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Modelling laser-atom interactions in the strong field regime

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Abstract

We consider the ionisation of atomic hydrogen by a strong infrared field. We extend and study in more depth an existing semi-analytical model. Starting from the time-dependent Schrödinger equation in momentum space and in the velocity gauge we substitute the kernel of the non-local Coulomb potential by a sum of N separable potentials, each of them supporting one hydrogen bound state. This leads to a set of N coupled one-dimensional linear Volterra integral equations to solve. We analyze the gauge problem for the model, the different ways of generating the separable potentials and establish a clear link with the strong field approximation which turns out to be a limiting case of the present model. We calculate electron energy spectra as well as the time evolution of electron wave packets in momentum space. We compare and discuss the results obtained with the model and with the strong field approximation and examine in this context the role of excited states.

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Authors and Affiliations

  1. Institute of Condensed Matter and Nanosciences, Université Catholique de Louvain, 2 chemin du cyclotron, Box L7.01.07, 1348, Louvain-la-Neuve, Belgium

    Alexander Galstyan, Noël Janssens & Bernard Piraux

  2. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Leninskie Gory 1, 119991, Moscow, Russia

    Yuri V. Popov

  3. Joint Institute for Nuclear Research, Zholio-Kyuri str. 6, 141980, Dubna, Russia

    Yuri V. Popov & Ochbadrakh Chuluunbaatar

  4. Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK

    Francisca Mota-Furtado, Patrick F. O’Mahony & Samuel D. Jenkins

  5. Peoples’ Friendship University of Russia, Miklukho-Maklaya str. 6, 117198, Moscow, Russia

    Ochbadrakh Chuluunbaatar

Authors
  1. Alexander Galstyan
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  2. Yuri V. Popov
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  3. Francisca Mota-Furtado
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  4. Patrick F. O’Mahony
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  5. Noël Janssens
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  6. Samuel D. Jenkins
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  7. Ochbadrakh Chuluunbaatar
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  8. Bernard Piraux
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Corresponding author

Correspondence to Alexander Galstyan.

Additional information

Contribution to the Topical Issue “Many Particle Spectroscopy of Atoms, Molecules, Clusters and Surfaces”, edited by A.N. Grum-Grzhimailo, E.V. Gryzlova, Yu V. Popov, and A.V. Solov’yov.

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Galstyan, A., Popov, Y.V., Mota-Furtado, F. et al. Modelling laser-atom interactions in the strong field regime. Eur. Phys. J. D 71, 97 (2017). https://doi.org/10.1140/epjd/e2017-70707-8

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  • DOI: https://doi.org/10.1140/epjd/e2017-70707-8

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