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Related papers: A mapping approach to surface hopping

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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…

Chemical Physics · Physics 2025-12-23 Jakub Martinka , Mikołaj Martyka , Biman Medhi , Jiří Pittner , Pavlo O. Dral

Mixed-quantum-classical molecular dynamics simulation implies an effective measurement on the electronic states owing to continuously tracking the atomic forces.Based on this insight, we propose a quantum trajectory mean-field approach for…

Chemical Physics · Physics 2014-08-08 Wei Feng , Luting Xu , Xin-Qi Li , Weihai Fang , YiJing Yan

We describe how to simulate charge diffusion in organic semiconductors using a recently introduced mixed quantum-classical method, the mapping approach to surface hopping (MASH). In contrast to standard fewest-switches surface hopping, this…

Chemical Physics · Physics 2024-10-01 Johan E. Runeson , Thomas J. G. Drayton , David E. Manolopoulos

Rare nonadiabatic events play a central role in photochemistry but remain difficult to simulate because excited-state dynamics is computationally demanding and often stochastic. Here we introduce a deterministic and time-reversible…

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 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

In response to a community prediction challenge, we simulate the nonadiabatic dynamics of cyclobutanone using the mapping approach to surface hopping (MASH). We consider the first 500 fs of relaxation following photo-excitation to the S2…

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

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

An extension of the CCS-method [Chem. Phys. 2004, 304, p. 103-120] for simulating non-adiabatic dynamics with quantum effects of the nuclei is put forward. The time-dependent Schr\"{o}dinger equation for the motion of the nuclei is solved…

Chemical Physics · Physics 2016-07-27 Alexander Humeniuk , Roland Mitrić

We implement a rare-event sampling scheme for quantifying the rate of thermally-activated nonadiabatic transitions in the condensed phase. Our QM/MM methodology uses the recently developed INAQS package to interface between an elementary…

Chemical Physics · Physics 2023-03-23 Alec J. Coffman , Zuxin Jin , Junhan Chen , Joseph E. Subotnik , D. Vale Cofer-Shabica

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…

Numerical Analysis · Mathematics 2014-05-06 Lihui Chai , Shi Jin , Qin Li , Omar Morandi

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

Nuclear Berry curvature effects emerge from electronic spin degeneracy and canlead to non-trivial spin-dependent (nonadiabatic) nuclear dynamics. However, such effects are completely neglected in all current mixed quantum-classical methods…

Chemical Physics · Physics 2022-08-29 Xuezhi Bian , Yanze Wu , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

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…

Other Condensed Matter · Physics 2010-11-17 Hyojoon Kim , Ali Nassimi , Raymond Kapral

Chemical relaxation phenomena, including photochemistry and electron transfer processes, form a vigorous area of research in which nonadiabatic dynamics plays a fundamental role. Here, we show that for nonadiabatic dynamics with two…

Chemical Physics · Physics 2022-07-20 Yanze Wu , Xuezhi Bian , Jonathan Rawlinson , Robert G. Littlejohn , Joseph E. Subotnik

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…

Chemical Physics · Physics 2015-06-19 Andrey K. Belyaev , Caroline Lasser , Giulio Trigila

Nonadiabatic dynamical processes are one of the most important quantum mechanical phenomena in chemical, materials, biological, and environmental molecular systems, where the coupling between different electronic states is either inherent…

Chemical Physics · Physics 2022-05-24 Jian Liu , Xin He , Baihua Wu

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…

Chemical Physics · Physics 2023-02-22 James Gardner , Daniel Corken , Svenja M. Janke , Scott Habershon , Reinhard J. Maurer

We investigate a simple and robust scheme for choosing the phases of adiabatic electronic states smoothly (as a function of geometry) so as to maximize the performance of ab initio non-adiabatic dynamics methods. Our approach is based upon…

Chemical Physics · Physics 2019-09-26 Zeyu Zhou , Zuxin Jin , Tian Qiu , Andrew M. Rappe , Joseph Eli Subotnik