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The split-operator pseudo-spectral method based on the fast Fourier transform (SO-FFT) is a fast and accurate method for the numerical solution of the time-dependent Schr\"odinger-like equations (TDSE). As well as other grid-based…

Atomic Physics · Physics 2015-09-02 Vladislav V. Serov , Tatiana A. Sergeeva

The purpose of this document is to describe the solution and implementation of the time-independent and time-dependent Schr\"odinger using pseudospectral methods. Currently, the description is for single particle systems interacting with a…

Quantum Physics · Physics 2024-04-08 Håkon Kristiansen , Einar Aurbakken

A semi-relativistic formulation of light-matter interaction is derived using the so called propagation gauge and the relativistic mass shift. We show that relativistic effects induced by a super-intense laser field can, to a surprisingly…

Quantum Physics · Physics 2018-12-26 Tor Kjellsson Lindblom , Morten Førre , Eva Lindroth , Sølve Selstø

We study the photoionization and autoionization of Helium atom subject to ultrashort laser pulses by using a Feshbach formalism in the time domain. We solve the time-dependent Schr\"odinger equation in terms of a configuration interaction…

Atomic Physics · Physics 2013-02-21 C. M. Granados-Castro , J. L. Sanz-Vicario

Polarizable dipoles, such as atoms, molecules or nanoparticles, subject to laser radiation, may attract or repel each other. We derive a general formalism in which such laser-induced dipole-dipole interactions (LIDDI) in any geometry and…

Quantum Physics · Physics 2014-04-29 Ephraim Shahmoon , Gershon Kurizki

High-power lasers are at the forefront of science in many domains. While their fields are still far from reaching the Schwinger limit, they have been used in extreme regimes, to successfully accelerate particles at high energies, or to…

Plasma Physics · Physics 2024-05-14 James R. Young , Pierre-Alexandre Gourdain

We introduce a time-dependent R-matrix theory generalised to describe double ionization processes. The method is used to investigate two-photon double ionization of He by intense XUV laser radiation. We combine a detailed B-spline-based…

Atomic Physics · Physics 2014-05-14 H. W. van der Hart

The time-dependent restricted-active-space self-consistent-field (TD-RASSCF) method is formulated based on the TD variational principle. In analogy with the configuration-interaction singles (CIS), singles-and-doubles (CISD),…

Quantum Physics · Physics 2014-06-26 Haruhide Miyagi , Lars Bojer Madsen

While the Landau-Lifshitz equation, which describes classical radiation reaction, can be solved exactly and analytically for a charged particle accelerated by a plane electromagnetic wave, no such solutions are available for quantum…

Plasma Physics · Physics 2024-02-28 T. G. Blackburn

We present a general scheme for synthesizing a spatially periodic magnetic field, or a magnetic lattice (ML), for ultracold atoms using pulsed gradient magnetic fields. Both the period and the depth of the artificial ML can be tuned, immune…

Quantum Gases · Physics 2016-01-20 Xinyu Luo , Lingna Wu , Jiyao Chen , Rong Lu , Ruquan Wang , L. You

Triple-differential cross sections for two-photon double ionization of molecular hydrogen are presented for a central photon energy of 30 eV. The calculations are based on a fully {\it ab initio}, nonperturbative, approach to the…

Atomic Physics · Physics 2016-11-17 Xiaoxu Guan , Klaus Bartschat , Barry I. Schneider

We present a numerical implementation of the gauge-invariant time-dependent configuration interaction singles (TDCIS) method [Appl. Sci. 8, 433 (2018)] for three-dimensional atoms. In our implementation, orbital-like quantity called channel…

Atomic Physics · Physics 2019-10-09 Takuma Teramura , Takeshi Sato , Kenichi L. Ishikawa

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

For the description of nonsequential double ionization (NSDI) of rare-gas atoms by a strong linearly polarized laser field, the quantum-mechanical $S$-matrix diagram that incorporates rescattering impact ionization is evaluated in the…

Atomic Physics · Physics 2007-05-23 C. Figueira de Morisson Faria , X. Liu , H. Schomerus , W. Becker

Multiple scattering theory is applied to low-energy electron collisions with a complex target formed of two molecular scatterers. The total T-matrix is expressed in terms of the T-matrix for each isolated molecule. We apply the approach to…

Chemical Physics · Physics 2009-11-13 D. Bouchiha , L. G. Caron , J. D. Gorfinkiel , L. Sanche

We show that resonant dipole-dipole interactions between Rydberg atoms in a triangular lattice can give rise to artificial magnetic fields for spin excitations. We consider the coherent dipole-dipole coupling between $np$ and $ns$ Rydberg…

Atomic Physics · Physics 2017-01-17 Martin Kiffner , Edward O'Brien , Dieter Jaksch

We present both full quantum mechanical and semiclassical calculations of above threshold ionization (ATI) of a hydrogen atom in the tunneling regime by a few-cycle linearly polarized infrared laser pulse. As a quantum treatment, we applied…

Atomic Physics · Physics 2017-04-26 Viktor Ayadi , Peter Foldi , Peter Dombi , Karoly Tokesi

We formulate a computationally efficient time-independent method based on the multi-electron molecular R-matrix formalism. This method is used to calculate transition matrix elements for the multi-photon ionization of atoms and molecules…

Atomic Physics · Physics 2022-05-10 Jakub Benda , Zdeněk Mašín

We present the numerical implementation of the time-dependent complete-active-space self-consistent-field (TD-CASSCF) method [Phys. Rev. A, 88, 023402 (2013)] for atoms driven by a strong linearly polarized laser pulse. The present…

A laser pulse composed of a fundamental and an appropriately phased second harmonic can drive a time-dependent current of photoionized electrons that generates broadband THz radiation. Over the propagation distances relevant to many…