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Bohmian tunneling times in strong-field ionization

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Abstract

Phenomenon of tunneling ionization became the subject of many theoretical studies inspired by recent attoclock experiments on strong-field ionization of atoms by few-cycle laser pulses in infrared wavelength region. In particular, the notion of electron tunneling time caused a lot of controversy in various theoretical approaches. Bohmian mechanics seems to be specially suitable for theoretical description of electron tunneling times. We present results of calculations of probability distributions of electron Bohmian tunneling times for the model problem of ionization of 1D atom by a half-cycle laser pulse. Two regimes are studied in details: (a) the case of completely tunneling ionization and (b) the case involving three mechanisms: direct, non-completely and completely tunneling ionization. Probability distributions of tunneling exit positions and exit velocities are also studied. In addition, we discuss the appearance of transient dynamical tunneling due to non-adiabatic switching of external field.

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This manuscript has no associated data, or the data will not be deposited. [Authors’ comment: This is a theoretical study, and there are no experimental data.]

References

  1. G. Muga, R.S. Mayato, I. Egusquiza (eds.), Time in Quantum Mechanics, vol. 1 (Springer, Berlin Heidelberg, 2009)

  2. G. Muga, A. Ruschhaupt, A. del Campo (eds.), Time in Quantum Mechanics, vol. 2 (Springer, Berlin Heidelberg, 2009)

  3. E.A. Solov’ev, The Foundations of Quantum Physics: New Interpretation and Systematic Application (Lambert Academic Publishing, Saarbrucken, 2017), pp.8–13

    Google Scholar 

  4. C.R. Leavens, Phys. Lett. A 303, 154 (2002)

    Article  ADS  MathSciNet  Google Scholar 

  5. B. Mielnik, G. Torres-Vega, Univ. J. Phys. Appl. 2, 81 (2005)

    Google Scholar 

  6. D. Bohm, Phys. Rev. 85, 166 (1952)

    Article  ADS  MathSciNet  Google Scholar 

  7. D. Dürr, S. Teufel, Bohmian Mechanics: The Physics and Mathematics of Quantum Theory (Springer, Berlin, 2009)

    MATH  Google Scholar 

  8. C.R. Leavens, Solid State Commun. 76, 253 (1990)

    Article  ADS  Google Scholar 

  9. X. Oriols, F. Martín, J. Suñé, Phys. Rev. A 54, 2594 (1996)

    Article  ADS  Google Scholar 

  10. S. Das, M. Nöth, D. Dürr, Phys. Rev. A 99, 052124 (2019)

    Article  ADS  MathSciNet  Google Scholar 

  11. P. Eckle, A.N. Pfeiffer, C. Cirelli, A. Staudte, R. Dörner, H.G. Muller, M. Büttiker, U. Keller, Science 322, 1525 (2008)

    Article  ADS  Google Scholar 

  12. A.S. Landsman, M. Weger, J. Maurer, R. Boge, A. Ludwig, S. Heuser, C. Cirelli, L. Gallmann, U. Keller, Optica 1, 343 (2014)

    Article  ADS  Google Scholar 

  13. L. Torlina, F. Morales, J. Kaushal, I.A. Ivanov, A. Kheifets, A. Zielinski, A. Scrinzi, H.G. Muller, S. Sukiasyan, M.Y. Ivanov, O. Smirnova, Nat. Phys. 11, 503 (2015)

    Article  Google Scholar 

  14. T. Zimmermann, S. Mishra, B.R. Doran, D.F. Gordon, A.S. Landsman, Phys. Rev. Lett. 116, 233603 (2016)

    Article  ADS  Google Scholar 

  15. N. Teeny, E. Yakaboylu, H. Bauke, C.H. Keitel, Phys. Rev. Lett. 116, 063003 (2016)

    Article  ADS  Google Scholar 

  16. H. Ni, U. Saalmann, J.M. Rost, Phys. Rev. Lett. 117, 023002 (2016) newpage

  17. N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K.Z. Hatsagortsyan, T. Pfeifer, C.H. Keitel, R. Moshammer, Phys. Rev. Lett. 119, 023201 (2017)

    Article  ADS  Google Scholar 

  18. H. Ni, U. Saalmann, J.M. Rost, Phys. Rev. A 97, 013426 (2018)

  19. H. Ni, N. Eicke, C. Ruiz, J. Cai, F. Oppermann, N.I. Shvetsov-Shilovski, L.W. Pi, Phys. Rev. A 98, 013411 (2018)

  20. U. Sainadh, H. Xu, X. Wang, A. Atia-Tul-Noor, W. Wallace, N. Douguet, A. Bray, I. Ivanov, K. Bartschat, A. Kheifets, R. Sang, I. Litvinyuk, Nature (London) 568, 75 (2019)

  21. M. Klaiber, Q.Z. Lv, S. Sukiasyan, D. Bakucz Canário, K.Z. Hatsagortsyan, C.H. Keitel, Phys. Rev. Lett. 129, 203201 (2022)

    Article  ADS  Google Scholar 

  22. C. Hofmann, A.S. Landsman, U. Keller, J. Mod. Opt. 66, 1052 (2019)

    Article  ADS  Google Scholar 

  23. A.S. Kheifets, J. Phys. B: At. Mol. Opt. Phys. 53, 072001 (2020)

    Article  ADS  Google Scholar 

  24. C. Hofmann, A. Bray, W. Koch, H. Ni, N.I. Shvetsov-Shilovski, Eur. Phys. J. D 75, 208 (2021)

    Article  ADS  Google Scholar 

  25. F. Guo, J. Chen, S. Li, Y. Yang, Chin. Phys. Lett. 32, 073201 (2015)

    Article  ADS  Google Scholar 

  26. I.A. Ivanov, C.H. Nam, K.T. Kim, Sci. Rep. 7, 39919 (2017)

    Article  ADS  Google Scholar 

  27. N. Douguet, K. Bartschat, Phys. Rev. A 97, 013402 (2018)

    Article  ADS  Google Scholar 

  28. W. Xie, M. Li, Y. Zhou, P. Lu, Phys. Rev. A 105, 013119 (2022)

    Article  ADS  Google Scholar 

  29. X. Lai, X. Liu, Chin. Phys. B 29, 013205 (2020)

    Article  ADS  Google Scholar 

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Acknowledgements

This work was supported by Serbia-JINR collaboration program.

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Tasko P. Grozdanov and Evgeni A. Solov’ev have contributed equally to this work.

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Correspondence to Tasko P. Grozdanov.

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Grozdanov, T.P., Solov’ev, E.A. Bohmian tunneling times in strong-field ionization. Eur. Phys. J. D 77, 33 (2023). https://doi.org/10.1140/epjd/s10053-023-00620-w

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