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Rydberg Atoms: From Determinism to Chaos

  • Elementary Physicochemical Processes
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Abstract

R.F. Stebbings and F.B. Dunning were the editors of Rydberg States of Atoms and Molecules. Issued in 1983, this book actually reflected the emergence of a new field in atomic and molecular physics, which subsequently resulted in a number of applications in academic sciences and technology. In this paper, we analyze the results obtained in recent years for ionization processes in collisions of heavy particles with the participation of Rydberg atoms in a wide energy range. These results have been actively used in modern applications of atomic physics. In addition, we consider the influence of nonlinear resonant interaction of Rydberg complexes with electromagnetic waves on the rate of propagation of satellite signals in the atmosphere.

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References

  1. Rydberg States of Atoms and Molecules, Ed. by R. F. Stebbings and F. B. Dunning (Cambridge Univ. Press, Cambridge, London, New York, 1983).

    Google Scholar 

  2. R. K. Janev and A. A. Mihajlov, Phys. Rev. A 21, 819 (1980).

    Article  CAS  Google Scholar 

  3. A. A. Mihajlov and R. K. Janev, J. Phys. B 14, 639 (1981).

    Article  Google Scholar 

  4. E. L. Duman and N. P. Shmatov, Sov. Phys. JETP 52, 1071 (1980).

    Google Scholar 

  5. P. M. Koch and K. A. H. Leeuwen, Phys. Rep. 255, 289 (1995).

    Article  CAS  Google Scholar 

  6. N. B. Delone, V. N. Krainov, and D. L. Shepelyanskii, Sov. Phys. Usp. 26, 551 (1983).

    Article  Google Scholar 

  7. N. N. Bezuglov, V. M. Borodin, A. N. Klyucharev, et al., Russ. J. Phys. Chem. 76, S27 (2002).

    Google Scholar 

  8. G. V. Golubkov and G. K. Ivanov, J. Phys. B 21, 2049 (1989).

    Article  Google Scholar 

  9. G. M. Zaslavskii and R. Z. Sagdeev, Introduction to Nonlinear Physics (Nauka, Moscow, 1988) [in Russian].

    Google Scholar 

  10. G. M. Zaslavskij, Hamiltonian Chaos and Fractional Dynamics (Oxford Univ. Press, Oxford, 2005).

    Google Scholar 

  11. J. G. Leopold and I. C. Persival, Phys. Rev. Lett. 4, 944 (1978).

    Article  Google Scholar 

  12. A. Z. Devdariani, A. N. Klyucharev, N. P. Penkin, et al., Opt. Spectrosc. 64, 425 (1988).

    Google Scholar 

  13. M. J. Seaton, Rep. Prog. Phys. 40, 167 (1983).

    Article  Google Scholar 

  14. Special Issue on Rydberg, Ed. by R. Côté, T. Pattard, and M. Weidemüler, J. Phys. B 38 (2) (2005).

    Google Scholar 

  15. D. Tong, S. M. Forooqi, J. S. Stanovic, et al., Phys. Rev. Lett. 93, 063001 (2004).

    Article  CAS  Google Scholar 

  16. J. R. Rydberg, Zs. Phys. Chem. (Leipzig) 5, 227 (1880).

    Google Scholar 

  17. E. Fermi, Nuovo Cimento 11, 157 (1934).

    Article  CAS  Google Scholar 

  18. T. F. Gallagher, Rydberg Atoms (Cambridge Univ. Press, New York, 1994).

    Book  Google Scholar 

  19. I. I. Beterov and I. I. Riabtsev, ATP Conf. Proc. 329, 472 (1995).

    CAS  Google Scholar 

  20. T. D. Walker and M. S. Saffman, J. Phys. B 38, 5300 (2005).

    Article  Google Scholar 

  21. G. V. Golubkov, M. I. Manzhelii, and I. V. Karpov, Russ. J. Phys. Chem. B 5, 406 (2011).

    Article  CAS  Google Scholar 

  22. G. V. Golubkov, Russ. J. Phys. Chem. B 5, 925 (2011).

    Article  CAS  Google Scholar 

  23. G. V. Golubkov, M. G. Golubkov, and M. I. Manzhelii, Russ. J. Phys. Chem. B 6, 112 (2012).

    Article  CAS  Google Scholar 

  24. G. V. Golubkov, M. G. Golubkov, and M. I. Manzhelii, Dokl. Phys. 57, 461 (2012).

    Article  CAS  Google Scholar 

  25. G. V. Golubkov, M. I. Manzhelii, and I. V. Karpov, Russ. J. Phys. Chem. B 7, 641 (2013).

    Article  CAS  Google Scholar 

  26. G. V. Golubkov, M. G. Golubkov, and M. I. Manzhelii, Dokl. Phys. 58, 424 (2013).

    Article  CAS  Google Scholar 

  27. G. V. Golubkov, M. G. Golubkov, and M. I. Manzhelii, Russ. J. Phys. Chem. B 8, 103 (2014).

    Article  CAS  Google Scholar 

  28. G. V. Golubkov, M. I. Manzhelii, and A. A. Lushnikov, Russ. J. Phys. Chem. B 8, 604 (2014).

    Article  CAS  Google Scholar 

  29. G. V. Golubkov, M. G. Golubkov, M. I. Manzhelii, and I. V. Karpov, in Elementary Processes, Monitoring, and Ball Lighting, Ed. by V. L. Bychkov, G. V. Golubkov, and A. I. Nikitin (Spinder, Heidelberg, London, New York, 2014), p. 1.

  30. G. V. Golubkov, M. I. Manzhelii, A. A. Lushnikov, and A. A. Berlin, Russ. J. Phys. Chem. B 10, 77 (2016).

    Article  CAS  Google Scholar 

  31. S. V. Avakyan, Geomagn. Aeron. 48, 417 (2008).

    Article  Google Scholar 

  32. S. V. Avakyan and N. A. Voronin, Issled. Zemli Kosmosa 3, 14 (2011).

    Google Scholar 

  33. A. A. Chizhevskii, The Terrestrial Echo Of Solar Storms (Mysl’, Moscow, 1976) [in Russian].

    Google Scholar 

  34. J. J. Gilman, Appl. Phys. Lett. 83, 2283 (2003).

    Article  CAS  Google Scholar 

  35. A. N. Klyucharev and V. Vujnoviè, Phys. Rep. 185, 56 (1990).

    Google Scholar 

  36. N. N. Bezuglov, A. N. Klyucharev, and T. Stasevich, Opt. Spectrosc. 77, 304 (1994).

    Google Scholar 

  37. N. N. Bezuglov, A. N. Klucharev, and V. A. Sheverev, J. Phys. B 20, 2495 (1987).

    Article  Google Scholar 

  38. Y. Lee and B. U. Mahan, J. Chem. Phys. 52, 5221 (1970).

    Article  Google Scholar 

  39. J. Ono, J. Kojano, and J. Tanaka, J. Chem. Phys. 52, 2893 (1970).

    Article  Google Scholar 

  40. L. P. Pitaevskii, Sov. Phys. JETP 15, 919 (1962).

    Google Scholar 

  41. B. Kaulakys and A. Ciziunas, J. Phys. B 20, 1031 (1987).

    Article  CAS  Google Scholar 

  42. J. E. Bayfield and P. M. Koch, Phys. Rev. Lett. 30, 258 (1974).

    Article  Google Scholar 

  43. V. Krainov, J. Exp. Theor. Phys. 111, 171 (2010).

    Article  CAS  Google Scholar 

  44. G. V. Golubkov and A. Z. Devdariani, Russ. J. Phys. Chem. B 5, 892 (2011).

    Article  CAS  Google Scholar 

  45. M. Yu. Zakharov, N. N. Bezuglov, A. N. Klyucharev, A. A. Matveev, I. I. Beterov, and O. Dulieu, Russ. J. Phys. Chem. B 5, 537 (2011).

    Article  CAS  Google Scholar 

  46. E. I. Dashevskaya, I. Zinvin, E. E. Nikitin, et al., Phys. Chem. Chem. Phys. 4, 3330 (2002).

    Article  CAS  Google Scholar 

  47. A. Ya. Ishkhanyan and V. P. Krainov, J. Exp. Theor. Phys. 113, 407 (2011).

    Article  CAS  Google Scholar 

  48. G. K. Ivanov and G. V. Golubkov, J. Phys. B 21, 2049 (1988).

    Article  Google Scholar 

  49. G. V. Golubkov, Russ. J. Phys. Chem. B 5, 925 (2011).

    Article  CAS  Google Scholar 

  50. L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Nonrelativistic Theory (Nauka, Moscow, 1989; Pergamon, New York, 1977).

    Google Scholar 

  51. B. V. Chirikov, Phys. Rep. 52, 26 (1979).

    Article  Google Scholar 

  52. N. V. Karlov and A. M. Prokhorov, Sov. Phys. Usp. 19, 285 (1976).

    Article  Google Scholar 

  53. N. N. Bezuglov, V. M. Borodin, A. N. Klyucharev, et al., Opt. Spectrosc. 83, 338 (1997).

    Google Scholar 

  54. N. N. Bezuglov, V. M. Borodin, and A. N. Klyucharev, Opt. Spectrosc. 86, 824 (1999).

    Google Scholar 

  55. A. N. Klyucharev, N. N. Bezuglov, A. A. Matveev, et al., New Astron. Rev. 5, 547 (2007).

    Article  Google Scholar 

  56. V. I. Arnold, Mathematical Methods of Classical Mechanics (Springer, New York, 1989).

    Book  Google Scholar 

  57. V. V. Ivanov, Radiative Transfer and the Spectra of Celestial Bodies (Nauka, Moscow, 1969) [in Russian].

    Google Scholar 

  58. N. N. Bezuglov, A. F. Molisch, A. Fioretti, et al., Phys. Rev. A 68, 063415 (2003).

    Article  Google Scholar 

  59. L. M. Biberman, V. S. Vorob’ev, and I. T. Yakubov, Kinetics of Nonequilibrium Low-Temperature Plasma (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

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

    Article  Google Scholar 

  61. N. N. Bezuglov, A. Ekers, O. Kaufmann, et al., J. Chem. Phys. 119, 7094 (2003).

    Article  CAS  Google Scholar 

  62. N. N. Bezuglov, V. M. Borodin, A. K. Kazanskii, A. N. Klyucharev, A. A. Matveev, and K. V. Orlovskii, Opt. Spectrosc. 91, 19 (2001).

    Article  CAS  Google Scholar 

  63. I. I. Beterov, D. V. Tretyakov, I. I. Riabtsev, et al., J. Phys. B 38, 4349 (2005).

    Article  CAS  Google Scholar 

  64. V. M. Borodin, Opt. Spectrosc. 38, 266 (1975).

    Google Scholar 

  65. Yu. N. Demkov and I. V. Komarov, Sov. Phys. JETP 23, 189 (1966).

    Google Scholar 

  66. V. M. Borodin and V. S. Egorov, Vestn. Leningr. Univ. 10, 97 (1984).

    Google Scholar 

  67. V. A. Smirnov and A. A. Mikhailov, Opt. Spektrosk. 30, 984 (1971).

    CAS  Google Scholar 

  68. X. K. Hu, J. B. A. Mitchell, and R. H. Lipson, Phys. Rev. A 62, 052712 (2000).

    Article  Google Scholar 

  69. D. K. Efimov, N. N. Bezuglov, A. N. Klyucharev, Yu. N. Gnedin, K. Miculis, and A. Ekers, Opt. Spectrosc. 117, 8 (2014).

    Article  CAS  Google Scholar 

  70. D. K. Efimov, N. N. Bezuglov, A. N. Klyucharev, and K. Miculis, Opt. Spectrosc. 117, 861 (2014).

    Article  CAS  Google Scholar 

  71. S. I. Chua and D. A. Telnov, Phys. Rep. 390, 1 (2004).

    Article  Google Scholar 

  72. E. Hairer, Numeral Geometric Integration (Univ. Geneve, Geneve, 1999).

    Google Scholar 

  73. D. V. Tret’yakov, I. I. Beterov, V. M. Entin, E. A. Yakshina, I. I. Ryabtsev, S. F. Dyubko, E. A. Alekseev, N. L. Pogrebnyak, N. N. Bezuglov, and E. Arimondo, J. Exp. Theor. Phys. 114, 14 (2012).

    Article  Google Scholar 

  74. A. Sommerfeld, Atomic Structure and Figure Spectral Lines, 3rd ed., Ed. by H. L. Broze (Methuen, London, 1934).

  75. K. N. Arefieff, K. Miculis, N. N. Bezuglov, et al., J. Astrophys. Astron. 36, 613 (2015).

    Article  Google Scholar 

  76. N. N. Bezuglov, E. N. Borisov, and Ya. F. Verolainen, Sov. Phys. Usp. 34, 1 (1991).

    Article  Google Scholar 

  77. B. W. Shore, Manipulating Quantum Structures Using Laser Pulses (Cambridge Univ. Press, Cambridge, 2011).

    Book  Google Scholar 

  78. E. Peik and J. V. Chen, et al., Phys. Rev. Lett. 59, 2931 (1987).

    Article  Google Scholar 

  79. Z. Yu and Y. J. Kimbel, Opt. Lett. 19, 1882 (1994).

    Article  Google Scholar 

  80. Wenhui Li, P. J. Tanner, and T. F. Gallagher, Phys. Rev. Lett. 94, 173001 (2005).

    Article  Google Scholar 

  81. Hyunwook Park, E. S. Shuman, and T. F. Gallagher, Phys. Rev. A 84, 052708 (2011).

    Article  Google Scholar 

  82. P. J. Tanner, Jianing Han, E. S. Shuman, et al., Phys. Rev. Lett. 100, 043002 (2008).

    Article  Google Scholar 

  83. M. P. Robinson, B. Z. Tolra, W. M. Noel, et al., Phys. Rev. Lett. 85, 4469 (2000).

    Article  Google Scholar 

  84. D. Comparat and P. Pillat, J. Opt. Soc. Am. B 27, A208 (2010).

    Article  CAS  Google Scholar 

  85. M. Fleichhauer and M. D. Lukin, Phys. Rev. Lett. 84, 5094 (2000).

    Article  Google Scholar 

  86. C. Gabbanini, A. Fioretti, A. Zucchesini, et al., Phys. Rev. Lett. 84, 2814 (2000).

    Article  CAS  Google Scholar 

  87. N. N. Bezuglov, G. V. Golubkov, and A. N. Klyucharev, in The Atmosphere and Ionosphere: Elementary Processes, Discharges and Plasmoids, Ed. by V. L. Bychkov, G. V. Golubkov, and A. I. Nikitin (Springer, New York, 2013), p. 1.

  88. D. K. Efimov, K. Miculis, N. N. Bezuglov,et al., J. Phys. B 49, 125302 (2016).

    Article  Google Scholar 

  89. T. Amthor, J. Denskat, C. Giese, et al., Eur. Phys. J. D 53, 329 (2009).

    Article  CAS  Google Scholar 

  90. N. N. Bezuglov, G. V. Golubkov, and A. N. Klyucharev, Russ. J. Phys. Chem. A 88, 1889 (2014).

    Article  CAS  Google Scholar 

  91. J. J. Blange, J. M. Zijlustra, A. Amerlink, et al., Phys. Rev. Lett. 78, 3089 (1997).

    Article  CAS  Google Scholar 

  92. P. O. Keefle, P. Bolognesi, L. Avaldi, et al., Phys. Rev. A 85, 052705 (2012).

    Article  Google Scholar 

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Authors and Affiliations

  1. Saint Petersburg State University, St. Petersburg, 199034, Russia

    N. N. Bezuglov & A. N. Klyucharev

  2. Semenov Institute of Chemical Physics, Russian Academy of Science, Moscow, Russia

    G. V. Golubkov

  3. Center of Chemical Physics of the Atmosphere, Moscow, Russia

    G. V. Golubkov

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  1. N. N. Bezuglov
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  2. G. V. Golubkov
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  3. A. N. Klyucharev
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Correspondence to N. N. Bezuglov.

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Original Russian Text © N.N. Bezuglov, G.V. Golubkov, A.N. Klyucharev, 2017, published in Khimicheskaya Fizika, 2017, Vol. 36, No. 12, pp. 21–38.

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Bezuglov, N.N., Golubkov, G.V. & Klyucharev, A.N. Rydberg Atoms: From Determinism to Chaos. Russ. J. Phys. Chem. B 11, 912–927 (2017). https://doi.org/10.1134/S1990793117050177

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