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Related papers: Semiclassical analysis of quantum dynamics

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In molecular dynamics (MD), systems are molecules made up of atoms, and the aim is to determine their evolution over time. MD is based on a numerical resolution algorithm, whose role is to apply the forces generated by the various…

Statistical Mechanics · Physics 2024-10-16 Frédéric Boussinot

Quantum-mechanically-driven charge polarization and charge transfer are ubiquitous in biomolecular systems, controlling reaction rates, allosteric interactions, ligand-protein binding, membrane transport, and dynamically-driven structural…

Chemical Physics · Physics 2021-06-09 Susan R. Atlas

Quantum transitions are described semiclassically as motions of systems along (complex) trajectories. We consider the cases when the semiclassical trajectories are unstable and find that durations of the corresponding transitions are large.…

Quantum Physics · Physics 2013-05-29 D. G. Levkov , A. G. Panin

Quantum computing promises to speed up some of the most challenging problems in science and engineering. Quantum algorithms have been proposed showing theoretical advantages in applications ranging from chemistry to logistics optimization.…

Quantum Physics · Physics 2021-11-12 Niklas Heim , Atiyo Ghosh , Oleksandr Kyriienko , Vincent E. Elfving

Accurate prediction of energy and forces for 3D molecular systems is one of fundamental challenges at the core of AI for Science applications. Many powerful and data-efficient neural networks predict molecular energies and forces from…

Chemical Physics · Physics 2026-04-23 Ali Mollahosseini , Mohammed Haroon Dupty , Wee Sun Lee

An accurate treatment of the structures and dynamics that lead to enhanced chemical reactivity in enzymes requires explicit treatment of both electronic and nuclear quantum effects. The former can be captured in ab initio molecular dynamics…

Chemical Physics · Physics 2022-08-26 Lu Wang , Christine M. Isborn , Thomas E. Markland

A novel mixed quantum-classical approach to simulating nonadiabatic dynamics of molecules at metal surfaces is presented. The method combines the numerically exact hierarchical equations of motion approach for the quantum electronic degrees…

Mesoscale and Nanoscale Physics · Physics 2024-05-06 Samuel L. Rudge , Christoph Kaspar , Robin L. Grether , Steffen Wolf , Gerhard Stock , Michael Thoss

Molecular dynamics (MD) simulations are used in biochemistry, physics, and other fields to study the motions, thermodynamic properties, and the interactions between molecules. Computational limitations and the complexity of these problems,…

Numerical Analysis · Mathematics 2018-01-17 F. Grogan , M. Holst , L. Lindblom , R. Amaro

This paper presents a new approach to phase space trajectories in quantum mechanics. A Moyal description of quantum theory is used, where observables and states are treated as classical functions on a classical phase space. A quantum…

Mathematical Physics · Physics 2015-06-11 Maciej Blaszak , Ziemowit Domanski

Quasiclassical methods for non-adiabatic quantum dynamics can reveal new features of quantum effects, such as tunneling evolution, that are harder to reveal in standard treatments based on wave functions of stationary states. Here, these…

General Relativity and Quantum Cosmology · Physics 2022-05-06 Martin Bojowald , Pip Petersen

Semiclassical electrodynamics is an appealing approach for studying light-matter interactions, especially for realistic molecular systems. However, there is no unique semiclassical scheme. On the one hand, intermolecular interactions can be…

Chemical Physics · Physics 2019-12-16 Tao E. Li , Hsing-Ta Chen , Abraham Nitzan , Joseph E. Subotnik

The transport of ultra-cold atoms in magneto-optical potentials provides a clean setting in which to investigate the distinct predictions of classical versus quantum dynamics for a system with coupled degrees of freedom. In this system,…

Understanding the dynamic behavior of biomolecules is fundamental to elucidating biological function and facilitating drug discovery. While Molecular Dynamics (MD) simulations provide a rigorous physical basis for studying these dynamics,…

Biomolecules · Quantitative Biology 2026-03-19 Liang Shi , Jiarui Lu , Junqi Liu , Chence Shi , Zhi Yang , Jian Tang

We develop the semiclassical method of complex trajectories in application to chaotic dynamical tunneling. First, we suggest a systematic numerical technique for obtaining complex tunneling trajectories by the gradual deformation of the…

Chaotic Dynamics · Physics 2008-11-26 D. G. Levkov , A. G. Panin , S. M. Sibiryakov

We introduce an improved semiclassical dynamics approach to quantum vibrational spectroscopy. In this method, a harmonic-based phase space sampling is preliminarily driven toward non-harmonic quantization by slowly switching on the actual…

Chemical Physics · Physics 2019-12-09 Riccardo Conte , Lorenzo Parma , Chiara Aieta , Alessandro Rognoni , Michele Ceotto

The dynamics of dissipative soft-sphere gases obeys Newton's equation of motion which are commonly solved numerically by (force-based) Molecular Dynamics schemes. With the assumption of instantaneous, pairwise collisions, the simulation can…

Statistical Mechanics · Physics 2015-06-12 Patric Mueller , Thorsten Poeschel

We introduce a hybrid method for dielectric-metal composites that describes the dynamics of the metallic system classically whilst retaining a quantum description of the dielectric. The time-dependent dipole moment of the classical system…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Ryan J. McMillan , Lorenzo Stella , Myrta Grüning

Molecular dynamics simulations are a cornerstone in science, allowing to investigate from the system's thermodynamics to analyse intricate molecular interactions. In general, to create extended molecular trajectories can be a…

Computational Physics · Physics 2022-06-22 Ludwig Winkler , Klaus-Robert Müller , Huziel E. Sauceda

Semiclassical approximations for quantum dynamic simulations in complex chemical systems range from rigorously accurate methods that are computationally expensive to methods that exhibit near-classical scaling with system size but are…

Chemical Physics · Physics 2022-09-09 Shreyas Malpathak , Matthew S. Church , Nandini Ananth

Exposing a molecule to intense light pulses may bring this molecule to a nonstationary quantum state, thus launching correlated dynamics of electronic and nuclear subsystems. Although much had been achieved in the understanding of…

Chemical Physics · Physics 2024-04-11 Nikolay V. Golubev , Jiří Vaníček