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Parabolic wave packets for time propagation of atomic hydrogen in an electric field of short laser pulses

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Abstract

We propose parabolic wave packets (PWP) as trial functions to solve the time-dependent Schrödinger equation (TDSE) for atomic hydrogen in a short laser pulse. Within the framework of the time-dependent variational principle, the TDSE is transformed into a set of first-order differential equations for the parameters of the wave packets. Thanks to the asymptotic properties of the PWP, the ionization amplitude is expressed in closed form in terms of the wave packets' parameters. The robustness of the method is first validated with a test model with analytical solution and then applied to the ionization process of atomic hydrogen in half- and few-cycle laser pulses. The results compare very well with those obtained with other approaches.

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All data are published in open sources.

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Acknowledgements

The research is carried out using the equipment of the Shared Facility Center ’Data Center of FEB RAS’ (Khabarovsk, Russia) [31]. The authors express special gratitude to Sergey Malkovsky.

Funding

This work is supported by the Russian Science Foundation (project no. 23-72-01072).

Author information

Authors and Affiliations

  1. School of Fundamental and Computer Sciences, Pacific National University, Khabarovsk, 680035, Russia

    Alexander Zaytsev, Darya Zaytseva & Sergey Zaytsev

  2. CNRS, LPCT, Université de Lorraine, 57000, Metz, France

    Lorenzo Ugo Ancarani

  3. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, 119991, Russia

    Yury Popov

  4. Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna, 141980, Moscow region, Russia

    Yury Popov

  5. Department of Nuclear Physics and Quantum Theory of Collisions, Faculty of Physics, Lomonosov Moscow State University, Moscow, 119991, Russia

    Konstantin Kouzakov

Authors
  1. Alexander Zaytsev
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  2. Darya Zaytseva
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  3. Sergey Zaytsev
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  4. Lorenzo Ugo Ancarani
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  5. Yury Popov
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  6. Konstantin Kouzakov
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Contributions

AZ and SZ contributed to conceptualization; LUA and YP contributed to methodology and writing—review and editing; AZ and DZ contributed to software; SZ and KK contributed to formal analysis and investigation; SZ contributed to writing—original draft preparation. All authors contributed equally to this work. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Sergey Zaytsev.

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Zaytsev, A., Zaytseva, D., Zaytsev, S. et al. Parabolic wave packets for time propagation of atomic hydrogen in an electric field of short laser pulses. Eur. Phys. J. Plus 139, 199 (2024). https://doi.org/10.1140/epjp/s13360-024-04989-4

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