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 |
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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 |
format | Article |
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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.
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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</description><subject>Applications of Nonlinear Dynamics and Chaos Theory</subject><subject>Atomic</subject><subject>Attosecond pulses</subject><subject>Coulomb potential</subject><subject>Iterative methods</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Physical Chemistry</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Information Technology</subject><subject>Quantum Physics</subject><subject>Regular Article - Ultraintense and Ultrashort Laser Fields</subject><subject>Schrodinger equation</subject><subject>Spectroscopy/Spectrometry</subject><subject>Spintronics</subject><issn>1434-6060</issn><issn>1434-6079</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2021</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNqFkM1KxDAQgIMouK4-gwXPdSc_TdujLP4sLHjRc0jaqba0TU2ygjffwTf0Scxa0aOn-WG-GeYj5JzCJaUCVjh19cpTgIynwGgKQHORlgdkQQUXqYS8PPzNJRyTE-87AGCZkAuy2QR0OrSvmASHOgw4hsQ2SXjGZG13vR1MMtkQu63uk3ZMeu3Rfb5_6GCHWO_pKrR29KfkqNG9x7OfuCSPN9cP67t0e3-7WV9t04pTHlKKyAomdJ7pqqamYVDquuEgBCKXVZbRwojKYCZracqmLqVkYFgDvK4Kwwxfkot57-Tsyw59UJ3duTGeVPGlQgpeFjJO5fNU5az3Dhs1uXbQ7k1RUHtvau9Nzd5U9Ka-vakyksVM-kiMT-j-9v-HfgHeHnYz</recordid><startdate>20210701</startdate><enddate>20210701</enddate><creator>Piraux, B.</creator><creator>Galstyan, A.</creator><creator>Popov, Yu. V.</creator><creator>Mota-Furtado, F.</creator><creator>O’Mahony, P. F.</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><orcidid>https://orcid.org/0000-0003-1266-9302</orcidid></search><sort><creationdate>20210701</creationdate><title>Iterative treatment of the Coulomb potential in laser–atom interactions</title><author>Piraux, B. ; Galstyan, A. ; Popov, Yu. V. ; Mota-Furtado, F. ; O’Mahony, P. F.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c313t-1ee2824a75acd1bf209adf3044ee36c5518b4cbe56d6b9fd96620b2f03dc8b2b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2021</creationdate><topic>Applications of Nonlinear Dynamics and Chaos Theory</topic><topic>Atomic</topic><topic>Attosecond pulses</topic><topic>Coulomb potential</topic><topic>Iterative methods</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Physical Chemistry</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Information Technology</topic><topic>Quantum Physics</topic><topic>Regular Article - Ultraintense and Ultrashort Laser Fields</topic><topic>Schrodinger equation</topic><topic>Spectroscopy/Spectrometry</topic><topic>Spintronics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Piraux, B.</creatorcontrib><creatorcontrib>Galstyan, A.</creatorcontrib><creatorcontrib>Popov, Yu. V.</creatorcontrib><creatorcontrib>Mota-Furtado, F.</creatorcontrib><creatorcontrib>O’Mahony, P. F.</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Piraux, B.</au><au>Galstyan, A.</au><au>Popov, Yu. V.</au><au>Mota-Furtado, F.</au><au>O’Mahony, P. F.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Iterative treatment of the Coulomb potential in laser–atom interactions</atitle><jtitle>The European physical journal. D, Atomic, molecular, and optical physics</jtitle><stitle>Eur. Phys. J. D</stitle><date>2021-07-01</date><risdate>2021</risdate><volume>75</volume><issue>7</issue><artnum>196</artnum><issn>1434-6060</issn><eissn>1434-6079</eissn><abstract>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.
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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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