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In this work, we investigate the capability of known quantum-computing algorithms for fault-tolerant quantum computing to simulate the laser-driven electron dynamics in small molecules such as lithium hydride. These computations are…

Quantum Physics · Physics 2022-05-24 Fabian Langkabel , Annika Bande

Firstly, the Markovian stochastic Schr\"odinger equations are presented, together with their connections with the theory of measurements in continuous time. Moreover, the stochastic evolution equations are translated into a simulation…

Quantum Physics · Physics 2014-03-17 I. Semina , V. Semin , F. Petruccione , A. Barchielli

We present a novel quantum-classical approach to non-adiabatic dynamics, deduced from the coupled electronic and nuclear equations in the framework of the exact factorization of the electron-nuclear wave function. The method is based on the…

Chemical Physics · Physics 2015-08-19 Seung Kyu Min , Federica Agostini , E. K. U. Gross

Nuclear quantum effects and non-Born--Oppenheimer effects play a vital role in many chemical and biological processes, motivating the incorporation of such effects into dynamical simulations. In real-time nuclear--electronic orbital…

Chemical Physics · Physics 2026-05-27 Nicholas J. Boyer , Sharon Hammes-Schiffer

The control and manipulation of quantum systems without excitation is challenging, due to the complexities in fully modeling such systems accurately and the difficulties in controlling these inherently fragile systems experimentally. For…

Geometric integrators of the Schr\"{o}dinger equation conserve exactly many invariants of the exact solution. Among these integrators, the split-operator algorithm is explicit and easy to implement, but, unfortunately, is restricted to…

Chemical Physics · Physics 2024-09-26 Seonghoon Choi , Jiří Vaníček

In molecular dynamics simulations under periodic boundary conditions, particle positions are typically wrapped into a reference box. For diffusion coefficient calculations using the Einstein relation, the particle positions need to be…

Computational Physics · Physics 2020-08-26 Sören von Bülow , Jakob Tómas Bullerjahn , Gerhard Hummer

The force exerted by the electrons on the nuclei of a current-carrying molecular junction can be manipulated to engineer nanoscale mechanical systems. In the adiabatic regime a peculiarity of these forces is negative friction, responsible…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Alexey Kartsev , Claudio Verdozzi , Gianluca Stefanucci

We introduce a simple ansatz for the wavefunction of a many-body system based on coupled forward and backward-propagating semiclassical trajectories. This method is primarily aimed at, but not limited to, treating nonequilibrium dynamics in…

Chemical Physics · Physics 2018-05-01 Shunsuke A. Sato , Aaron Kelly , Angel Rubio

The multi-mode anharmonic Brownian motion model provides a universal framework for simulating molecular vibrations in condensed phases. When vibrational energy surpasses thermal excitation, quantum effects become significant, necessitating…

Chemical Physics · Physics 2026-03-18 Ryotaro Hoshino , Yoshitaka Tanimura

We demonstrate that ultrashort pulses carry the possibility for a new regime of light-matter interaction with nonadiabatic electron processes sensitive to the envelope-derivative of the light pulse. A standard single pulse with its two…

Optics · Physics 2018-02-21 Qi-Cheng Ning , Ulf Saalmann , Jan M. Rost

We study the dynamics of an inertial active Ornstein-Uhnlenbeck particle self-propelling in a confined harmonic well. The transport behaviour of the particle is investigated by analyzing the particle trajectories, steady state correlations,…

Statistical Mechanics · Physics 2023-06-28 N Arsha , K P Jepsin , M Sahoo

Attosecond chemistry involves developing strategies to manipulate electronic coherent waves in molecules, which can influence the outcome of photoinduced reactions. While recent progress in this field calls for investigations of…

Chemical Physics · Physics 2026-04-22 Evan Munaro-Langloÿs , Franck Lépine , Victor Despré

We present the results of three-dimensional hydrodynamical simulations of the final stages of inspiral in a black hole-neutron star binary, when the separation is comparable to the stellar radius. We use a Newtonian Smooth Particle…

Astrophysics · Physics 2009-11-07 William H. Lee

A theoretical study is reported of the molecular-to-atomic transition in solid hydrogen at high pressure. We use the diffusion quantum Monte Carlo method to calculate the static lattice energies of the competing phases and a…

Materials Science · Physics 2014-04-23 Sam Azadi , Bartomeu Monserrat , W. M. C. Foulkes , R. J. Needs

We develop an analog classical simulation algorithm of noiseless quantum dynamics. By formulating the Schr\"{o}dinger equation into a linear system of real-valued ordinary differential equations (ODEs), the probability amplitudes of a…

Quantum Physics · Physics 2025-02-11 Ka-Wa Yip

Electron transfer is an important and fundamental process in chemistry, biology and physics, and has received significant attention in recent years. Perhaps one of the most intriguing questions concerns with the realization of the…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Bokang Hou , Michael Thoss , Uri Banin , Eran Rabani

We present a computational protocol, based on density matrix perturbation theory, to obtain non-adiabatic, frequency-dependent electron-phonon self-energies for molecules and solids. Our approach enables the evaluation of electron-phonon…

Materials Science · Physics 2023-05-09 Han Yang , Marco Govoni , Arpan Kundu , Giulia Galli

We argue that stochastic and resonant ion heating, often viewed as distinct processes in low-$\beta$ collisionless plasmas, are the far limits of a continuum controlled by nonlinear broadening of turbulent fluctuations, and thus by the…

Solar and Stellar Astrophysics · Physics 2025-09-03 Zade Johnston , Jonathan Squire , Romain Meyrand

Particle acceleration is an ubiquitous phenomenon in astrophysical and space plasma. Diffusive shock acceleration (DSA) and stochastic turbulent acceleration are known to be the possible mechanisms for producing very high energetic…

High Energy Astrophysical Phenomena · Physics 2021-11-17 Sayan Kundu , Bhargav Vaidya , Andrea Mignone
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