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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…

Chemical Physics · Physics 2013-01-11 J. M. Escartín , P. Romaniello , L. Stella , P. -G. Reinhard , E. Suraud

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)…

Chemical Physics · Physics 2022-09-20 Zeyu Zhou , Yanze Wu , Xuezhi Bian , Joseph Eli Subotnik

We present a rare event sampling scheme applicable to coupled electronic excited states. In particular, we extend the forward flux sampling (FFS) method for rare event sampling to a nonadiabatic version (NAFFS) that uses the trajectory…

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…

Chemical Physics · Physics 2026-03-31 J. Amira Geuther , Kasra Asnaashari , Jeremy O. Richardson

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

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

This research examines the nonadiabatic dynamics of cyclobutanone after excitation into the n-3s Rydberg S2 state. It stems from our contribution to the Special Topic of the Journal of Chemical Physics to test the predictive capability of…

Chemical Physics · Physics 2024-02-16 Saikat Mukherjee , Rafael S. Mattos , Josene M. Toldo , Hans Lischka , Mario Barbatti

Experiments indicate that collective coupling of molecular ensembles to confined optical modes can modify excited-state dynamics and photochemical reactivity. To describe such cavity-induced effects at atomic resolution, semi-classical…

Chemical Physics · Physics 2026-03-06 Arun Kumar Kanakati , Oriol Vendrell , Gerrit Groenhof

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)…

Quantum Physics · Physics 2023-01-25 Yanze Wu , Joseph Subotnik

While surface-hopping has emerged as a powerful method to simulate non-adiabatic dynamics in large molecules, the ad hoc nature of the necessary velocity adjustments and decoherence corrections in the algorithm somewhat reduces its…

Chemical Physics · Physics 2024-01-17 Lucien Dupuy , Anton Rikus , Neepa T. Maitra

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…

Chemical Physics · Physics 2024-05-08 Jonathan R. Mannouch , Aaron Kelly

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…

Numerical Analysis · Mathematics 2017-03-30 Jianfeng Lu , Zhennan Zhou

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

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

Ring Polymer Surface-Hopping (RPSH) has been recently introduced as a well-tailored method for incorporating nuclear quantum effects (NQEs), such as zero-point energy and tunneling, into non-adiabatic molecular dynamics simulations. The…

Chemical Physics · Physics 2025-09-16 Dil K. Limbu , Farnaz A. Shakib

Few-Shot Learning (FSL) algorithms have made substantial progress in learning novel concepts with just a handful of labelled data. To classify query instances from novel classes encountered at test-time, they only require a support set…

Machine Learning · Computer Science 2021-08-06 Etienne Bennequin , Victor Bouvier , Myriam Tami , Antoine Toubhans , Céline Hudelot

The possibility to apply phase-space methods to many-body interacting systems might provide accurate descriptions of correlations with a reduced numerical cost. For instance, the so--called stochastic mean-field phase-space approach, where…

Nuclear Theory · Physics 2020-04-22 Thomas Czuba , Denis Lacroix , David Regnier , Ibrahim Ulgen , Bulent Yilmaz

The Fermi-Hubbard model (FHM) on a two dimensional square lattice has long been an important testbed and target for simulating fermionic Hamiltonians on quantum hardware. We present an alternative for quantum simulation of FHMs based on an…

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

In this article, we propose a Frozen Gaussian Sampling (FGS) algorithm for simulating nonadiabatic quantum dynamics at metal surfaces with a continuous spectrum. This method consists of a Monte-Carlo algorithm for sampling the initial wave…

Computational Physics · Physics 2022-11-30 Zhen Huang , Limin Xu , Zhennan Zhou