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Nonadiabatic ring-polymer molecular dynamics employs the mapping approach to describe nonadiabatic effects within the ring-polymer ansatz. In this paper, it is generalized to allow for the nuclear and electronic degrees of freedom to be…

Chemical Physics · Physics 2017-08-23 Jeremy O. Richardson , Philipp Meyer , Marc-Oliver Pleinert , Michael Thoss

We present a method to study rare nonadiabatic dynamics in open quantum systems using transition path sampling and quantum jump trajectories. As with applications of transition path sampling to classical dynamics, the method does not rely…

Statistical Mechanics · Physics 2021-12-08 Addison J. Schile , David T. Limmer

Non-adiabatic molecular dynamics (NAMD) simulations have become an indispensable tool for investigating excited-state dynamics in solids. In this work, we propose a general framework, N$^2$AMD which employs an E(3)-equivariant deep neural…

In this work, a novel ring polymer representation for multi-level quantum system is proposed for thermal average calculations. The proposed presentation keeps the discreteness of the electronic states: besides position and momentum, each…

Chemical Physics · Physics 2017-05-24 Jianfeng Lu , Zhennan Zhou

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

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

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

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

Interest in vibrational polaritonic chemistry, where ground-state chemical kinetics are modified via confined optical modes in a cavity, has surged in recent years. Although models have been developed to understand cavity-modified…

Quantum Physics · Physics 2025-02-10 Muhammad R. Hasyim , Arkajit Mandal , David R. Reichman

Nonadiabatic molecular dynamics (NAMD) is widely used to describe hot electron relaxation and nonradiative recombination processes, but high computational costs limit its application to large supercells. Here, we implement a nonadiabatic…

Chemical Physics · Physics 2026-05-26 Xiaoke He , Hsiao-Yi Tsai , Ziwei Chai , Junwen Yin , Zhongfei Xu , Li-Min Liu

Non-adiabatic dynamics at molecule-metal interfaces govern diverse and technologically important phenomena, from heterogeneous catalysis to dye-sensitized solar energy conversion and charge transport across molecular junctions. Realistic…

Quantum Physics · Physics 2026-02-27 Robert A. Lang , Paarth Jain , Juan Miguel Arrazola , Danial Motlagh

Intersystem crossing is a radiationless process that can take place in a molecule irradiated by UV-Vis light, thereby playing an important role in many environmental, biological and technological processes. This paper reviews different…

Chemical Physics · Physics 2017-03-29 Sebastian Mai , Philipp Marquetand , Leticia González

Molecular dynamics simulations have become essential in many areas of atomistic modelling from drug discovery to materials science. They provide critical atomic-level insights into key dynamical events experiments cannot easily capture.…

Biological Physics · Physics 2024-06-14 Tiejun Wei , Balint Dudas , Edina Rosta

Quantum computation promises to provide substantial speedups in many practical applications with a particularly exciting one being the simulation of quantum many-body systems. Adiabatic state preparation (ASP) is one way that quantum…

Quantum Physics · Physics 2022-01-05 Vladimir Kremenetski , Carlos Mejuto-Zaera , Stephen J. Cotton , Norm M. Tubman

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

A novel quantum dynamical method to simulate vibronic reaction dynamics in molecules at metal surfaces is proposed. The method is based on the hierarchical quantum master equation approach and uses a discrete variable representation of the…

Chemical Physics · Physics 2019-12-05 A. Erpenbeck , M. Thoss

A non-adiabatic nuclear wavepacket dynamics simulation of the H$_2$O$^+$ de-excitation process is performed based on electronic structure calculations using the variational quantum eigensolver. The adiabatic potential energy surfaces and…

Quantum Physics · Physics 2022-03-02 Hirotoshi Hirai , Sho Koh

We introduce a computational framework for simulating non-adiabatic vibronic dynamics on circuit quantum electrodynamics (cQED) platforms. Our approach leverages hybrid oscillator-qubit quantum hardware with mid-circuit measurements and…

Quantum Physics · Physics 2025-10-27 Nam P. Vu , Daniel Dong , Xiaohan Dan , Ningyi Lyu , Victor Batista , Yuan Liu

A single-loop scenario is proposed to realize nonadiabatic geometric quantum computation. Conventionally, a so-called multi-loop approach is used to remove the dynamical phase accumulated in the operation process for geometric quantum…

Quantum Physics · Physics 2009-11-11 Xin-Ding Zhang , Shi-Liang Zhu , L. Hu , Z. D. Wang