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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

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

Despite the recent interest in the discontinuous shear-thickening (DST) behaviour, few computational works tackle the rich hydrodynamics of these fluids. In this work, we present the first implementation of a microstructural DST model in…

Fluid Dynamics · Physics 2023-11-27 Peter Angerman , Sagaya Prasanna Kumar , Bjornar Sandnes , Ryohei Seto , Marco Ellero

Cyclobutadiene is a well-known playground for theoretical chemists and is particularly suitable to test ground- and excited-state methods. Indeed, due to its high spatial symmetry, especially at the $D_{4h}$ square geometry but also in the…

The decay of Rydberg-atom-ion molecules (RAIMs) due to non-adiabatic couplings between electronic potential energy surfaces is investigated. We employ the Born-Huang representation and perform numerical simulations using a Crank-Nicolson…

Atomic Physics · Physics 2022-01-19 Alisher Duspayev , Georg Raithel

The electronic structure calculations remain a major bottleneck in ab initio nonadiabatic molecular dynamics. We develop an efficient TDDFT-based FSSH implementation in the GPU4PySCF package for medium-sized molecular systems. Our approach…

Chemical Physics · Physics 2026-05-08 Cheng Fan , Zhichen Pu , Zehao Zhou , Yuanheng Wang , Yi Qin Gao , Qiming Sun

Rare nonadiabatic reactions are a key component of many important molecular processes but are challenging to capture with direct dynamical simulations. In this paper, we combine our recently developed mapping approach to surface hopping…

Chemical Physics · Physics 2026-03-19 Danial Ghamari , Jeremy O. Richardson

Vibrational energies and wave functions of the triplet state of the H3+ ion have been determined. In the calculations, the ground and first excited triplet electronic states are included as well as the non-Born-Oppenheimer coupling between…

Chemical Physics · Physics 2016-05-25 Alexander Alijah , Viatcheslav Kokoouline

Nonadiabatic effects that arise from the concerted motion of electrons and atoms at comparable energy and time scales are omnipresent in thermal and light-driven chemistry at metal surfaces. Excited (hot) electrons can measurably affect…

Materials Science · Physics 2020-12-10 Connor L. Box , Yaolong Zhang , Rongrong Yin , Bin Jiang , Reinhard J. Maurer

Using a generalized energy-conserving transition probability, it is shown how nonadiabatic calculations, within the Wigner-Heisenberg representation of quantum mechanics, can be reliably extended to far longer times than those allowed by a…

Quantum Physics · Physics 2010-07-16 Daniel A. Uken , Alessandro Sergi , Francesco Petruccione

We present an efficient \textit{ab initio} algorithm for quantum dynamics simulations of interacting systems that is based on the conditional decomposition of the many-body wavefunction [Phys. Rev. Lett. 113, 083003 (2014)]. Starting with…

Mesoscale and Nanoscale Physics · Physics 2019-02-27 Guillermo Albareda , Aaron Kelly , Angel Rubio

Most microscopic descriptions of structural dynamics assume the Born-Oppenheimer separation, where electrons adjust adiabatically to ionic motion. When this separation breaks down, electronic and lattice degrees of freedom can evolve on…

Materials Science · Physics 2026-02-26 Gili Scharf , Lara Donval , Leah Ben Gur , Alon Ron

Non-adiabatic molecular dynamics (NAMD) has become an essential computational technique for studying the photophysical relaxation of molecular systems after light absorption. These phenomena require approximations that go beyond the…

Nonadiabatic couplings (NACs) play a crucial role in modeling photochemical and photophysical processes with methods such as the widely used fewest-switches surface hopping (FSSH). There is therefore a strong incentive to machine learn NACs…

Computational Physics · Physics 2026-03-17 Jakub Martinka , Lina Zhang , Yi-Fan Hou , Mikołaj Martyka , Jiří Pittner , Mario Barbatti , Pavlo O. Dral

We examine the adiabatic preparation of spatially-ordered Rydberg excitations of atoms in finite one-dimensional lattices by frequency-chirped laser pulses, as realized in a number of recent experiments simulating quantum Ising model. Our…

Quantum Physics · Physics 2022-12-13 A. F. Tzortzakakis , D. Petrosyan , M. Fleischhauer , K. Mølmer

We extend the DeePMD neural network architecture to predict electronic structure properties necessary to perform non-adiabatic dynamics simulations. While learning the excited state energies and forces follows a straightforward extension of…

Chemical Physics · Physics 2024-10-17 Lucien Dupuy , Neepa T. Maitra

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

We study the exact solution of the Schr\"odinger equation for the dissipative dynamics of a qubit, achieved by means of Short Iterative Lanczos method (SIL), which allows us to describe the qubit and the bath dynamics from weak to strong…

Quantum Physics · Physics 2019-07-24 L. M. Cangemi , V. Cataudella , M. Sassetti , G. De Filippis

The quantum dynamics of linear molecular aggregates in the presence of S0-S1 and S0-S2 transitions is investigated putting emphasis on the interplay between local non-adiabatic S2 to S1 deactivation and Frenkel exciton transfer. The…

Chemical Physics · Physics 2013-05-03 M. Schröter , O. Kühn

To understand the recently observed mysterious non-adiabatic energy transfer for hyperthermal H atom scattering from a semiconductor surface, Ge(111)c(2*8), we present a mixed quantum-classical non-adiabatic molecular dynamics model based…

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