Iterative treatment of the Coulomb potential in laser–atom interactions

We discuss a Faddeev-like iterative approach which allows one to consistently include the Coulomb potential in strong field phenomena through a Born series. To assess the validity of this approach, we calculate the probability of excitation to given states of atomic hydrogen exposed to radiation pul...

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Veröffentlicht in:The European physical journal. D, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2021-07, Vol.75 (7), Article 196
Hauptverfasser: Piraux, B., Galstyan, A., Popov, Yu. V., Mota-Furtado, F., O’Mahony, P. F.
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container_title The European physical journal. D, Atomic, molecular, and optical physics
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creator Piraux, B.
Galstyan, A.
Popov, Yu. V.
Mota-Furtado, F.
O’Mahony, P. F.
description We discuss a Faddeev-like iterative approach which allows one to consistently include the Coulomb potential in strong field phenomena through a Born series. To assess the validity of this approach, we calculate the probability of excitation to given states of atomic hydrogen exposed to radiation pulses of various frequencies, durations and peak intensities and compare our results with those obtained by solving numerically the time-dependent Schrödinger equation. We obtain excellent agreement for a range of frequencies. As the frequency decreases, many high-order terms have to be included in order to get convergence of the Born series. Our results indicate that this Faddeev-like method is particularly suitable to treat the interaction of atoms with attosecond pulses. For the lowest frequency considered ( ω = 0.057 a.u.), we study in more detail the re-collision-based frustrated tunneling process in atomic hydrogen and compare our results with those existing in the literature. Graphic Abstract
doi_str_mv 10.1140/epjd/s10053-021-00174-9
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subjects Applications of Nonlinear Dynamics and Chaos Theory
Atomic
Attosecond pulses
Coulomb potential
Iterative methods
Molecular
Optical and Plasma Physics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Information Technology
Quantum Physics
Regular Article - Ultraintense and Ultrashort Laser Fields
Schrodinger equation
Spectroscopy/Spectrometry
Spintronics
title Iterative treatment of the Coulomb potential in laser–atom interactions
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