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We introduce a machine learning-based approach called ab initio generalized Langevin equation (AIGLE) to model the dynamics of slow collective variables in materials and molecules. In this scheme, the parameters are learned from atomistic…

Computational Physics · Physics 2024-04-02 Pinchen Xie , Roberto Car , Weinan E

Despite its widespread use in materials science, conventional molecular dynamics (MD) simulations are severely constrained by timescale limitations. To address this shortcoming, we propose an empirical formulation of accelerated MD method,…

Materials Science · Physics 2025-12-10 Liang Wan , Qingsong Mei , Haowen Liu , Huafeng Zhang , Jun-Ping Du , Shigenobu Ogata , Wen Tong Geng

The ability to efficiently and accurately calculate equilibrium time correlation functions of many-body condensed phase quantum systems is one of the outstanding problems in theoretical chemistry. The Nakajima-Zwanzig-Mori formalism coupled…

Chemical Physics · Physics 2017-04-05 Andrés Montoya-Castillo , David R. Reichman

With the continuous growth of processing power for scientific computing, first principles Born-Oppenheimer molecular dynamics (MD) simulations are becoming increasingly popular for the study of a wide range of problems in materials science,…

Materials Science · Physics 2015-06-04 Anders M. N. Niklasson , Marc J. Cawkwell

Photo-induced processes are fundamental in nature, but accurate simulations are seriously limited by the cost of the underlying quantum chemical calculations, hampering their application for long time scales. Here we introduce a method…

An economic modeling approach for cavity quantum electrodynamics is provided by mean-field dynamics, wherein the optical field is described classically while a self-consistent interaction with quantum emitters is incorporated through the…

Chemical Physics · Physics 2025-12-10 Ming-Hsiu Hsieh , Alex Krotz , Roel Tempelaar

We demonstrate an efficient and accurate, general-purpose first-principles blueprint for calculating anharmonic vibrational free energy and predicting structural phase transition temperatures of solids. Thermodynamic integration is…

Materials Science · Physics 2024-03-14 Junsoo Park , Zhigang Wu , John W. Lawson

This article shows a proof of concept regarding the feasibility of ab initio molecular simulation, wherein the wavefunctions and the positions of nuclei are simultaneously determined by the quantum algorithm, as is realized by the so-called…

Quantum Physics · Physics 2025-04-23 Ichio Kikuchi , Akihito Kikuchi

In this paper, we propose a cost-reduced method for finite-temperature molecular dynamics on a near-term quantum computer, Quantum Car-Parrinello molecular dynamics (QCPMD). One of the most promising applications of near-term quantum…

Quantum Physics · Physics 2022-12-23 Kohdai Kuroiwa , Takahiro Ohkuma , Hirokazu Sato , Ryosuke Imai

A new approach to simulating warm and hot dense matter that combines density functional theory based calculations of the electronic structure to classical molecular dynamics simulations with pair interaction potentials is presented. The new…

Plasma Physics · Physics 2015-06-22 C. E. Starrett , J. Daligault , D. Saumon

Simulations are vital for understanding and predicting the evolution of complex molecular systems. However, despite advances in algorithms and special purpose hardware, accessing the timescales necessary to capture the structural evolution…

Computational Physics · Physics 2021-02-18 Pantelis R. Vlachas , Julija Zavadlav , Matej Praprotnik , Petros Koumoutsakos

A new approach is developed to integrate numerically the equations of motion for systems of interacting rigid polyatomic molecules. With the aid of a leapfrog framework, we directly involve principal angular velocities into the integration,…

Computational Physics · Physics 2007-05-23 Igor P. Omelyan

Conventional molecular dynamics (MD) simulation approaches, such as $\textit{ab initio}$ MD (AIMD) and empirical force field MD (EFFMD), face significant trade-offs between physical accuracy and computational efficiency. This work presents…

Disordered Systems and Neural Networks · Physics 2026-05-12 Hongyu Yan , Yong Wei , Minghan Chen , Hanning Chen

Quantum dynamics (i.e., the Schr\"odinger equation) and classical dynamics (i.e., Hamilton equations) can both be formulated in equal geometric terms: a Poisson bracket defined on a manifold. In this paper we first show that the hybrid…

Chemical Physics · Physics 2013-06-21 J. L. Alonso , A. Castro , J. Clemente-Gallardo , J. C. Cuchí , P. Echenique , F. Falceto

We present a generalized framework, renormalized density matrix downfolding (RDMD), to derive systematically improvable, highly accurate, and nonperturbative effective models from ab initio calculations. This framework moves beyond the…

Strongly Correlated Electrons · Physics 2025-02-27 Yueqing Chang , Sonali Joshi , Lucas K. Wagner

Ab initio molecular dynamics (AIMD) simulations employing density functional theory (DFT) and plane waves are routinely carried out using density functionals at the level of Generalized Gradient Approximation (GGA). AIMD simulations…

Chemical Physics · Physics 2020-03-04 Sagarmoy Mandal , Nisanth N. Nair

Simulating electron-ion dynamics using time-dependent density functional theory within an Ehrenfest dynamics scheme can be done in two ways that are in principle exact and identical: propagating time-dependent electronic Kohn-Sham equations…

Chemical Physics · Physics 2021-07-01 Lionel Lacombe , Neepa T. Maitra

We present a new formulation of ab initio molecular dynamics which exploits the efficiency of plane waves in adaptive curvilinear coordinates, and thus provides an accurate treatment of first-row elements. The method is used to perform a…

mtrl-th · Physics 2009-10-28 Francois Gygi

To evaluate electrostatics interactions, Molecular dynamics (MD) simulations rely on Particle Mesh Ewald (PME), an O(Nlog(N)) algorithm that uses Fast Fourier Transforms (FFTs) or, alternatively, on O(N) Fast Multipole Methods (FMM)…

Numerical Analysis · Mathematics 2023-05-29 Igor Chollet , Louis Lagardère , Jean-Philip Piquemal

Quantum dynamics, typically expressed in the form of a time-dependent Schr\"odinger equation with a Hermitian Hamiltonian, is a natural application for quantum computing. However, when simulating quantum dynamics that involves the emission…

Quantum Physics · Physics 2023-04-04 Shi Jin , Nana Liu , Xiantao Li , Yue Yu