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Nondipole signatures in ionization and high-order harmonic generation

M. C. Suster*, J. Derlikiewicz, K. Krajewska, F. Cajiao Vélez, and J. Z. Kamiński

  • Institute of Theoretical Physics, Faculty of Physics, University of Warsaw, Pasteura 5, 02-093 Warsaw, Poland

  • *Mihai.Suster@fuw.edu.pl
  • Julia.Derlikiewicz@fuw.edu.pl
  • Felipe.Cajiao-Velez@fuw.edu.pl

Phys. Rev. A 107, 053112 – Published 16 May, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.053112

Abstract

We analyze nondipole effects arising in ionization and high-order harmonic generation for a two-dimensional hydrogen atom irradiated with either low- or high-frequency laser pulses. In the low-frequency case, the electron wave packet dynamics is dominated by rescattering processes within the laser pulse. Here both odd- and even-order harmonics are generated in the direction of the laser field propagation and polarization, respectively. For high-frequency pulses, such rescattering processes can be neglected. We demonstrate that a significant portion of photoelectrons is detected opposite to the laser pulse propagation direction as a consequence of their postpulse wave packet spreading and interaction with the parent ion. This is accompanied by rich interference structures formed in the momentum distributions of photoelectrons. Our results follow from the numerical solution of the time-dependent Schrödinger equation, which is based on the Suzuki-Trotter scheme with the split-step Fourier approach. The method relies on a Hamiltonian decomposition, where except for the components depending exclusively on the momentum or on the position operators, there are also terms depending on both momentum and position operators in particular configurations. We demonstrate that, as long as the latter does not depend on noncommuting coordinates of the momentum and position operators, nondipole effects in laser-matter interactions can be studied without applying extra approximations and unitary operations.

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References (98)

  1. P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, Phys. Rev. Lett. 42, 1127 (1979).
  2. P. A. Franken, A. E. Hill, C. W. Peters, and G. Weinreich, Phys. Rev. Lett. 7, 118 (1961).
  3. L. V. Keldysh, Zh. Eksp. Teor. Fiz. 47, 1945 (1964) [Sov. Phys. JETP 20, 1307 (1965)].
  4. F. H. M. Faisal, J. Phys. B 6, L89 (1973).
  5. H. R. Reiss, Phys. Rev. A 22, 1786 (1980).
  6. J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. A 45, 4998 (1992).
  7. J. L. Krause, K. J. Schafer, and K. C. Kulander, Phys. Rev. Lett. 68, 3535 (1992).
  8. K. J. Schafer, B. Yang, L. F. DiMauro, and K. C. Kulander, Phys. Rev. Lett. 70, 1599 (1993).
  9. K. C. Kulander, K. J. Schafer, and J. L. Krause, in Super-Intense Laser-Atom Physics, edited B. Piraux, A. L'Huillier, and K. Rzążewski (Plenum, New York, 1993), p. 95.
  10. P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
  11. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'Huillier, and P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
  12. D. M. Wolkow, Z. Phys. 94, 250 (1935).
  13. G. F. Gribakin and M. Y. Kuchiev, Phys. Rev. A 55, 3760 (1997).
  14. F. Cajiao Vélez, L. Geng, J. Z. Kamiński, L.-Y. Peng, and K. Krajewska, Phys. Rev. A 102, 043102 (2020).
  15. L. Geng, F. Cajiao Vélez, J. Z. Kamiński, L.-Y. Peng, and K. Krajewska, Phys. Rev. A 102, 043117 (2020).
  16. L. Geng, F. Cajiao Vélez, J. Z. Kamiński, L.-Y. Peng, and K. Krajewska, Phys. Rev. A 104, 033111 (2021).
  17. N. Grun, A. Mühlhans, and W. Scheid, J. Phys. B 15, 4043 (1982).
  18. C. Bottcher, Phys. Rev. Lett. 48, 85 (1982).
  19. N. Grun and W. Scheid, J. Phys. B 16, L425 (1983).
  20. M. Horbatsch, J. Phys. B 17, 2591 (1984).
  21. K. C. Kulander, Phys. Rev. A 35, 445 (1987).
  22. J. Javanainen, J. H. Eberly, and Q. Su, Phys. Rev. A 38, 3430 (1988).
  23. D. W. Peaceman and H. H. Rachford, J. Soc. Ind. Appl. Math. 3, 28 (1955).
  24. W. A. Murray and M. S. Lynn, Comput. J. 8, 166 (1965).
  25. H. Kono, A. Kita, Y. Ohtsuki, and Y. Fujimura, J. Comput. Phys. 130, 148 (1997).
  26. H. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959).
  27. M. Suzuki, Proc. Jpn. Acad. B 69B, 161 (1993).
  28. N. Hatano and M. Suzuki, Lect. Notes Phys. 679, 37 (2005).
  29. R. I. McLachlan, G. Reinout, and W. Quispel, Acta Numer. 11, 341 (2002).
  30. G. M. Muslu and H. A. Erbay, Math. Comput. Simul. 67, 581 (2005).
  31. M. Førre and A. S. Simonsen, Phys. Rev. A 90, 053411 (2014).
  32. M. Førre, S. Selstø, J. P. Hansen, and L. B. Madsen, Phys. Rev. Lett. 95, 043601 (2005).
  33. M. Førre, J. P. Hansen, L. Kocbach, S. Selstø, and L. B. Madsen, Phys. Rev. Lett. 97, 043601 (2006).
  34. S. Selstø, E. Lindroth, and J. Bengtsson, Phys. Rev. A 79, 043418 (2009).
  35. A. S. Simonsen and M. Førre, Phys. Rev. A 92, 013405 (2015).
  36. M. Førre and A. S. Simonsen, Phys. Rev. A 93, 013423 (2016).
  37. T. K. Lindblom, M. Førre, E. Lindroth, and S. Selstø, Phys. Rev. Lett. 121, 253202 (2018).
  38. S. Brennecke and M. Lein, J. Phys. B 51, 094005 (2018).
  39. M. Førre, Phys. Rev. A 106, 013104 (2022).
  40. C. T. L. Smeenk, L. Arissian, B. Zhou, A. Mysyrowicz, D. M. Villeneuve, A. Staudte, and P. B. Corkum, Phys. Rev. Lett. 106, 193002 (2011).
  41. H. R. Reiss, J. Phys. B 47, 204006 (2014).
  42. F. Cajiao Vélez, K. Krajewska, and J. Z. Kamiński, Phys. Rev. A 97, 043421 (2018).
  43. D. Strickland and G. Mourou, Opt. Commun. 56, 219 (1985).
  44. https://cuos.engin.umich.edu/researchgroups/hfs/facilities/hercules-petawatt-laser/.
  45. V. Yanovsky et al., Opt. Express 16, 2109 (2008).
  46. L. Young et al., J. Phys. B 51, 032003 (2018).
  47. D. J. Wilson, A. M. Summers, S. Zigo, B. Davis, S.-J. Robatjazi, J. A. Powell, D. Rolles, A. Rudenko, and C. A. Trallero-Herrero, Sci. Rep. 9, 6002 (2019).
  48. A. Ludwig, J. Maurer, B. W. Mayer, C. R. Phillips, L. Gallmann, and U. Keller, Phys. Rev. Lett. 113, 243001 (2014).
  49. J. Maurer, B. Willenberg, J. Daněk, B. W. Mayer, C. R. Phillips, L. Gallmann, M. Klaiber, K. Z. Hatsagortsyan, C. H. Keitel, and U. Keller, Phys. Rev. A 97, 013404 (2018).
  50. M. M. Lund and L. B. Madsen, J. Phys. B 54, 165602 (2021).
  51. J. Daněk, M. Klaiber, K. Z. Hatsagortsyan, C. H. Keitel, B. Willenberg, J. Maurer, B. W. Mayer, C. R. Phillips, L. Gallmann, and U. Keller, J. Phys. B 51, 114001 (2018).
  52. M.-X. Wang, H. Liang, X.-R. Xiao, S.-G. Chen, W.-C. Jiang, and L.-Y. Peng, Phys. Rev. A 98, 023412 (2018).
  53. H. R. Reiss, Phys. Rev. A 42, 1476 (1990).
  54. K. Krajewska and J. Z. Kamiński, Phys. Rev. A 92, 043419 (2015).
  55. K. Krajewska, F. Cajiao Vélez, and J. Z. Kamiński, J. Phys.: Conf. Ser. 1206, 012002 (2019).
  56. A. Nordsieck, Phys. Rev. 93, 785 (1954).
  57. B. Böning, W. Paufler, and S. Fritzsche, Phys. Rev. A 99, 053404 (2019).
  58. B. Böning and S. Fritzsche, J. Phys. B 54, 144002 (2021).
  59. B. Böning and S. Fritzsche, Phys. Rev. A 106, 043102 (2022).
  60. S. Fritzsche and B. Böning, Phys. Rev. Res. 4, 033031 (2022).
  61. L. Rosenberg and F. Zhou, Phys. Rev. A 47, 2146 (1993).
  62. L. Rosenberg, Phys. Rev. A 49, 1122 (1994).
  63. L. Rosenberg, Phys. Rev. A 62, 053401 (2000).
  64. M. Gavrila, Phys. Rev. A 99, 012120 (2019).
  65. B. Böning, W. Paufler, and S. Fritzsche, Phys. Rev. A 101, 031401(R) (2020).
  66. M. Klaiber, K. Z. Hatsagortsyan, and C. H. Keitel, Phys. Rev. A 105, 053107 (2022).
  67. P.-L. He, M. Klaiber, K. Z. Hatsagortsyan, and C. H. Keitel, Phys. Rev. A 105, L031102 (2022).
  68. D. Habibović and D. B. Milošević, Phys. Rev. A 106, 033101 (2022).
  69. S. Chelkowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. Lett. 113, 263005 (2014).
  70. M.-X. Wang, X.-R. Xiao, H. Liang, S.-G. Chen, and L.-Y. Peng, Phys. Rev. A 96, 043414 (2017).
  71. M.-X. Wang, H. Liang, X.-R. Xiao, S.-G. Chen, and L.-Y. Peng, Phys. Rev. A 99, 023407 (2019).
  72. N. Haram, R. T. Sang, and I. V. Litvinyuk, J. Phys. B 53, 154005 (2020).
  73. E. Hairer, C. Lubich, and G. Wanner, Geometric Numerical Integration. Structure-Preserving Algorithms for Ordinary Differential Equations (Springer, Berlin, 2006).
  74. C. Skokos, E. Gerlach, J. D. Bodyfelt, G. Papamikos, and S. Eggl, Phys. Lett. A 378, 1809 (2014).
  75. M. Suzuki, Phys. Lett. A 146, 319 (1990).
  76. H. Yoshida, Phys. Lett. A 150, 262 (1990).
  77. J. W. Cooley and J. W. Tukey, Math. Comput. 19, 297 (1965).
  78. P. O. J. Scherer, Computational Physics: Simulation of Classical and Quantum Systems (Springer, Cham, 2017).
  79. D. Takahashi, Fast Fourier Transform Algorithms for Parallel Computers (Springer, Singapore, 2019).
  80. A. D. Bandrauk and H. Shen, J. Chem. Phys. 99, 1185 (1993).
  81. H. Bauke and C. H. Keitel, Comput. Phys. Commun. 182, 2454 (2011).
  82. T. Dziubak and J. Matulewski, Comput. Phys. Commun. 183, 800 (2012).
  83. Y. Fu, J. Zeng, and J. Yuan, Comput. Phys. Commun. 210, 181 (2017).
  84. J. Derlikiewicz, Dynamics of two-dimensional quantum systems interacting with short laser pulses, M.Sc. thesis, University of Warsaw, 2022, available at https://www.fuw.edu.pl/~jderlikiewicz/mgr/mgr_JD.pdf.
  85. K. Liu, Y. Hu, Q. Zhang, and P. Lu, Opt. Express 29, 38758 (2021).
  86. Y. Hu, K. Liu, Q. Ma, and P. Lu, J. Opt. Soc. Am. B 39, 2486 (2022).
  87. W. C. Henneberger, Phys. Rev. Lett. 21, 838 (1968).
  88. N. M. Kroll and K. M. Watson, Phys. Rev. A 8, 804 (1973).
  89. L. D. Landau and E. M. Lifshitz, The Classical Theory of Fields (Pergamon Press, Oxford, 1971).
  90. F. Cajiao Vélez, J. Z. Kamiński, and K. Krajewska, J. Phys.: Conf. Ser. 999, 012007 (2018).
  91. C. J. Joachain, N. J. Kylstra, and R. M. Potvliege, Atoms in Intense Laser Fields (Cambridge University Press, Cambridge, 2012).
  92. D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, J. Phys. B 39, R203 (2006).
  93. F. Cajiao Vélez, K. Krajewska, and J. Z. Kamiński, Phys. Rev. A 91, 053417 (2015).
  94. J. Z. Kamiński, F. Cajiao Vélez, and K. Krajewska, J. Phys.: Conf. Ser. 1206, 012004 (2019).
  95. M. Spanner, S. Gräfe, S. Chelkowski, D. Pavičić, M. Meckel, D. Zeidler, A. B. Bardon, B. Ulrich, A. D. Bandrauk, D. M. Villeneuve, R. Dörner, P. B. Corkum, and A. Staudte, J. Phys. B 45, 194011 (2012).
  96. S. Chelkowski, A. D. Bandrauk, and P. B. Corkum, Phys. Rev. A 92, 051401(R) (2015).
  97. M.-Y. Ma, J.-P. Wang, W.-Q. Jing, Z. Guan, Z.-H. Jiao, G.-L. Wang, J.-H. Chen, and S.-F. Zhao, Opt. Express 29, 33245 (2021).
  98. D. Kanti, J. Z. Kamiński, L.-Y. Peng, and K. Krajewska, Phys. Rev. A 104, 033112 (2021).

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