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Elastic scattering of Airy electron packets on atoms

D. Grosman, N. Sheremet, I. Pavlov, and D. Karlovets

  • School of Physics and Engineering, ITMO University, 197101 St. Petersburg, Russia

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Phys. Rev. A 107, 062819 – Published 21 June, 2023

DOI: https://doi.org/10.1103/PhysRevA.107.062819

Abstract

The problem of elastic scattering of a nonrelativistic electron Airy beam on a hydrogen atom in the ground 1s state is considered in the Born approximation. It is demonstrated that the angular dependence of the scattering probability density is, in general, azimuthally asymmetric. When the position of the atom happens to coincide with a minimum of the probability density of the Airy beam, the asymmetric pattern is represented by four separated peaks. We show that this behavior is very sensitive to the precision with which the relative position of the atom and the minima is defined and study how uncertainty in the position can affect observation of the azimuthal asymmetry. Finally, we consider a spatially localized target and discuss the difficulties of observing the asymmetry for targets with sizes exceeding a critical value determined by the beam parameters and by the position of the target center.

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References (39)

  1. G. Kotkin, V. Serbo, and A. Schiller, Int. J. Mod. Phys. A 07, 4707 (1992).
  2. L. Sarkadi, I. Fabre, F. Navarrete, and R. O. Barrachina, Phys. Rev. A 93, 032702 (2016).
  3. M. Schulz, Advances In Atomic, Molecular, and Optical Physics (Academic Press, San Diego, 2017), Vol. 66, pp. 507–543.
  4. V. G. Bagrov and D. Gitman, The Dirac Equation and its Solutions (De Gruyter, Berlin/Boston, 2014).
  5. M. V. Berry and N. L. Balazs, Am. J. Phys. 47, 264 (1979).
  6. M. Uchida and A. Tonomura, Nature (London) 464, 737 (2010).
  7. B. J. McMorran, A. Agrawal, I. M. Anderson, A. A. Herzing, H. J. Lezec, J. J. McClelland, and J. Unguris, Science 331, 192 (2011).
  8. E. Mafakheri, A. H. Tavabi, P.-H. Lu, R. Balboni, F. Venturi, C. Menozzi, G. C. Gazzadi, S. Frabboni, A. Sit, R. E. Dunin-Borkowski et al., Appl. Phys. Lett. 110, 093113 (2017).
  9. N. Voloch-Bloch, Y. Lereah, Y. Lilach, A. Gover, and A. Arie, Nature (London) 494, 331 (2013).
  10. R. Van Boxem, B. Partoens, and J. Verbeeck, Phys. Rev. A 89, 032715 (2014).
  11. R. Van Boxem, B. Partoens, and J. Verbeeck, Phys. Rev. A 91, 032703 (2015).
  12. D. V. Karlovets, G. L. Kotkin, and V. G. Serbo, Phys. Rev. A 92, 052703 (2015).
  13. D. V. Karlovets, G. L. Kotkin, V. G. Serbo, and A. Surzhykov, Phys. Rev. A 95, 032703 (2017).
  14. D. V. Karlovets and V. G. Serbo, Phys. Rev. Lett. 119, 173601 (2017).
  15. V. P. Kosheleva, V. A. Zaytsev, A. Surzhykov, V. M. Shabaev, and T. Stöhlker, Phys. Rev. A 98, 022706 (2018).
  16. A. L. Harris, A. Plumadore, and Z. Smozhanyk, J. Phys. B: At., Mol. Opt. Phys. 52, 094001 (2019).
  17. A. Plumadore and A. L. Harris, J. Phys. B: At., Mol. Opt. Phys. 53, 205205 (2020).
  18. N. Dhankhar, A. Mandal, and R. Choubisa, J. Phys. B: At., Mol. Opt. Phys. 53, 155203 (2020).
  19. S. Lloyd, M. Babiker, and J. Yuan, Phys. Rev. Lett. 108, 074802 (2012).
  20. S. M. Lloyd, M. Babiker, and J. Yuan, Phys. Rev. A 86, 023816 (2012).
  21. G. A. Siviloglou and D. N. Christodoulides, Opt. Lett. 32, 979 (2007).
  22. J. Baumgartl, M. Mazilu, and K. Dholakia, Nat. Photonics 2, 675 (2008).
  23. Z. Zheng, B.-F. Zhang, H. Chen, J. Ding, and H.-T. Wang, Appl. Opt. 50, 43 (2011).
  24. P. Zhang, J. Prakash, Z. Zhang, M. S. Mills, N. K. Efremidis, D. N. Christodoulides, and Z. Chen, Opt. Lett. 36, 2883 (2011).
  25. P. Polynkin, M. Kolesik, J. V. Moloney, G. A. Siviloglou, and D. N. Christodoulides, Science 324, 229 (2009).
  26. A. Salandrino and D. N. Christodoulides, Opt. Lett. 35, 2082 (2010).
  27. A. Minovich, A. E. Klein, N. Janunts, T. Pertsch, D. N. Neshev, and Y. S. Kivshar, Phys. Rev. Lett. 107, 116802 (2011).
  28. G. Porat, I. Dolev, O. Barlev, and A. Arie, Opt. Lett. 36, 4119 (2011).
  29. S. Longhi, Opt. Lett. 36, 716 (2011).
  30. D. V. Karlovets, J. High Energy Phys. 03 (2017) 049.
  31. D. Karlovets and A. Zhevlakov, Phys. Rev. A 99, 022103 (2019).
  32. J.-G. Hwang, E.-S. Kim, H.-J. Kim, and D.-O. Jeon, Nucl. Instrum. Methods Phys. Res., Sect. A 767, 153 (2014).
  33. Y.-E. Sun, P. Piot, K.-J. Kim, N. Barov, S. Lidia, J. Santucci, R. Tikhoplav, and J. Wennerberg, Phys. Rev. Spec. Top.–Accel. Beams 7, 123501 (2004).
  34. F. Salvat, J. D. Marťnez, R. Mayol, and J. Parellada, Phys. Rev. A 36, 467 (1987).
  35. I. P. Ivanov and D. V. Karlovets, Phys. Rev. A 88, 043840 (2013).
  36. T. H. Aasen, D. H. Zeiner-Gundersen, S. Zeiner-Gundersen, P. Ohlckers, and K. Wang, J. Cluster Sci. 33, 839 (2022).
  37. X. He, H. Huang, C. Xu, X. Deng, Y. Wu, H. Tang, D. Xu, S. Luo, J. Liu, R. Wu et al., Ann. Phys. (NY) 534, 2200238 (2022).
  38. H. Huang, H. Tang, X. He, Y. Wu, X. Cai, X. Deng, and D. Deng, Ann. Phys. (NY) 534, 2200202 (2022).
  39. https://rscf.ru/en/project/21-42-04412/.

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Phys. Rev. A 107, 062819– Published 21 June, 2023
  • Received 6 December 2022
  • Accepted 4 May 2023
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