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  • Letter
  • Open Access

General approximator for strong-field ionization rates

Manoram Agarwal*

Armin Scrinzi†

Vladislav S. Yakovlev‡

  • *Contact author: manoram.agarwal@mpq.mpg.de
  • †Contact author: Armin.Scrinzi@lmu.de
  • ‡Contact author: vladislav.yakovlev@physik.uni-muenchen.de

Phys. Rev. A 113, L021101 – Published 20 February, 2026

DOI: https://doi.org/10.1103/vxgm-kdtt

Abstract

We address the long-standing problem of determining accurate, time-resolved ionization rates for atoms in strong laser fields, a quantity that is fundamental to attosecond science. We show that it is possible to retrieve sub-optical-cycle dynamics of strong-field ionization from ionization probabilities obtained for a set of few-cycle laser pulses that covers a sufficiently broad parameter space. To this end, we introduce the general approximator for strong-field ionization rates, a retrieval tool that uses a few adjustable parameters to accurately reconstruct ab initio data. By imposing only essential physical constraints, our model provides a versatile framework for time-domain investigations of strong-field ionization and the role of ionization dynamics in attosecond metrology and lightwave electronics.

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References (38)

  1. S. Sederberg, D. Zimin, S. Keiber, F. Siegrist, M. S. Wismer, V. S. Yakovlev, I. Floss, C. Lemell, J. Burgdörfer, M. Schultze, F. Krausz, and N. Karpowicz, Nat. Commun. 11, 430 (2020).
  2. S. B. Park, K. Kim, W. Cho, S. I. Hwang, I. Ivanov, C. H. Nam, and K. T. Kim, Optica 5, 402 (2018).
  3. F. Xiao, L. Wang, G. Bai, Z. Zheng, X. Sun, T. Ji, Y. Sun, J. Wang, X. Wang, and Z. Zhao, Chin. Phys. Lett. 42, 043701 (2025).
  4. M. Agarwal, A. Scrinzi, F. Krausz, and V. S. Yakovlev, Ann. Phys. (N.Y.) 535, 2300322 (2023).
  5. W. Cho, J.-u. Shin, and K. T. Kim, Sci. Rep. 11, 13014 (2021).
  6. E. Goulielmakis, Z.-H. Loh, A. Wirth, R. Santra, N. Rohringer, V. S. Yakovlev, S. Zherebtsov, T. Pfeifer, A. M. Azzeer, M. F. Kling, S. R. Leone, and F. Krausz, Nature (London) 466, 739 (2010).
  7. M. Nisoli, P. Decleva, F. Calegari, A. Palacios, and F. Martín, Chem. Rev. 117, 10760 (2017).
  8. E. J. Sie, T. Rohwer, C. Lee, and N. Gedik, Nat. Commun. 10, 3535 (2019).
  9. A. N. Pfeiffer, C. Cirelli, M. Smolarski, D. Dimitrovski, M. Abu-samha, L. B. Madsen, and U. Keller, Nat. Phys. 8, 76 (2012).
  10. A. N. Pfeiffer, C. Cirelli, M. Smolarski, and U. Keller, Chem. Phys. 414, 84 (2013).
  11. U. S. Sainadh, H. Xu, X. Wang, A. Atia-Tul-Noor, W. C. Wallace, N. Douguet, A. Bray, I. Ivanov, K. Bartschat, A. Kheifets, R. T. Sang, and I. V. Litvinyuk, Nature (London) 568, 75 (2019).
  12. F. V. Bunkin and A. M. Prokhorov, Zh. Eksperim. i Teor. Fiz. 46 (1964).
  13. L. V. Keldysh, et al., Sov. Phys. JETP 20, 1307 (1965) [J. Exptl. Theoret. Phys. (U.S.S.R.) 47, 1945 (1964)] .
  14. F. H. M. Faisal, J. Phys. B 6, L89 (1973).
  15. A. M. Perelomov, V. S. Popov, and M. V. Terent'ev, Sov. Phys. JETP 24, 207 (1967).
  16. M. V. Ammosov, N. B. Delone, and V. P. Krainov, in High Intensity Laser Processes, Vol. 664 (SPIE, Bellingham, WA, 1986), pp. 138–141.
  17. H. R. Reiss, Prog. Quantum Electron. 16, 1 (1992).
  18. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'Huillier, and P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
  19. G. L. Yudin and M. Y. Ivanov, Phys. Rev. A 64, 013409 (2001).
  20. V. Tagliamonti, P. Sándor, A. Zhao, T. Rozgonyi, P. Marquetand, and T. Weinacht, Phys. Rev. A 93, 051401(R) (2016).
  21. A. Weber, M. Khokhlova, and E. Pisanty, Phys. Rev. A 111, 043103 (2025).
  22. A. Scrinzi, M. Geissler, and T. Brabec, Phys. Rev. Lett. 83, 706 (1999).
  23. A. Scrinzi, Phys. Rev. A 61, 041402(R) (2000).
  24. A. Karamatskou, S. Pabst, and R. Santra, Phys. Rev. A 87, 043422 (2013).
  25. V. Yakovlev, M. Korbman, and A. Scrinzi, Chem. Phys. 414, 26 (2013).
  26. J. Vábek, H. Bachau, and F. Catoire, Phys. Rev. A 106, 053115 (2022).
  27. X. M. Tong and C. D. Lin, J. Phys. B: At. Mol. Opt. Phys. 38, 2593 (2005).
  28. I. A. Ivanov, C. Hofmann, L. Ortmann, A. S. Landsman, C. H. Nam, and K. T. Kim, Commun. Phys. 1, 81 (2018).
  29. A. Scrinzi, Comput. Phys. Commun. 270, 108146 (2022).
  30. L. Tao and A. Scrinzi, New J. Phys. 14, 013021 (2012).
  31. See Supplemental Material at http://link.aps.org/supplemental/10.1103/vxgm-kdtt for more details on the classical-trajectory analysis and the parameter retrieval.
  32. Edmond Research Data Repository, Max Planck Digital Library, GASFIR (2025), doi:10.17617/3.14YYJL.
  33. D. B. Milošević, E. Hasović, S. Odžak, M. Busuladžić, A. Gazibegović-Busuladžić, and W. Becker, J. Mod. Opt. 55, 2653 (2008).
  34. D. Bauer and P. Mulser, Phys. Rev. A 59, 569 (1999).
  35. N. Teeny, E. Yakaboylu, H. Bauke, and C. H. Keitel, Phys. Rev. Lett. 116, 063003 (2016).
  36. V. P. Majety, A. Zielinski, and A. Scrinzi, New J. Phys. 17, 063002 (2015).
  37. V. P. Majety and A. Scrinzi, J. Phys. B: At. Mol. Opt. Phys. 48, 245603 (2015).
  38. M. Y. Ivanov, M. Spanner, and O. Smirnova, J. Mod. Opt. 52, 165 (2005).

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