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The assumptions underpinning the adiabatic Born-Oppenheimer (BO) approximation are broken for molecules interacting with attosecond laser pulses, which generate complicated coupled electronic-nuclear wavepackets that generally will have…

Chemical Physics · Physics 2024-05-17 Aleksander P. Woźniak , Ludwik Adamowicz , Thomas Bondo Pedersen , Simen Kvaal

We study the formation of the RbCs molecule by an intense laser pulse using nonlinear dynamics. Under the Born-Oppenheimer approximation, the system is modeled by a two degree of freedom rovibrational Hamiltonian, which includes the ground…

Chaotic Dynamics · Physics 2017-04-05 Cristel Chandre , J Mahecha , J Salas

A strong inhomogeneous static electric field is used to spatially disperse a supersonic beam of polar molecules, according to their quantum state. We show that the molecules residing in the lowest-lying rotational states can be selected and…

Within the nuclear-electronic orbital (NEO) framework, the real-time NEO time-dependent density functional theory (RT-NEO-TDDFT) approach enables the simulation of coupled electronic-nuclear dynamics. In this approach, the electrons and…

Chemical Physics · Physics 2023-03-22 Tao E. Li , Sharon Hammes-Schiffer

We explore the laser-induced ionization dynamics of N2 and CO2 molecules subjected to a few-cycle, linearly polarized, 800\,nm laser pulse using effective two-dimensional single active electron time-dependent quantum simulations. We show…

Atomic Physics · Physics 2012-10-02 Michel Peters , Tung Nguyen-Dang , Eric Charron , Arne Keller , Osman Atabek

Quantum computing has the potential to reduce the computational cost required for quantum dynamics simulations. However, existing quantum algorithms for coupled electron-nuclear dynamics simulation either require fault-tolerant devices, or…

Quantum Physics · Physics 2026-03-03 Jong-Kwon Ha , Ryan J. MacDonell

We study a general problem of the translational/rotational/vibrational/electronic dynamics of a diatomic molecule exposed to an interaction with an arbitrary external electromagnetic field. The theory developed in this paper is relevant to…

Quantum Physics · Physics 2016-09-28 Milan Sindelka , Nimrod Moiseyev

The alternative to dynamic alignment explanation of experimental results on spatial-asymmetric dissociation of molecules in a laser field is proposed. The concept of geometrical alignment is sufficient for explanation of these results. In…

Optics · Physics 2007-05-23 V. A. Kuz'menko

In this manuscript we present a theoretical framework and its numerical implementation to simulate the out-of-equilibrium electron dynamics induced by the interaction of ultrashort laser pulses in condensed-matter systems. Our approach is…

We develop a mathematically simple yet accurate model for the single-pulse non-resonant impulsive alignment of thermal ensembles of linear molecules. We find that our molecular alignment model not only provides a simplification for…

Optics · Physics 2023-06-08 A. Löhr , M. Ivanov , M. Khokhlova

We formulate a time-dependent density functional theory for the coupled dynamics of electrons and nuclei that goes beyond the Born-Oppenheimer (BO) approximation. We prove that the time-dependent marginal nuclear probability density…

Chemical Physics · Physics 2025-11-14 Chen Li , Ryan Requist , E. K. U. Gross

The coupling of a molecule and a cavity induces non-adiabaticity in the molecule which makes the description of its dynamics complicated. For polyatomic molecules, reduced-dimensional models and the use of the Born-Oppenheimer approximation…

Chemical Physics · Physics 2020-09-18 Csaba Fábri , Gábor J. Halász , Lorenz S. Cederbaum , Ágnes Vibók

We explore the role of laser induced anti-alignment in enhancing molecular orientation. A field-free enhanced orientation via anti-alignment scheme is presented, which combines a linearly polarized femtosecond laser pulse with a half-cycle…

Optics · Physics 2009-11-11 E. Gershnabel , I. Sh. Averbukh , Robert J. Gordon

An alternative method is introduced to solve a simple two-dimensional models describing vibrational excitation and dissociation processes during the electron-molecule collisions. The model works with one electronic and one nuclear degree of…

Chemical Physics · Physics 2018-12-19 Roman Čurík , Dávid Hvizdoš , Chris H. Greene

We analyze the entanglement between electronic and nuclear motions in molecular wave functions, by using different widely used ansatzes in molecular Hamiltonian models (H$^+_2$ in 1D and the Shin-Metiu model); namely, i) Born-Oppenheimer…

Quantum Physics · Physics 2025-11-13 Juan F. P. Mosquera , Jose Luis Sanz-Vicario

In this paper, we consider the time-dependent Born-Oppenheimer approximation (BOA) of a classical quantum molecule involving a possibly large number of nuclei and electrons, described by a Schr\"odinger equation. In the spirit of Born and…

Quantum Physics · Physics 2025-05-27 Sebastian Gherghe , Iván Moyano , Israel Michael Sigal

We apply the Born--Oppenheimer approximation to a harmonic diatomic molecule with one electron. We compare the exact and approximate results not only for the internal degrees of freedom but also for the motion of the center of mass. We…

Mathematical Physics · Physics 2017-07-18 Francisco M. Fernández

To leverage the redundancy between the electronic structure computed at each step of first-principles molecular dynamics, we present a data-driven modeling framework for Kohn-Sham Density Functional Theory that bypasses the explicit…

Numerical Analysis · Mathematics 2026-02-27 Siu Wun Cheung , Youngsoo Choi , Jean-Luc Fattebert , Jonas Kaufman , Daniel Osei-Kuffuor

Born-Oppenheimer dynamics is shown to provide an accurate approximation of time-independent Schr\"odinger observables for a molecular system with an electron spectral gap, in the limit of large ratio of nuclei and electron masses, without…

Mathematical Physics · Physics 2011-09-21 Christian Bayer , Håkon Hoel , Petr Plecháč , Anders Szepessy , Raúl Tempone

While the treatment of conical intersections in molecular dynamics generally requires nonadiabatic approaches, the Born-Oppenheimer adiabatic approximation is still adopted as a valid alternative in certain circumstances. In the context of…

Chemical Physics · Physics 2020-09-16 Jonathan I. Rawlinson , Cesare Tronci
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