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We recently obtained a quantum-Boltzmann-conserving classical dynamics by making a single change to the derivation of the `Classical Wigner' approximation. Here, we show that the further approximation of this `Matsubara dynamics' gives rise…

化学物理 · 物理学 2015-05-20 Timothy J. H. Hele , Michael J. Willatt , Andrea Muolo , Stuart C. Althorpe

Accurate simulation of the non-adiabatic dynamics of molecules in excited electronic states is key to understanding molecular photo-physical processes. Here we present a novel method, based on a semiclassical approximation, that is as…

化学物理 · 物理学 2016-05-24 Alexander White , Sergei Tretiak , Dmitry Mozyrsky

We extend our previous symmetrized path-integral molecular dynamics approach to calculate tunneling splittings of molecules in rotationally excited states. In this new formalism, the system is rigorously projected onto selected rotational…

化学物理 · 物理学 2026-04-15 Lea Zupan , Yu-Chen Wang , Jeremy O. Richardson

To fully understand, analyze, and determine the behavior of dynamical systems, it is crucial to identify their intrinsic modal coordinates. In nonlinear dynamical systems, this task is challenging as the modal transformation based on the…

机器学习 · 计算机科学 2025-03-13 Abdolvahhab Rostamijavanani , Shanwu Li , Yongchao Yang

This report is concerned with the efficiency of numerical methods for simulating quantum spin systems, with the aim to implement an improved method for simulation of a time-dependent Hamiltonian that displays chirped pulses at a high…

量子物理 · 物理学 2023-12-29 Danny Goodacre

The charge state dynamics of the nitrogen-vacancy (NV) center in diamond play a key role in a wide range of applications, yet remain imperfectly understood. Using single ps-pulses and pulse pairs, we quantitatively investigate the charge…

量子物理 · 物理学 2018-08-01 Luke Hacquebard , Lilian Childress

We address the calculation of microcanonical reaction rates for processes involving significant nuclear quantum effects using ring-polymer molecular dynamics (RPMD), both with and without electronically non-adiabatic transitions. After…

统计力学 · 物理学 2020-04-22 Xuecheng Tao , Philip Shushkov , Thomas F. Miller

We develop a unified quantum geometric framework to understand reactive quantum dynamics. The critical roles of the quantum geometry of adiabatic electronic states in both adiabatic and non-adiabatic quantum dynamics are unveiled. A…

化学物理 · 物理学 2025-05-19 Yujuan Xie , Ruoxi Liu , Bing Gu

The algebraic reformulation of molecular Quantum Electrodynamics (mQED) at finite temperatures is applied to Nuclear Magnetic Resonance (NMR) in order to provide a foundation for the reconstruction of much more detailed molecular…

量子物理 · 物理学 2020-09-25 Kolja Them

In Part I [J. Chem. Phys. 138, 084108 (2013)] we derived a quantum transition-state theory by taking the t->0+ (short-time) limit of a new form of quantum flux-side time-correlation function containing a ring-polymer dividing surface. This…

化学物理 · 物理学 2013-09-05 Stuart C. Althorpe , Timothy J. H. Hele

We review a dynamical approach to non-equilibrium MD (D-NEMD). We show how, using a proper simulation setup, is possible to treat interesting cases in which the initial condition is a stationary non-equilibrium state produced by a suitable…

计算物理 · 物理学 2015-05-27 Sergio Orlandini , Simone Meloni , Giovanni Ciccotti

Quantum computation is an attractive front for many problems that are intractable for computers today. One such problem is nonadiabatic quantum molecular dynamics, where quantized internal states coupling to parameterized modes result in a…

量子物理 · 物理学 2026-04-22 Joshua Courtney

We discuss nuclear dynamics at molecule-metal interfaces including non-equilibrium molecular junctions. Starting from the many-body states (pseudoparticle) formulation of the molecule-metal system in the molecular vibronic basis, we…

介观与纳米尺度物理 · 物理学 2015-11-30 Michael Galperin , Abraham Nitzan

Ring polymers are prevalent in natural and engineered systems, including circular bacterial DNA, crown ethers for cation chelation, and mechanical nanoswitches. The morphology and dynamics of ring polymers are governed by the chemistry and…

化学物理 · 物理学 2018-02-07 Jiang Wang , Andrew Ferguson

We develop a semi-classical method to simulate the motion of atoms in a dissipative optical lattice. Our method treats the internal states of the atom quantum mechanically, including all nonadiabatic couplings, while position and momentum…

原子物理 · 物理学 2009-11-11 S. Jonsell , C. M. Dion , M. Nylén , S. J. H. Petra , P. Sjölund , A. Kastberg

Path-integral-based molecular dynamics (MD) simulations are widely used for the calculation of numerically exact quantum Boltzmann properties and approximate dynamical quantities. A nearly universal feature of MD numerical integration…

化学物理 · 物理学 2019-09-25 Roman Korol , Nawaf Bou-Rabee , Thomas F. Miller

We introduce a numerical method to simulate nonlinear open quantum dynamics of a particle in situations where its state undergoes significant expansion in phase space while generating small quantum features at the phase-space Planck scale.…

NMR is emerging as a valuable testbed for the investigation of foundational questions in quantum mechanics. The present paper outlines the preparation of a class of mixed states, called pseudo-pure states, that emulate pure quantum states…

Including quantum mechanical effects on the dynamics of nuclei in the condensed phase is challenging, because the complexity of exact methods grows exponentially with the number of quantum degrees of freedom. Efforts to circumvent these…

化学物理 · 物理学 2015-06-23 Mariana Rossi , Hanchao Liu , Francesco Paesani , Joel Bowman , Michele Ceriotti

Molecular dynamics simulations were conducted to investigate the structural properties of melts of nonconcatenated ring polymers and compared to melts of linear polymers. The longest rings were composed of N=1600 monomers per chain which…

软凝聚态物质 · 物理学 2011-05-02 Jonathan D. Halverson , Won Bo Lee , Gary S. Grest , Alexander Y. Grosberg , Kurt Kremer