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Related papers: A Vibronic Coupling Model to Study the Nonadiabati…

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Mixed quantum-classical mechanics descriptions are critical to modeling coupled electron-nuclear dynamics, i.e. non-adiabatic molecular dynamics, relevant to photochemical and photophysical processes. We argue that, for polyatomic…

Chemical Physics · Physics 2018-08-21 Roman Baskov , Alexander White , Dmitry Mozyrsky

We benchmark a set of quantum-chemistry methods, including multitrajectory Ehrenfest, fewest-switches surface-hopping, and multiconfigurational-Ehrenfest dynamics, against exact quantum-many-body techniques by studying real-time dynamics in…

Adequate simulation of non-adiabatic dynamics through conical intersection requires account for a non-trivial geometric phase (GP) emerging in electronic and nuclear wave-functions in the adiabatic representation. Popular mixed…

Chemical Physics · Physics 2015-07-20 Rami Gherib , Ilya G. Ryabinkin , Artur F. Izmaylov

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…

Chemical Physics · Physics 2015-06-16 Aaron Kelly , Thomas E. Markland

We propose a novel approach to calculate dynamical processes at ultrafast time scale in molecules in which vibrational and electronic motions are strongly mixed. The relevant electronic orbitals and their interactions are described by a…

Strongly Correlated Electrons · Physics 2009-11-07 L. Arrachea , A. A. Aligia , G. E. Santoro

We introduce a simple ansatz for the wavefunction of a many-body system based on coupled forward and backward-propagating semiclassical trajectories. This method is primarily aimed at, but not limited to, treating nonequilibrium dynamics in…

Chemical Physics · Physics 2018-05-01 Shunsuke A. Sato , Aaron Kelly , Angel Rubio

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

We derive an electron-vibration model Hamiltonian in a quantum chemical framework, and explore the extent to which such a Hamiltonian can capture key effects of nonadiabatic dynamics. The model Hamiltonian is a simple two-body operator, and…

Chemical Physics · Physics 2021-02-03 Thomas Dresselhaus , Callum B. A. Bungey , Peter J. Knowles , Frederick R. Manby

We study the dynamics of non-adiabatic transitions in non-Hermitian multi-level parabolic models where the separations of the diabatic energies are quadratic function of time. The model Hamiltonian has been used to describe the…

Quantum Physics · Physics 2023-01-13 Chon-Fai Kam , Yang Chen

Modeling linear absorption spectra of solvated chromophores is highly challenging as contributions are present both from coupling of the electronic states to nuclear vibrations and solute-solvent interactions. In systems where excited…

Chemical Physics · Physics 2021-10-27 Angus J. Dunnett , Duncan Gowland , Christine M. Isborn , Alex W. Chin , Tim J. Zuehlsdorff

We review a recent approach for the simulation of many-body interacting systems based on an efficient generalization of the Lanczos method for Quantum Monte Carlo simulations. This technique allows to perform systematic corrections to a…

Strongly Correlated Electrons · Physics 2007-05-23 Sandro Sorella

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…

Chemical Physics · Physics 2016-05-24 Alexander White , Sergei Tretiak , Dmitry Mozyrsky

The Hamiltonian dynamics of chains of nonlinearly coupled particles is numerically investigated in two and three dimensions. Simple, off-lattice homopolymer models are used to represent the interparticle potentials. Time averages of…

Statistical Mechanics · Physics 2007-05-23 Alessandro Mossa , Marco Pettini , Cecilia Clementi

Mixed-quantum classical (MQC) methods for simulating the dynamics of molecules at metal surfaces have the potential to accurately and efficiently provide mechanistic insight into reactive processes. Here, we introduce simple two-dimensional…

Chemical Physics · Physics 2023-08-02 James Gardner , Scott Habershon , Reinhard J. Maurer

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

In the construction of diabatic vibronic Hamiltonians for quantum dynamics in the excited-state manifold of molecules, the coupling constants are often extracted solely from information on the excited-state energies. Here, a new protocol is…

Chemical Physics · Physics 2018-04-02 Maria Fumanal , Felix Plasser , Sebastian Mai , Chantal Daniel , Etienne Gindensperger

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

A symmetrical quasiclassical (SQC) dynamics approach based on the Li-Miller (LM) mapping Hamiltonian (SQC-LM) was employed to describe nonadiabatic dynamics. In principle, the different initial sampling procedures may be applied in the…

Chemical Physics · Physics 2020-01-08 Jie Zheng , Yu Xie , Sheng-shi Jiang , Yun-ze Long , Xin Ning , Zhenggang Lan

Nonadiabatic phenomena are investigated in the rovibrational motion of molecules confined in an infrared cavity. Conical intersections (CIs) between vibrational polaritons, similar to CIs between electronic polaritonic surfaces, are found.…

Quantum Physics · Physics 2021-02-24 Tamás Szidarovszky , Péter Badankó , Gábor J. Halász , Ágnes Vibók

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
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