Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Letter
  • Open Access

Transverse momentum resolved angular streaking after tunneling ionization

Dianxiang Ren1,2,*, Chao Chen3,4,*, Xiaokai Li1,2, Xiaoge Zhao1,2, Shang Wang3,5, Mingxuan Li1,2, Xinning Zhao1,2, Pan Ma1,2, Chuncheng Wang1,2 et al.

Yujun Yang1,2, Yanjun Chen3, Sizuo Luo1,2,†, and Dajun Ding1,2,‡

  • 1Institute of Atomic and Molecular Physics, Jilin University, Changchun 130012, China
  • 2Jilin Provincial Key Laboratory of Applied Atomic and Molecular Spectroscopy, Jilin University, Changchun 130012, China
  • 3College of Physics and Information Technology, Shaan'xi Normal University, Xi'an 710119, China
  • 4College of Physics and Electronic Engineering, Xingtai University, Xingtai 054001, China
  • 5College of Physics and Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang 050024, China

  • *These authors contributed equally to this work.
  • †Corresponding author: luosz@jlu.edu.cn.
  • ‡Corresponding author: dajund@jlu.edu.cn

Phys. Rev. Research 5, L032044 – Published 25 September, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L032044

Abstract

The initial momentum along laser propagation plays a significant role in the electron dynamics during tunneling ionization. Our study shows that the offset emission angle decreases with increasing lateral momentum. By using three-dimensional strong-field approximation calculations with initial transverse momentum and a Coulomb correction, we accurately reproduce the transverse momentum-dependent angular shifts of Ar, Kr, and Xe atoms. We find that these shifts are attributed to the influence of initial momentum, tunneling exits, and a long-range Coulomb potential during electron propagation. Additionally, we establish a formula to reconstruct the initial transverse momentum from the final transverse momentum. The result may provide another perspective on attosecond angular streaking, which is crucial for understanding the influence of the Coulomb potential on electron motion.

View figure in article

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (42)

  1. P. Eckle, A. N. Pfeiffer, C. Cirelli, A. Staudte, R. Dörner, H. G. Muller, M. Büttiker, and U. Keller, Attosecond ionization and tunneling delay time measurements in helium, Science 322, 1525 (2008).
  2. 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, Attosecond angular streaking and tunnelling time in atomic hydrogen, Nature (London) 568, 75 (2019).
  3. S. Eckart, M. Kunitski, M. Richter, A. Hartung, J. Rist, F. Trinter, K. Fehre, N. Schlott, K. Henrichs, L. P. H. Schmidt, T. Jahnke, M. Schöffler, K. Liu, I. Barth, J. Kaushal, F. Morales, M. Ivanov, O. Smirnova, and R. Dörner, Ultrafast preparation and detection of ring currents in single atoms, Nat. Phys. 14, 701 (2018).
  4. N. Camus, E. Yakaboylu, L. Fechner, M. Klaiber, M. Laux, Y. Mi, K. Z. Hatsagortsyan, T. Pfeifer, C. H. Keitel, and R. Moshammer, Experimental Evidence for Quantum Tunneling Time, Phys. Rev. Lett. 119, 023201 (2017).
  5. A. N. Pfeiffer, C. Cirelli, M. Smolarski, D. Dimitrovski, M. Abu-samha, L. B. Madsen, and U. Keller, Attoclock reveals natural coordinates of the laser-induced tunnelling current flow in atoms, Nat. Phys. 8, 76 (2012).
  6. N. Hartmann, R. H. G. Hartmann, M. S. Wagner, M. Ilchen, J. Buck, C. B. A. O. Lindahl, J. Grünert, J. Krzywinski, J. Liu, A. A. Lutman, A. Marinelli, T. Maxwell, A. A. Miahnahri, S. P. Moeller, M. Planas, J. Robinson, A. K. Kazansky, N. M. Kabachnik, J. Viefhaus, T. Feurer et al., Attosecond time-energy structure of x-ray free-electron laser pulses, Nat. Photonics 12, 215 (2018).
  7. J. Duris, S. Li, T. Driver, E. G. Champenois, J. P. MacArthur, A. A. Lutman, Z. Zhang, P. Rosenberger, J. W. Aldrich, R. Coffee, G. Coslovich, F.-J. Decker, J. M. Glownia, G. Hartmann, W. Helml, A. Kamalov, J. Knurr, J. Krzywinski, M.-F. Lin, J. P. Marangos et al., Tunable isolated attosecond x-ray pulses with gigawatt peak power from a free-electron laser, Nat. Photonics 14, 30 (2020).
  8. Z. X. Zhao, Z. Chang, X. M. Tong, and C. D. Lin, Circularly-polarized laser-assisted photoionization spectra of argon for attosecond pulse measurements, Opt. Express 13, 1966 (2005).
  9. X. Zhao, S. Li, T. Driver, V.-H. Hoang, A.-T. Le, J. P. Cryan, A. Marinelli, and C. D. Lin, Characterization of single-shot attosecond pulses with angular streaking photoelectron spectra, Phys. Rev. A 105, 013111 (2022).
  10. T. Uphues, M. Schultze, M. F. Kling, M. Uiberacker, S. Hendel, U. Heinzmann, N. M. Kabachnik, and M. Drescher, Ion-charge-state chronoscopy of cascaded atomic Auger decay, New J. Phys. 10, 025009 (2008).
  11. D. C. Haynes, M. Wurzer, A. Schletter, A. Al-Haddad, C. Blaga, C. Bostedt, J. Bozek, H. Bromberger, M. Bucher, A. Camper, S. Carron, R. Coffee, J. T. Costello, L. F. DiMauro, Y. Ding, K. Ferguson, I. Grguraš, W. Helml, M. C. Hoffmann, M. Ilchen et al., Clocking Auger electrons, Nat. Phys. 17, 512 (2021).
  12. L. Torlina, F. Morales, J. Kaushal, I. Ivanov, A. Kheifets, A. Zielinski, A. Scrinzi, H. G. Muller, S. Sukiasyan, M. Ivanov, and O. Smirnova, Interpreting attoclock measurements of tunnelling times, Nat. Phys. 11, 503 (2015).
  13. H. Ni, U. Saalmann, and J.-M. Rost, Tunneling Ionization Time Resolved by Backpropagation, Phys. Rev. Lett. 117, 023002 (2016).
  14. I. Babushkin, Á. J. Galán, J. R. C. de Andrade, A. Husakou, F. Morales, M. Kretschmar, T. Nagy, V. Vaičaitis, L. Shi, D. Zuber, L. Bergé, S. Skupin, I. A. Nikolaeva, N. A. Panov, D. E. Shipilo, O. G. Kosareva, A. N. Pfeiffer, A. Demircan, M. J. J. Vrakking, U. Morgner et al., All-optical attoclock for imaging tunnelling wavepackets, Nat. Phys. 18, 417 (2022).
  15. D. Trabert, N. Anders, S. Brennecke, M. S. Schöffler, T. Jahnke, L. P. H. Schmidt, M. Kunitski, M. Lein, R. Dörner, and S. Eckart, Nonadiabatic Strong Field Ionization of Atomic Hydrogen, Phys. Rev. Lett. 127, 273201 (2021).
  16. R. Boge, C. Cirelli, A. S. Landsman, S. Heuser, A. Ludwig, J. Maurer, M. Weger, L. Gallmann, and U. Keller, Probing Nonadiabatic Effects in Strong-Field Tunnel Ionization, Phys. Rev. Lett. 111, 103003 (2013).
  17. M. Li, Y. Liu, H. Liu, Q. Ning, L. Fu, J. Liu, Y. Deng, C. Wu, L.-Y. Peng, and Q. Gong, Subcycle Dynamics of Coulomb Asymmetry in Strong Elliptical Laser Fields, Phys. Rev. Lett. 111, 023006 (2013).
  18. M. Ivanov and O. Smirnova, How Accurate Is the Attosecond Streak Camera? Phys. Rev. Lett. 107, 213605 (2011).
  19. S. P. Goreslavski, G. G. Paulus, S. V. Popruzhenko, and N. I. Shvetsov-Shilovski, Coulomb Asymmetry in Above-Threshold Ionization, Phys. Rev. Lett. 93, 233002 (2004).
  20. A. S. Landsman, C. Hofmann, A. N. Pfeiffer, C. Cirelli, and U. Keller, Unified Approach to Probing Coulomb Effects in Tunnel Ionization for Any Ellipticity of Laser Light, Phys. Rev. Lett. 111, 263001 (2013).
  21. S. Brennecke, S. Eckart, and M. Lein, Attoclock with bicircular laser fields as a probe of velocity-dependent tunnel-exit positions, J. Phys. B: At., Mol. Opt. Phys. 54, 164001 (2021).
  22. S. Eckart, K. Fehre, N. Eicke, A. Hartung, J. Rist, D. Trabert, N. Strenger, A. Pier, L. Ph. H. Schmidt, T. Jahnke, M. S. Schöffler, M. Lein, M. Kunitski, and R. Dörner, Direct Experimental Access to the Nonadiabatic Initial Momentum Offset upon Tunnel Ionization, Phys. Rev. Lett. 121, 163202 (2018).
  23. K. Lin, X. Chen, S. Eckart, H. Jiang, A. Hartung, D. Trabert, K. Fehre, J. Rist, L. Ph. H. Schmidt, M. S. Schöffler, T. Jahnke, M. Kunitski, F. He, and R. Dörner, Magnetic-Field Effect as a Tool to Investigate Electron Correlation in Strong-Field Ionization, Phys. Rev. Lett. 128, 113201 (2022).
  24. B. Willenberg, J. Maurer, B. W. Mayer, and U. Keller, Sub-cycle time resolution of multi-photon momentum transfer in strong-field ionization, Nat. Commun. 10, 5548 (2019).
  25. H. Ni, S. Brennecke, X. Gao, P.-L. He, S. Donsa, I. Brezinova, F. He, J. Wu, M. Lein, X.-M. Tong, and J. Burgdorfer, Theory of Subcycle Linear Momentum Transfer in Strong-Field Tunneling Ionization, Phys. Rev. Lett. 125, 073202 (2020).
  26. J. Daněk, K. Z. Hatsagortsyan, and C. H. Keitel, Analytical approach to Coulomb focusing in strong-field ionization. I. Nondipole effects, Phys. Rev. A 97, 063409 (2018).
  27. D. Comtois, D. Zeidler, H. Pépin, J. C. Kieffer, D. M. Villeneuve, and P. B. Corkum, Observation of Coulomb focusing in tunnelling ionization of noble gases, J. Phys. B: At., Mol. Opt. Phys. 38, 1923 (2005).
  28. D. Shafir, H. Soifer, C. Vozzi, A. S. Johnson, A. Hartung, Z. Dube, D. M. Villeneuve, P. B. Corkum, N. Dudovich, and A. Staudte, Trajectory-Resolved Coulomb Focusing in Tunnel Ionization of Atoms with Intense, Elliptically Polarized Laser Pulses, Phys. Rev. Lett. 111, 023005 (2013).
  29. X. Huang, Q. Zhang, S. Xu, X. Fu, X. Han, W. Cao, and P. Lu, Coulomb focusing in retrapped ionization with near-circularly polarized laser field, Opt. Express 27, 38116 (2019).
  30. T. Brabec, M. Y. Ivanov, and P. B. Corkum, Coulomb focusing in intense field atomic processes, Phys. Rev. A 54, R2551 (1996).
  31. S. Grundmann, D. Trabert, K. Fehre, N. Strenger, A. Pier, L. Kaiser, M. Kircher, M. Weller, S. Eckart, L. P. H. Schmidt, F. Trinter, T. Jahnke, M. S. Schöffler, and R. Dörner, Zeptosecond birth time delay in molecular photoionization, Science 370, 339 (2020).
  32. J. Maurer, D. Dimitrovski, L. Christensen, L. B. Madsen, and H. Stapelfeldt, Molecular-Frame 3D Photoelectron Momentum Distributions by Tomographic Reconstruction, Phys. Rev. Lett. 109, 123001 (2012).
  33. D. Dimitrovski, J. Maurer, H. Stapelfeldt, and L. B. Madsen, Low-Energy Photoelectrons in Strong-Field Ionization by Laser Pulses with Large Ellipticity, Phys. Rev. Lett. 113, 103005 (2014).
  34. I. Petersen, J. Henkel, and M. Lein, Signatures of Molecular Orbital Structure in Lateral Electron Momentum Distributions from Strong-Field Ionization, Phys. Rev. Lett. 114, 103004 (2015).
  35. X. Zhao, T. Xu, X. Yu, D. Ren, M. Li, X. Zhang, X. Li, P. Ma, D. Zhang, C. Wang, Q. Wang, X. Hu, Y. Wu, J. Wang, and D. Ding, Probing electron localization during molecular dissociation by femtosecond strong-field ion momentum spectroscopy, Commun. Phys. 6, 124 (2023).
  36. E. Kutscher, A. N. Artemyev, and P. V. Demekhin, Photoelectron circular dichroism in fenchone by short coherent broadband laser pulses, Phys. Rev. A 107, 013107 (2023).
  37. K. Fehre, S. Eckart, M. Kunitski, C. Janke, D. Trabert, J. Rist, M. Weller, A. Hartung, M. Pitzer, L. Ph. H. Schmidt, T. Jahnke, R. Dörner, and M. S. Schöffler, Angular streaking in strong field ionization of chiral molecules, Phys. Rev. Res. 1, 033045 (2019).
  38. R. Dörner, V. Mergel, O. Jagutzki, L. Spielberger, J. Ullrich, R. Moshammer, and H. Schmidt-Böcking, Cold target recoil ion momentum spectroscopy: a ‘momentum microscope’ to view atomic collision dynamics, Phys. Rep. 330, 95 (2000).
  39. J. Ullrich, R. Moshammer, A. Dorn, R. Dörner, L. P. H. Schmidt, and H. Schmidt-Böcking, Recoil-ion and electron momentum spectroscopy: reaction-microscopes, Rep. Prog. Phys. 66, 1463 (2003).
  40. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevResearch.5.L032044 for detailed theoretical methods, and additional experimental and theoretical results.
  41. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'Huillier, and P. B. Corkum, Theory of high-harmonic generation by low-frequency laser fields, Phys. Rev. A 49, 2117 (1994).
  42. T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, Low-Energy Structures in Strong Field Ionization Revealed by Quantum Orbits, Phys. Rev. Lett. 105, 253002 (2010).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation