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  • Open Access

Subcycle pulse control of holographic and nonholographic electron interferences

Rambabu Rajpoot* and Eiji J. Takahashi†

  • *Contact author: rambabu.rajpoot@riken.jp
  • †Contact author: ejtak@riken.jp

Phys. Rev. Research 8, 013323 – Published 25 March, 2026

DOI: https://doi.org/10.1103/44rz-wp1l

Abstract

We investigate the influence of subcycle laser pulses on holographic and nonholographic intracycle interferences by analyzing the photoelectron momentum distributions of helium using time-dependent Schrödinger equation simulations supported by classical-trajectory calculations. The results show that the forward-scattering holographic (FSH), backward-scattering holographic (BSH), and time double-slit (TDS) interference structures are found to be highly sensitive to the pulse duration, carrier-envelope phase (CEP), and temporal envelope in the subcycle regime. Subcycle pulses with CEP values of 0∘ and 90∘ selectively enhance or suppress distinct features, isolating holographic patterns and enhancing BSH fringes. Classical analysis reveals that the intrinsic chirp inherent to subcycle fields shortens the recollision time for scattering trajectories, thereby increasing the fringe spacing in FSH and BSH patterns, while simultaneously enlarging the above-threshold ionization peak spacing associated with TDS interference. Pulse envelope variations, even at fixed FWHM duration, further reshape the fringe spacings by modifying the instantaneous frequency and vector potential slope near ionization times. These results demonstrate that subcycle pulses enable precise temporal control of holographic interference, offering opportunities for probing and manipulating attosecond electron dynamics.

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References (61)

  1. M. Ferray, A. L’Huillier, X. F. Li, L. A. Lompre, G. Mainfray, and C. Manus, Multiple-harmonic conversion of 1064 nm radiation in rare gases, J. Phys. B: At. Mol. Opt. Phys. 21, L31 (1988).
  2. J. L. Krause, K. J. Schafer, and K. C. Kulander, High-order harmonic generation from atoms and ions in the high intensity regime, Phys. Rev. Lett. 68, 3535 (1992).
  3. P. Agostini and L. F. DiMauro, The physics of attosecond light pulses, Rep. Prog. Phys. 67, 813 (2004).
  4. P. B. Corkum and F. Krausz, Attosecond science, Nat. Phys. 3, 381 (2007).
  5. F. Krausz and M. Ivanov, Attosecond physics, Rev. Mod. Phys. 81, 163 (2009).
  6. K. J. Schafer, B. Yang, L. F. DiMauro, and K. C. Kulander, Above threshold ionization beyond the high harmonic cutoff, Phys. Rev. Lett. 70, 1599 (1993).
  7. G. G. Paulus, W. Nicklich, H. Xu, P. Lambropoulos, and H. Walther, Plateau in above threshold ionization spectra, Phys. Rev. Lett. 72, 2851 (1994).
  8. W. Becker, F. Grasbon, R. Kopold, D. Milošević, G. Paulus, and H. Walther, Above-Threshold Ionization: From Classical Features to Quantum Effects (Academic Press, San Diego, CA, USA, 2002), pp. 35–98.
  9. D. N. Fittinghoff, P. R. Bolton, B. Chang, and K. C. Kulander, Observation of nonsequential double ionization of helium with optical tunneling, Phys. Rev. Lett. 69, 2642 (1992).
  10. B. Walker, B. Sheehy, L. F. DiMauro, P. Agostini, K. J. Schafer, and K. C. Kulander, Precision measurement of strong field double ionization of helium, Phys. Rev. Lett. 73, 1227 (1994).
  11. W. Becker, X. Liu, P. J. Ho, and J. H. Eberly, Theories of photoelectron correlation in laser-driven multiple atomic ionization, Rev. Mod. Phys. 84, 1011 (2012).
  12. J. J. Barton, Photoelectron holography, Phys. Rev. Lett. 61, 1356 (1988).
  13. Y. Huismans, et al., Time-resolved holography with photoelectrons, Science 331, 61 (2011).
  14. X.-B. Bian, Y. Huismans, O. Smirnova, K.-J. Yuan, M. J. J. Vrakking, and A. D. Bandrauk, Subcycle interference dynamics of time-resolved photoelectron holography with midinfrared laser pulses, Phys. Rev. A 84, 043420 (2011).
  15. Y. Huismans, A. Gijsbertsen, A. S. Smolkowska, J. H. Jungmann, A. Rouzée, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, M. Y. Ivanov, T.-M. Yan, D. Bauer, O. Smirnova, and M. J. J. Vrakking, Scaling laws for photoelectron holography in the midinfrared wavelength regime, Phys. Rev. Lett. 109, 013002 (2012).
  16. M. Haertelt, X.-B. Bian, M. Spanner, A. Staudte, and P. B. Corkum, Probing molecular dynamics by laser-induced backscattering holography, Phys. Rev. Lett. 116, 133001 (2016).
  17. N. I. Shvetsov-Shilovski and M. Lein, Effects of the Coulomb potential in interference patterns of strong-field holography with photoelectrons, Phys. Rev. A 97, 013411 (2018).
  18. C. Figueira de Morisson Faria and A. S. Maxwell, It is all about phases: Ultrafast holographic photoelectron imaging, Rep. Prog. Phys. 83, 034401 (2020).
  19. T. Remetter, P. Johnsson, J. Mauritsson, K. Varjú, Y. Ni, F. Lépine, E. Gustafsson, M. Kling, J. Khan, R. López-Martens, K. J. Schafer, M. J. J. Vrakking, and A. L’Huillier, Attosecond electron wave packet interferometry, Nat. Phys. 2, 323 (2006).
  20. K. J. Schafer and K. C. Kulander, Energy analysis of time-dependent wave functions: Application to above-threshold ionization, Phys. Rev. A 42, 5794 (1990).
  21. R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses, Phys. Rev. Lett. 103, 053001 (2009).
  22. H. Du, H. Wu, H. Wang, S. Yue, and B. Hu, Theoretical scheme for simultaneously observing forward–backward photoelectron holography, Opt. Lett. 41, 697 (2016).
  23. M. Murakami and G.-P. Zhang, Observation of attosecond electron dynamics in the photoelectron momentum distribution of atoms using few-cycle laser pulses, Phys. Rev. A 101, 053439 (2020).
  24. A. Taoutioui and K. Tőkési, Identifying the complexity of the holographic structures in strong field ionization, Sci. Rep. 12, 2877 (2022).
  25. T. Khurelbaatar, J. Heo, S. Yu, X. Lai, X. Liu, and D. E. Kim, Strong-field photoelectron holography in the subcycle limit, Light: Sci. Appl. 13, 108 (2024).
  26. K. Nishimiya and E. J. Takahashi, Advances in dual-chirped optical parametric amplification, Adv. Phys.: X 10, 2528351 (2025).
  27. L. Xu and E. J. Takahashi, Dual-chirped optical parametric amplification of high-energy single-cycle laser pulses, Nat. Photon. 18, 99 (2024).
  28. K. Nishimiya, F. Wang, P. Lan, and E. J. Takahashi, Octave-spanning supercontinuum coherent soft x-ray for producing a single-cycle soft x-ray pulse, Opt. Lett. 49, 5779 (2024).
  29. G. M. Rossi, R. E. Mainz, Y. Yang, F. Scheiba, M. A. Silva-Toledo, S.-H. Chia, P. D. Keathley, S. Fang, O. D. Mücke, C. Manzoni, G. Cerullo, G. Cirmi, and F. X. Kärtner, Sub-cycle millijoule-level parametric waveform synthesizer for attosecond science, Nat. Photon. 14, 629 (2020).
  30. Z. Nie, C.-H. Pai, J. Hua, C. Zhang, Y. Wu, Y. Wan, F. Li, J. Zhang, Z. Cheng, Q. Su, S. Liu, Y. Ma, X. Ning, Y. He, W. Lu, H.-H. Chu, J. Wang, W. B. Mori, and C. Joshi, Relativistic single-cycle tunable infrared pulses generated from a tailored plasma density structure, Nat. Photon. 12, 489 (2018).
  31. H. Liang, P. Krogen, Z. Wang, H. Park, T. Kroh, K. Zawilski, P. Schunemann, J. Moses, L. F. DiMauro, F. X. Kärtner, and K.-H. Hong, High-energy mid-infrared sub-cycle pulse synthesis from a parametric amplifier, Nat. Commun. 8, 141 (2017).
  32. W.-C. Chu, J. C. Travers, and P. S. J. Russell, Near-ionization-threshold emission in atomic gases driven by intense sub-cycle pulses, New J. Phys. 18, 023018 (2016).
  33. T. Balciunas, C. Fourcade-Dutin, G. Fan, T. Witting, A. A. Voronin, A. M. Zheltikov, F. Gerome, G. G. Paulus, A. Baltuska, and F. Benabid, A strong-field driver in the single-cycle regime based on self-compression in a kagome fibre, Nat. Commun. 6, 6117 (2015).
  34. A. A. Voronin, J. M. Mikhailova, M. Gorjan, Z. Major, and A. M. Zheltikov, Pulse compression to subcycle field waveforms with split-dispersion cascaded hollow fibers, Opt. Lett. 38, 4354 (2013).
  35. G. Krauss, S. Lohss, T. Hanke, A. Sell, S. Eggert, R. Huber, and A. Leitenstorfer, Synthesis of a single cycle of light with compact erbium-doped fibre technology, Nat. Photon. 4, 33 (2010).
  36. M.-H. Yuan, A. D. Bandrauk, and X.-B. Bian, Exploring recollision of ultrafast electrons from photoelectron momentum distributions using single-cycle near-infrared laser pulses, Phys. Rev. A 103, 013108 (2021).
  37. Q. Lin, J. Zheng, and W. Becker, Subcycle pulsed focused vector beams, Phys. Rev. Lett. 97, 253902 (2006).
  38. Q. Lin, J. Zheng, J. Dai, I.-C. Ho, and X.-C. Zhang, Intrinsic chirp of single-cycle pulses, Phys. Rev. A 81, 043821 (2010).
  39. X. Cai, J. Zhao, Q. Lin, J. Luo, and Y. Yang, Propagation of intrinsic chirped sub-cycle and single-cycle pulses in a silica fiber, Opt. Commun. 366, 221 (2016).
  40. R. Rajpoot and E. J. Takahashi, Systematic analysis of an attosecond pulse generation by a subcycle laser field, Phys. Rev. Res. 7, 013047 (2025).
  41. J. Zheng, E. Qiu, and Q. Lin, High harmonic generation with sub-cycle pulses, J. Opt. 13, 075206 (2011).
  42. A. R. Holkundkar, R. Rajpoot, and J. N. Bandyopadhyay, High-order harmonic generation by sub-cycle laser pulses and associated scaling laws, Phys. Lett. A 461, 128645 (2023).
  43. K. Nishimiya, R. Rajpoot, and E. J. Takahashi, Towards intense single-digit attosecond pulses with a 100-mJ-class mid-infrared sub-cycle laser, arXiv:2510.27096.
  44. V. Tulsky and D. Bauer, Qprop with faster calculation of photoelectron spectra, Comput. Phys. Commun. 251, 107098 (2020).
  45. P. B. Corkum, Plasma perspective on strong field multiphoton ionization, Phys. Rev. Lett. 71, 1994 (1993).
  46. A. D. Bandrauk, S. Chelkowski, and S. Goudreau, Control of harmonic generation using two-colour femtosecond–attosecond laser fields: Quantum and classical perspectives, J. Mod. Opt. 52, 411 (2005).
  47. M. Ammosov, M. Delone, and V. Krainov, Tunnel ionization of complex atoms and atomic ions in an alternating electromagnetic field, Sov. Phys. JETP 64, 1191 (1986).
  48. Z. Wang, Q. Lin, and Z. Wang, Single-cycle electromagnetic pulses produced by oscillating electric dipoles, Phys. Rev. E 67, 016503 (2003).
  49. E. Heyman and L. B. Felsen, Complex-source pulsed-beam fields, J. Opt. Soc. Am. A 6, 806 (1989).
  50. L. V. Keldysh, Ionization in the field of a strong electromagnetic wave, Sov. Phys. JETP 20, 1307 (1965).
  51. T. Marchenko, Y. Huismans, K. J. Schafer, and M. J. J. Vrakking, Criteria for the observation of strong-field photoelectron holography, Phys. Rev. A 84, 053427 (2011).
  52. D. A. Telnov and S.-I. Chu, Above-threshold-ionization spectra from the core region of a time-dependent wave packet: An ab initio time-dependent approach, Phys. Rev. A 79, 043421 (2009).
  53. D. G. Arbó, E. Persson, and J. Burgdörfer, Time double-slit interferences in strong-field tunneling ionization, Phys. Rev. A 74, 063407 (2006).
  54. D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, Intracycle and intercycle interferences in above-threshold ionization: The time grating, Phys. Rev. A 81, 021403(R) (2010).
  55. X.-B. Bian and A. D. Bandrauk, Attosecond time-resolved imaging of molecular structure by photoelectron holography, Phys. Rev. Lett. 108, 263003 (2012).
  56. 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).
  57. M. Lewenstein, P. Salières, and A. L’Huillier, Phase of the atomic polarization in high-order harmonic generation, Phys. Rev. A 52, 4747 (1995).
  58. M. Li, J. Yuan, X. Sun, J. Yu, Q. Gong, and Y. Liu, Recollision-induced subcycle interference of molecules in strong laser fields, Phys. Rev. A 89, 033425 (2014).
  59. S. Borbély, A. Tóth, K. Tőkési, and L. Nagy, Spatial and temporal interference during the ionization of h by few-cycle XUV laser pulses, Phys. Rev. A 87, 013405 (2013).
  60. S. Brennecke, N. Eicke, and M. Lein, Gouy's phase anomaly in electron waves produced by strong-field ionization, Phys. Rev. Lett. 124, 153202 (2020).
  61. S. G. Yu, X. Y. Lai, Y. L. Wang, S. P. Xu, L. Q. Hua, W. Quan, and X. J. Liu, Photoelectron holography from multiple-return backscattering electron orbits, Phys. Rev. A 101, 023414 (2020).

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