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Related papers: Ionization in a 1-Dimensional Dipole Model

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We introduce the alchemical harmonic approximation (AHA) of the absolute electronic energy for charge-neutral iso-electronic diatomics at fixed interatomic distance $d_0$. To account for variations in distance, we combine AHA with this…

Chemical Physics · Physics 2024-12-10 Simon León Krug , Danish Khan , O. Anatole von Lilienfeld

The radiative recombination of a free electron into an excited state of a bare, high-Z ion is studied, together with its subsequent decay, within the framework of the density matrix theory and Dirac's relativistic equation. Special…

Atomic Physics · Physics 2010-11-29 A. V. Maiorova , A. Surzhykov , S. Tashenov , V. M. Shabaev , S. Fritzsche , G. Plunien , Th. Stoehlker

A framework is introduced for expressing electromagnetic (EM) potentials and fields of single atomic or molecular emitters modeled as oscillating dipoles, which follows a recently proposed method for solving inhomogeneous wave equations for…

Quantum Physics · Physics 2026-03-03 Valerica Raicu

In this paper, we are concerned with the study of stabilization problem for the following strongly degenerate wave equation in one space dimension $$w_{tt}(x,t)-\left(x^\alpha w_x(x,t)\right)_x=0$$ where ${\bf\alpha\in [1,2)}$. Thus, using…

Analysis of PDEs · Mathematics 2018-01-16 Akram Ben Aissa , Mohamed Ferhat , Ali Segher Kadai

The process of ionization of a hydrogen atom by a short infrared laser pulse is studied in the regime of very large pulse intensity, in the dipole approximation. Let $A$ denote the integral of the electric field of the pulse over time at…

Mathematical Physics · Physics 2015-05-18 Juerg Froehlich , Alessandro Pizzo , Benjamin Schlein

We consider a harmonically trapped Tonks-Girardeau gas of impenetrable bosons in the presence of a single embedded ion, which is assumed to be tightly confined in a RF trap. In an ultracold ion-atom collision the ion's charge induces an…

Quantum Gases · Physics 2013-06-18 J. Goold , H. Doerk , Z. Idziaszek , T. Calarco , Th. Busch

The dynamic atomic polarizability describes the response of the atom to incoming electromagnetic radiation. The functional form of the imaginary part of the polarizability for small driving frequencies omega has been a matter of…

Quantum Physics · Physics 2015-05-05 U. D. Jentschura , K. Pachucki

The ionization of two-active-electron systems by intense laser fields is investigated theoretically. In comparison with time-dependent Hartree-Fock and exact two electron simulation, we show that the ionization rate is overestimated in SAE…

Atomic Physics · Physics 2015-06-18 Zengxiu Zhao , Jianmin Yuan

Trapped diatomic molecular ions could prove to be a sensitive probe for a permanent electron electric dipole moment (eEDM). We propose to use a ground or metastable $^3\Delta_1$ level, due to its high polarizability and large EDM…

Simulations of the generation of the atomic polarization is necessary for interpreting the second solar spectrum. For this purpose, it is important to rigorously determine the effects of the isotropic collisions with neutral hydrogen on the…

Solar and Stellar Astrophysics · Physics 2016-08-24 Moncef Derouich

We present an exact Monte Carlo method to simulate the nonequilibrium dynamics of electron-phonon models in the adiabatic limit of zero phonon frequency. The classical nature of the phonons allows us to sample the equilibrium phonon…

Strongly Correlated Electrons · Physics 2022-02-16 Manuel Weber , James K. Freericks

We consider two semi-infinite magnetoelectric media with constant dielectric permittivity separated by a planar interface, whose electromagnetic response is described by non-dynamical axion electrodynamics and investigate the radiation of a…

Other Condensed Matter · Physics 2022-11-08 O. J. Franca , Luis F. Urrutia

We consider the flow of polarization current J(t)=dP/dt produced by a homogeneous electric field E(t) or by rapidly varying some other parameter in the Hamiltonian of a solid. For an initially insulating system and a collisionless time…

Materials Science · Physics 2009-11-10 Ivo Souza , Jorge Iniguez , David Vanderbilt

The Dicke spin-boson model is composed by a single bosonic mode and an ensemble of $N$ identical two-level atoms. Assuming thermal equilibrium with a reservoir at temperature $\beta^{-1}$, we consider the situation where the coupling…

Quantum Physics · Physics 2015-05-14 M. Aparicio Alcalde , A. H. Cardenas , N. F. Svaiter , V. B. Bezerra

We analysed the dynamics of the positively charged ions of diatomic molecules (${\rm X_{2}^{+}}$ and ${\rm XY^{+}}$), in which the bond is realised by the single electron. We assumed that the atomic cores separated by the distance $R$ were…

Chemical Physics · Physics 2020-03-20 I. A. Domagalska , M. W. Jarosik , A. P. Durajski , J. K. Kalaga , R. Szczęśniak

A theoretical study is performed for the excitation of a single atom localized in the center of twisted light modes. Here we present the explicit dependence of excitation rates on critical parameters, such as the polarization of light, its…

Atomic Physics · Physics 2020-07-29 S. A. -L. Schulz , A. A. Peshkov , R. A. Müller , R. Lange , N. Huntemann , Chr. Tamm , E. Peik , A. Surzhykov

An original approach is suggested to analysis of full quantum Liouville equation for single electron (quantum particle) interacting with ideal phonon gas (harmonic boson thermostat). It is shown that under the thermodynamic limit this…

Statistical Mechanics · Physics 2011-07-19 Yu. E. Kuzovlev

A unitary model describing the electronic transitions in an atom subject to a strong high frequency laser pulse is proposed. The model fully accounts for the initial state coupling with the continuum spectrum. Continuum-continuum as well as…

Atomic Physics · Physics 2016-05-10 M. G. Bustamante , V. D. Rodríguez

Strong field photoemission and electron recollision provide a viable route to extract electronic and nuclear dynamics from molecular targets with attosecond temporal resolution. However, since an {\em ab-initio} treatment of even the…

Atomic Physics · Physics 2016-11-02 N. Suárez , A. Chacón , M. F. Ciappina , B. Wolter , J. Biegert , M. Lewenstein

We consider an electrodiffusion model describing the evolution of $N$ ionic species in a three-dimensional fluid flowing through a porous medium and forced by added body charges. We address the global well-posedness and long-time dynamics…

Analysis of PDEs · Mathematics 2024-08-15 Elie Abdo , Đorđe Nikolić