 Edit Mátyus , Alberto Martín Santa Daría , Gustavo Avila

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…

化学物理 · 物理学 2025-11-24 Yong-Tao Ma , Rui-Hao Bi , Wenjie Dou

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

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

In the paper we derive a semiclassical model for surface hopping allowing quantum dynamical non-adiabatic transition between different potential energy surfaces in which cases the classical Born-Oppenheimer approximation breaks down. The…

数值分析 · 数学 2014-05-06 Lihui Chai , Shi Jin , Qin Li , Omar Morandi

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

We propose a surface hopping Gaussian beam method to numerically solve a class of high frequency linear transport systems in high spatial dimensions, based on asymptotic analysis. The stochastic surface hopping is combined with Gaussian…

数值分析 · 数学 2017-03-24 Zhenning Cai , Jianfeng Lu

We develop a trajectory-based approach for excited-state molecular dynamics simulations of systems subject to an external periodic drive. We combine the exact-factorization formalism, allowing to treat electron-nuclear systems in…

化学物理 · 物理学 2021-03-31 Marco Schirò , Florian G. Eich , Federica Agostini