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Analysis of light-induced diffusion ionization of a three-dimensional hydrogen atom based on the Floquet technique and split-operator method

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Abstract

A stable symplectic scheme for calculating particle trajectories in time-periodic force fields based on the Floquet technique and split-operator method is described. The dynamics of a three-dimensional hydrogen atom under the action of an external linearly polarized microwave electric field is studied in a numerical experiment. Under conditions of the implemented dynamical chaos, features in the evolution of angular momentum L(t) of a Rydberg electron (RE) that do not meet the assumptions of traditional theoretical approaches for describing light-induced diffusion ionization of the RE are revealed.

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References

  1. G. M. Zaslavskii, R. Z. Sagdeev, D. A. Usikov, and A. A. Chernikov, Weak Chaos and Quasi-Regular Structures (Nauka, Moscow, 1991) [in Russian].

    Book  Google Scholar 

  2. N. B. Delone, V. P. Krainov, and D. L. Shepelyanskii, Usp. Fiz. Nauk 140, 335 (1983).

    Article  ADS  Google Scholar 

  3. B. E. Sauer, S. Yokum, L. Moorman, et al., Phys. Rev. Lett. 68, 468 (1992).

    Article  ADS  Google Scholar 

  4. M. Yu. Zakharov, N. N. Bezuglov, A. N. Klyucharev, et al., Khim. Fiz. 30, 2 (2011).

    Google Scholar 

  5. V. P. Krainov, Zh. Eksp. Teor. Fiz. 138, 196 (2010).

    Google Scholar 

  6. B. Kaulakys and G. Vilutis, Phys. Scr. 59, 251 (1999).

    Article  ADS  Google Scholar 

  7. N. N. Bezuglov, V. M. Borodin, et al., Opt. Spektrosk. 93(5), 661 (2002).

    Article  ADS  Google Scholar 

  8. C. Bracher, T. Kramer, and J. B. Delos, Phys. Rev. A 73, 062114 (2006).

    Article  ADS  Google Scholar 

  9. E. I. Dashevskaya, I. Litvin, E. E. Nikitin, et al., Phys. Chem. Chem. Phys. 4, 3330 (2002).

    Article  Google Scholar 

  10. K. Miculis, I. I. Beterov, N. N. Bezuglov, et al., J. Phys. B 38, 1811 (2005).

    Article  ADS  Google Scholar 

  11. E. Hairer, Numerical Geometric Integration (Universite de Geneve, Geneve, 1999).

    Google Scholar 

  12. G. S. Balaraman and D. Vrinceanu, Phys. Lett. A 369, 188 (2007).

    Article  ADS  Google Scholar 

  13. S.-I. Cgua and D. A. Telnov, Phys. Rep. 390, 1 (2004).

    Article  ADS  MathSciNet  Google Scholar 

  14. V. I. Arnol’d, Mathematical Methods of Classical Mechanics (Nauka, Moscow, 1974).

    MATH  Google Scholar 

  15. L. D. Landau and E. M. Lifshitz, Mechanics (Nauka, Moscow, 1973).

    Google Scholar 

  16. A. K. Kazansky, N. N. Bezuglov, et al., Phys. Rev. A 64, 022719 (2001).

    Article  ADS  Google Scholar 

  17. L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Nonrelativistic Theory (Nauka, Moscow, 1989).

    Google Scholar 

  18. A. K. Kazansky and N. N. Bezuglov, J. Phys. 33, 99 (2000).

    ADS  Google Scholar 

  19. G. V. Golubkov and A. Z. Devdariani, Khim. Fiz., No. 11, 31 (2011).

    Google Scholar 

  20. H. Yoshida, Phys. Lett. A 150, 262 (1990).

    Article  ADS  MathSciNet  Google Scholar 

  21. M. Suzuki, Phys. Lett. A 165, 387 (1992).

    Article  ADS  MathSciNet  Google Scholar 

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Correspondence to D. K. Efimov.

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Original Russian Text © D.K. Efimov, N.N. Bezuglov, A.N. Klyucharev, Yu.N. Gnedin, K. Miculis, A. Ekers, 2014, published in Optika i Spektroskopiya, 2014, Vol. 117, No. 1, pp. 10–19.

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Efimov, D.K., Bezuglov, N.N., Klyucharev, A.N. et al. Analysis of light-induced diffusion ionization of a three-dimensional hydrogen atom based on the Floquet technique and split-operator method. Opt. Spectrosc. 117, 8–17 (2014). https://doi.org/10.1134/S0030400X1407008X

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  • DOI: https://doi.org/10.1134/S0030400X1407008X

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