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Here, we investigate the physical mechanisms that may enable squeezing a complex electromagnetic field distribution through a narrow and/or partially obstructed region with little amplitude and phase distortions. Following our recent works,…

Materials Science · Physics 2015-06-03 Mario G. Silveirinha , Nader Engheta

Photoelectron spectra obtained from the ab initio solution of the time-dependent Schr\"odinger equation can be in striking disagreement with predictions by the strong-field approximation (SFA) not only at low energy but also around twice…

Atomic Physics · Physics 2016-12-14 Th. Keil , S. V. Popruzhenko , D. Bauer

We analyse a nonlinear Schr\"odinger equation for the time-evolution of the wave function of an electron beam, interacting selfconsistently through a Hartree-Fock nonlinearity and through the repulsive Coulomb interaction of an atomic…

Analysis of PDEs · Mathematics 2012-09-28 Paolo Antonelli , Agisillaos Athanassoulis , Hichem Hajaiej , Peter Markowich

Owing to its numerical simplicity, a two-dimensional two-electron model atom, with each electron moving in one direction, is an ideal system to study non-perturbatively a fully correlated atom exposed to a laser field. Frequently made…

Atomic Physics · Physics 2009-10-30 D. Bauer

We show that the exact exchange-correlation potential of time-dependent density-functional theory displays dynamical step structures that have a spatially non-local and time non-local dependence on the density. Using one-dimensional…

Chemical Physics · Physics 2015-06-12 Peter Elliott , Johanna I. Fuks , Angel Rubio , Neepa T. Maitra

In this article we present the exact representation of a fully correlated electronic wavefunction as the single-particle basis approaches completeness. It consists of a half-infinite chain of matrices of exponentially increasing size. The…

Quantum Physics · Physics 2022-05-04 Gero Friesecke , Benedikt R. Graswald , Örs Legeza

An analytic description of laser-assisted electron-atom scattering (LAES) in an elliptically polarized field is presented using time-dependent effective range (TDER) theory to treat both electron-laser and electron-atom interactions…

Atomic Physics · Physics 2015-06-12 A. V. Flegel , M. V. Frolov , N. L. Manakov , Anthony F. Starace , A. N. Zheltukhin

We present a numerical method for investigating the non-perturbative quantum mechanical interaction of light with atoms in two dimensions, without a basis expansion. This enables us to investigate intense laser-atom interactions with light…

Quantum Physics · Physics 2009-10-30 M. Protopapas , D. G. Lappas , P. L. Knight

We apply the coupled dynamics of time-dependent density functional theory and Maxwell equations to the interaction of intense laser pulses with crystalline silicon. As a function of electromagnetic field intensity, we see several regions in…

Other Condensed Matter · Physics 2015-06-03 K. Yabana , T. Sugiyama , Y. Shinohara , T. Otobe , G. F. Bertsch

We investigate the accuracy and efficiency of the semiclassical Frozen Gaussian method in describing electron dynamics in real time. Model systems of two soft-Coulomb-interacting electrons are used to study correlated dynamics under…

Chemical Physics · Physics 2015-05-30 Peter Elliott , Neepa T. Maitra

The ionization dynamics of a two-electron atom in an attosecond XUV-infrared pump-probe experiment is simulated by solving the time-dependent two-electron Schr\"odinger equation. A dramatic change of the double ionization (DI) yield with…

Atomic Physics · Physics 2010-11-29 S. Bauch , K. Balzer , M. Bonitz

We demonstrate that electrons can be efficiently accelerated to high energy in spatially non-uniform, intense laser fields. Laser non-uniformities occur when a perfect plane wave reflects off a randomly perturbed surface. By solving for…

Plasma Physics · Physics 2020-10-05 Mark Sherlock

We have implemented a three-dimensional finite element approach, based on tricubic polynomials in spherical coordinates, which solves the Schrodinger equation for scattering of a low energy electron from a molecule, approximating the…

Chemical Physics · Physics 2009-11-10 Stefano Tonzani , Chris H. Greene

Recent advances in laser technology enable to follow electronic motion at its natural time-scale with ultrafast pulses, leading the way towards atto- and femtosecond spectroscopic experiments of unprecedented resolution. Understanding of…

Chemical Physics · Physics 2023-07-12 Marius Kadek , Lukas Konecny , Michal Repisky

We propose a simple linear scaling expression in reciprocal space for evaluating the ion--electron potential of crystalline solids. The expression replaces the long-range ion--electron potential with an equivalent localized charge…

Materials Science · Physics 2016-12-21 Xuecheng Shao , Wenhui Mi , Qiang Xu , Yanchao Wang , Yanming Ma

A closed expression for the harmonic oscillator wave function after the passage of a linear signal with arbitrary time dependence is derived. Transition probabilities are simple to express in terms of Laguerre polynomials. Spontaneous…

Quantum Physics · Physics 2007-05-23 Bodo Hamprecht

A theory describing above-threshold ionization of atoms and ions in a strong electromagnetic field is presented. It is based on the widely known strong field approximation and incorporates the Coulomb interaction between the photoelectron…

Atomic Physics · Physics 2009-11-13 S. V. Popruzhenko , D. Bauer

Using an accurate semi-analytic wavefunction for two electron atoms, we construct the external potential for varying strength of electron-electron (e-e) interaction. Using this potential we explicitly calculate the energy of their positive…

Atomic and Molecular Clusters · Physics 2016-02-18 Rabeet Singh Chauhan , Manoj K. Harbola

We investigate the coupling of the spin angular momentum of light beams with elliptical polarization to the spin degree of freedom of free electrons. It is shown that this coupling, which is of similar origin as the well-known spin-orbit…

Quantum Physics · Physics 2014-11-04 Heiko Bauke , Sven Ahrens , Rainer Grobe

Electron-core interactions play a key role in strong-field ionization and the formation of photoelectron spectra. We analyse the temporal dynamics of strong field ionization associated with these interactions using the time-dependent…

Atomic Physics · Physics 2015-06-16 Lisa Torlina , Jivesh Kaushal , Olga Smirnova