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Spin relaxometry based on quantum spin systems has developed as a valuable tool in medical and condensed matter systems, offering the advantage of operating without the need for external DC or RF fields. Spin relaxometry with…

量子物理 · 物理学 2026-05-08 Ella P. Walsh , Sepehr Ahmadi , Alexander J. Healey , David A. Simpson , Liam T. Hall

The identification of spin-nematic states is challenging due to the absence of Bragg peaks. However, the study of dynamical physical quantities provides a promising avenue for characterizing these states. In this study, we investigate the…

强关联电子 · 物理学 2024-02-20 Tsutomu Momoi

Probabilistic Manifold Decomposition (PMD)\cite{doi:10.1137/25M1738863}, developed in our earlier work, provides a nonlinear model reduction by embedding high-dimensional dynamics onto low-dimensional probabilistic manifolds. The PMD has…

数值分析 · 数学 2026-01-13 Jiaming Guo , Dunhui Xiao

This paper proposes SMADMM, a single-loop Stochastic Momentum Alternating Direction Method of Multipliers for solving a class of nonconvex and nonsmooth composite optimization problems. SMADMM achieves the optimal oracle complexity of…

最优化与控制 · 数学 2025-04-22 Kangkang Deng , Shuchang Zhang , Boyu Wang , Jiachen Jin , Juan Zhou , Hongxia Wang

Dynamic Mode Decomposition (DMD) is an equation-free method that aims at reconstructing the best linear fit from temporal datasets. In this paper, we show that DMD does not provide accurate approximation for datasets describing oscillatory…

数值分析 · 数学 2023-03-14 Alessandro Alla , Angela Monti , Ivonne Sgura

We introduce the non-Hermitian mosaic Maryland model, where a discrete modulation period and a non-Hermitian phase are incorporated into the potential, rendering the originally exactly solvable system generally non-integrable. This model…

无序系统与神经网络 · 物理学 2026-03-27 Zhenning Wang , Ni Lu , Dan Liu , Xiaosen Yang , Xianqi Tong

Path integral molecular dynamics simulations, combined with an ab initio evaluation of interactions using electronic structure theory, incorporate the quantum mechanical nature of both the electrons and nuclei, which are essential to…

化学物理 · 物理学 2016-02-15 Ondrej Marsalek , Thomas E. Markland

Nonadiabatic molecular dynamics is an effective method for modeling nonradiative decay in electronically excited molecules. Its accuracy depends strongly on the quality of the potential energy surfaces, and its affordability for long…

化学物理 · 物理学 2024-10-11 Matthew R. Hennefarth , Donald G. Truhlar , Laura Gagliardi

We present an accelerated ``on-the-fly'' coupled-cluster path-integral molecular dynamics (PIMD) method for finite-temperature simulations in which electron correlation and nuclear quantum effects are treated simultaneously. The approach is…

化学物理 · 物理学 2026-05-20 Thomas Spura , Hossam Elgabarty , Thomas D. Kühne

We report the first experimental demonstration of stimulated Raman adiabatic passage (STIRAP) in nuclear-spin transitions of $^{14}$N within nitrogen-vacancy (NV) color centers in diamond. It is shown that the STIRAP technique suppresses…

Kinetic transport equations are notoriously difficult to simulate because of their complex multiscale behaviors and the need to numerically resolve a high dimensional probability density function. Past literature has focused on building…

数值分析 · 数学 2022-11-10 Zhichao Peng , Yanlai Chen , Yingda Cheng , Fengyan Li

Non-equilibrium Markov State Modeling (MSM) has recently been proposed [Phys. Rev. E 94, 053001 (2016)] as a possible route to construct a physical theory of sliding friction from a long steady state atomistic simulation: the approach…

统计力学 · 物理学 2017-10-17 M. Teruzzi , F. Pellegrini , A. Laio , E. Tosatti

DL_POLY Quantum 2.1 is introduced here as a highly modular, sustainable, and scalable general-purpose molecular dynamics (MD) simulation software for large-scale long-time MD simulations of condensed phase and interfacial systems with the…

材料科学 · 物理学 2025-05-08 Nathan London , Dil K. Limbu , Md Omar Faruque , Farnaz A. Shakib , Mohammad R. Momeni

The parameterization method (PM) provides a broad theoretical and numerical foundation for computing invariant manifolds of dynamical systems. PM implements a change of variables in order to represent trajectories of a system of ordinary…

动力系统 · 数学 2024-04-16 Alberto Pérez-Cervera , Benjamin Lindner , Peter J. Thomas

First-principles calculations of high-temperature spin dynamics in solids in the context of nuclear magnetic resonance (NMR) is a long-standing problem, whose conclusive solution can significantly advance the applications of NMR as a…

统计力学 · 物理学 2018-12-19 Grigory A. Starkov , Boris V. Fine

For precision coherent measurements with ensembles of quantum spins the relevant Figure-of-Merit (FOM) is the product of polarized spin density and coherence lifetime, which is generally limited by the dynamics of the spin environment.…

介观与纳米尺度物理 · 物理学 2011-12-08 N. Bar-Gill , L. M. Pham , C. Belthangady , D. Le Sage , P. Cappellaro , J. R. Maze , M. D. Lukin , A. Yacoby , R. Walsworth

Learning-based methods have made significant progress in physics simulation, typically approximating dynamics with a monolithic end-to-end optimized neural network. Although these models offer an effective way to simulation, they may lose…

机器学习 · 计算机科学 2025-12-18 Yifei Li , Haixu Wu , Zeyi Xu , Tuur Stuyck , Wojciech Matusik

This Feature Article presents an overview of the current status of Ring Polymer Molecular Dynamics (RPMD) rate theory. We first analyze the RPMD approach and its connection to quantum transition-state theory. We then focus on its practical…

化学物理 · 物理学 2017-02-08 Yury V. Suleimanov , F. Javier Aoiz , Hua Guo

We introduce and apply a numerically exact method for investigating the real-time dissipative dynamics of quantum impurities embedded in a macroscopic environment beyond the weak-coupling limit. We focus on the spin-boson Hamiltonian that…

强关联电子 · 物理学 2013-02-04 Peter P. Orth , Adilet Imambekov , Karyn Le Hur

Direct dynamics methods using Gaussian wavepackets have to rely only on local properties, such as gradients and hessians at the center of the wavepacket, so as to be compatible with the usual quantum chemistry methods. Matrix elements of…

化学物理 · 物理学 2016-04-26 Alexander Humeniuk , Roland Mitric