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Below-threshold nonsequential double ionization with linearly polarized two-color fields. I. Symmetry and dominance

S. Hashim1, D. Habibović2, and C. Figueira de Morisson Faria1,3

Phys. Rev. A 112, 023118 – Published 27 August, 2025

DOI: https://doi.org/10.1103/b6b3-mt29

Abstract

We investigate laser-induced nonsequential double ionization with linearly polarized bichromatic fields, focusing on the recollision-excitation with subsequent ionization (RESI) mechanism. Using the strong-field approximation, we assess how the symmetries of the field influence the dominant events. Furthermore, we show that, by manipulating the field parameters such as the field frequencies and relative phase between the two driving waves, one can influence the correlated electron-momentum distributions. Specific features of a linearly polarized bichromatic field are that the momentum distributions of the second electron are no longer centered around vanishing momenta and that there may be more than one ionization event per half-cycle. This can be used to confine the RESI distributions to specific momentum regions and to determine a hierarchy of parameters that make an event dominant.

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Below-threshold nonsequential double ionization with linearly polarized two-color fields. II. Quantum interference

S. Hashim, D. Habibović, and C. Figueira de Morisson Faria
Phys. Rev. A 112, 023119 (2025)

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References (126)

  1. T. Brabec and F. Krausz, Intense few-cycle laser fields: Frontiers of nonlinear optics, Rev. Mod. Phys. 72, 545 (2000).
  2. F. Ehlotzky, Atomic phenomena in bichromatic laser fields, Phys. Rep. 345, 175 (2001).
  3. D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, Above-threshold ionization by few-cycle pulses, J. Phys. B: At. Mol. Opt. Phys. 39, R203 (2006).
  4. N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Y. Ivanov, D. M. Villeneuve, and P. B. Corkum, Measuring and controlling the birth of attosecond XUV pulses, Nat. Phys. 2, 781 (2006).
  5. G. Doumy, J. Wheeler, C. Roedig, R. Chirla, P. Agostini, and L. F. DiMauro, Attosecond synchronization of high-order harmonics from midinfrared drivers, Phys. Rev. Lett. 102, 093002 (2009).
  6. J. M. Dahlström, T. Fordell, E. Mansten, T. Ruchon, M. Swoboda, K. Klünder, M. Gisselbrecht, A. L'Huillier, and J. Mauritsson, Atomic and macroscopic measurements of attosecond pulse trains, Phys. Rev. A 80, 033836 (2009).
  7. 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).
  8. 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).
  9. A. N. Pfeiffer, C. Cirelli, A. S. Landsman, M. Smolarski, D. Dimitrovski, L. B. Madsen, and U. Keller, Probing the longitudinal momentum spread of the electron wave packet at the tunnel exit, Phys. Rev. Lett. 109, 083002 (2012).
  10. 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).
  11. I. A. Ivanov and A. S. Kheifets, Strong-field ionization of He by elliptically polarized light in attoclock configuration, Phys. Rev. A 89, 021402(R) (2014).
  12. A. S. Landsman, A. N. Pfeiffer, C. Hofmann, M. Smolarski, C. Cirelli, and U. Keller, Rydberg state creation by tunnel ionization, New J. Phys. 15, 013001 (2013).
  13. 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).
  14. M. Han, P. Ge, Y. Shao, Q. Gong, and Y. Liu, Attoclock photoelectron interferometry with two-color corotating circular fields to probe the phase and the amplitude of emitting wave packets, Phys. Rev. Lett. 120, 073202 (2018).
  15. N. Eicke and M. Lein, Attoclock with counter-rotating bicircular laser fields, Phys. Rev. A 99, 031402(R) (2019).
  16. D. Shafir, H. Soifer, B. D. Bruner, M. Dagan, Y. Mairesse, S. Patchkovskii, M. Y. Ivanov, O. Smirnova, and N. Dudovich, Resolving the time when an electron exits a tunnelling barrier, Nature (London) 485, 343 (2012).
  17. J. Zhao and M. Lein, Determination of ionization and tunneling times in high-order harmonic generation, Phys. Rev. Lett. 111, 043901 (2013).
  18. J. Henkel and M. Lein, Analysis of electron trajectories with two-color strong-field ionization, Phys. Rev. A 92, 013422 (2015).
  19. O. Pedatzur, G. Orenstein, V. Serbinenko, H. Soifer, B. D. Bruner, A. J. Uzan, D. S. Brambila, A. G. Harvey, L. Torlina, F. Morales, O. Smirnova, and N. Dudovich, Attosecond tunnelling interferometry, Nat. Phys. 11, 815 (2015).
  20. M. Klaiber, K. Z. Hatsagortsyan, and C. H. Keitel, Under-the-tunneling-barrier recollisions in strong-field ionization, Phys. Rev. Lett. 120, 013201 (2018).
  21. O. Smirnova, Y. Mairesse, and S. Patchkovskii, Opportunities for chiral discrimination using high harmonic generation in tailored laser fields, J. Phys. B: At. Mol. Opt. Phys. 48, 234005 (2015).
  22. D. Ayuso, P. Decleva, S. Patchkovskii, and O. Smirnova, Chiral dichroism in bi-elliptical high-order harmonic generation, J. Phys. B: At. Mol. Opt. Phys. 51, 06LT01 (2018).
  23. D. Ayuso, P. Decleva, S. Patchkovskii, and O. Smirnova, Strong-field control and enhancement of chiral response in bi-elliptical high-order harmonic generation: an analytical model, J. Phys. B: At. Mol. Opt. Phys. 51, 124002 (2018).
  24. D. Baykusheva and H. J. Wörner, Chiral discrimination through bielliptical high-harmonic spectroscopy, Phys. Rev. X 8, 031060 (2018).
  25. D. Habibović, K. R. Hamilton, O. Neufeld, and L. Rego, Emerging tailored light sources for studying chirality and symmetry, Nat. Rev. Phys. 6, 663 (2024).
  26. J. M. Ngoko Djiokap, S. X. Hu, L. B. Madsen, N. L. Manakov, A. V. Meremianin, and A. F. Starace, Electron vortices in photoionization by circularly polarized attosecond pulses, Phys. Rev. Lett. 115, 113004 (2015).
  27. T. Bayer, C. Philipp, K. Eickhoff, and M. Wollenhaupt, Atomic photoionization dynamics in ultrashort cycloidal laser fields, Phys. Rev. A 102, 013104 (2020).
  28. Y. Kang, E. Pisanty, M. Ciappina, M. Lewenstein, C. Figueira de Morisson Faria, and A. S. Maxwell, Conservation laws for electron vortices in strong-field ionisation, Eur. Phys. J. D 75, 199 (2021).
  29. A. S. Maxwell, G. S. J. Armstrong, M. F. Ciappina, E. Pisanty, Y. Kang, A. C. Brown, M. Lewenstein, and C. Figueira de Morisson Faria, Manipulating twisted electrons in strong-field ionization, Faraday Discuss. 228, 394 (2021).
  30. S. Skruszewicz, J. Tiggesbäumker, K.-H. Meiwes-Broer, M. Arbeiter, T. Fennel, and D. Bauer, Two-color strong-field photoelectron spectroscopy and the phase of the phase, Phys. Rev. Lett. 115, 043001 (2015).
  31. M. A. Almajid, M. Zabel, S. Skruszewicz, J. Tiggesbäumker, and D. Bauer, Two-color phase-of-the-phase spectroscopy in the multiphoton regime, J. Phys. B: At. Mol. Opt. Phys. 50, 194001 (2017).
  32. D. Würzler, S. Skruszewicz, A. M. Sayler, D. Zille, M. Möller, P. Wustelt, Y. Zhang, J. Tiggesbäumker, and G. G. Paulus, Accurate retrieval of ionization times by means of the phase-of-the-phase spectroscopy, and its limits, Phys. Rev. A 101, 033416 (2020).
  33. V. A. Tulsky, M. A. Almajid, and D. Bauer, Two-color phase-of-the-phase spectroscopy with circularly polarized laser pulses, Phys. Rev. A 98, 053433 (2018).
  34. V. A. Tulsky, B. Krebs, J. Tiggesbäumker, and D. Bauer, Revealing laser-coherent electron features using phase-of-the-phase spectroscopy, J. Phys. B: At. Mol. Opt. Phys. 53, 074001 (2020).
  35. A. S. Landsman and U. Keller, Tunnelling time in strong field ionisation, J. Phys. B: At. Mol. Opt. Phys. 47, 204024 (2014).
  36. L. Zhang, X. Xie, S. Roither, Y. Zhou, P. Lu, D. Kartashov, M. Schöffler, D. Shafir, P. B. Corkum, A. Baltuška, A. Staudte, and M. Kitzler, Subcycle control of electron-electron correlation in double ionization, Phys. Rev. Lett. 112, 193002 (2014).
  37. M. Richter, M. Kunitski, M. Schöffler, T. Jahnke, L. P. Schmidt, M. Li, Y. Liu, and R. Dörner, Streaking temporal double slit interference by an orthogonal two-color laser field, J. Phys.: Conf. Ser. 635, 092036 (2015).
  38. T. Das, B. B. Augstein, and C. Figueira de Morisson Faria, High-order-harmonic generation from diatomic molecules in driving fields with nonvanishing ellipticity: A generalized interference condition, Phys. Rev. A 88, 023404 (2013).
  39. T. Das, B. B. Augstein, C. Figueira de Morisson Faria, L. E. Chipperfield, D. J. Hoffmann, and J. P. Marangos, Extracting an electron's angle of return from shifted interference patterns in macroscopic high-order-harmonic spectra of diatomic molecules, Phys. Rev. A 92, 023406 (2015).
  40. Y. Li, Y. Zhou, M. He, M. Li, and P. Lu, Identifying backward-rescattering photoelectron hologram with orthogonal two-color laser fields, Opt. Express 24, 23697 (2016).
  41. M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity, Phys. Rev. Lett. 119, 073201 (2017).
  42. X. Gong, C. Lin, F. He, Q. Song, K. Lin, Q. Ji, W. Zhang, J. Ma, P. Lu, Y. Liu, H. Zeng, W. Yang, and J. Wu, Energy-resolved ultrashort delays of photoelectron emission clocked by orthogonal two-color laser fields, Phys. Rev. Lett. 118, 143203 (2017).
  43. X. Xie, T. Wang, S. G. Yu, X. Y. Lai, S. Roither, D. Kartashov, A. Baltuška, X. J. Liu, A. Staudte, and M. Kitzler, Disentangling intracycle interferences in photoelectron momentum distributions using orthogonal two-color laser fields, Phys. Rev. Lett. 119, 243201 (2017).
  44. D. Habibović, W. Becker, and D. B. Milošević, Symmetries and selection rules of the spectra of photoelectrons and high-order harmonics generated by field-driven atoms and molecules, Symmetry 13, 1566 (2021).
  45. D. B. Milošević, W. Becker, and R. Kopold, Generation of circularly polarized high-order harmonics by two-color coplanar field mixing, Phys. Rev. A 61, 063403 (2000).
  46. D. B. Milošević and W. Becker, Improved strong-field approximation and quantum-orbit theory: Application to ionization by a bicircular laser field, Phys. Rev. A 93, 063418 (2016).
  47. C. A. Mancuso, D. D. Hickstein, K. M. Dorney, J. L. Ellis, E. Hasović, R. Knut, P. Grychtol, C. Gentry, M. Gopalakrishnan, D. Zusin, F. J. Dollar, X.-M. Tong, D. B. Milošević, W. Becker, H. C. Kapteyn, and M. M. Murnane, Controlling electron-ion rescattering in two-color circularly polarized femtosecond laser fields, Phys. Rev. A 93, 053406 (2016).
  48. V.-H. Hoang, V.-H. Le, C. D. Lin, and A.-T. Le, Retrieval of target structure information from laser-induced photoelectrons by few-cycle bicircular laser fields, Phys. Rev. A 95, 031402(R) (2017).
  49. S. Eckart, M. Kunitski, I. Ivanov, M. Richter, K. Fehre, A. Hartung, J. Rist, K. Henrichs, D. Trabert, N. Schlott, L. P. H. Schmidt, T. Jahnke, M. S. Schöffler, A. Kheifets, and R. Dörner, Subcycle interference upon tunnel ionization by counter-rotating two-color fields, Phys. Rev. A 97, 041402(R) (2018).
  50. D. B. Milošević and W. Becker, Channel-closing effects in strong-field ionization by a bicircular field, J. Phys. B: At. Mol. Opt. Phys. 51, 054001 (2018).
  51. S. Yue, S. Brennecke, H. Du, and M. Lein, Probing dynamical symmetries by bicircular high-order harmonic spectroscopy beyond the Born-Oppenheimer approximation, Phys. Rev. A 101, 053438 (2020).
  52. S. Rozen, A. Comby, E. Bloch, S. Beauvarlet, D. Descamps, B. Fabre, S. Petit, V. Blanchet, B. Pons, N. Dudovich, and Y. Mairesse, Controlling subcycle optical chirality in the photoionization of chiral molecules, Phys. Rev. X 9, 031004 (2019).
  53. E. Pisanty, G. J. Machado, V. Vicuña-Hernández, A. Picón, A. Celi, J. P. Torres, and M. Lewenstein, Knotting fractional-order knots with the polarization state of light, Nat. Photon. 13, 569 (2019).
  54. L. E. Chipperfield, J. S. Robinson, J. W. G. Tisch, and J. P. Marangos, Ideal waveform to generate the maximum possible electron recollision energy for any given oscillation period, Phys. Rev. Lett. 102, 063003 (2009).
  55. P. B. Corkum, Plasma perspective on strong field multiphoton ionization, Phys. Rev. Lett. 71, 1994 (1993).
  56. W. Becker, S. P. Goreslavski, D. B. Milošević, and G. G. Paulus, The plateau in above-threshold ionization: The keystone of rescattering physics, J. Phys. B: At. Mol. Opt. Phys. 51, 162002 (2018).
  57. W. Becker, F. Grasbon, R. Kopold, D. B. Milošević, G. G. Paulus, and H. Walther, Above-threshold ionization: From classical features to quantum effects, Adv. At. Mol. Opt. Phys. 48, 35 (2002).
  58. 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).
  59. C. Figueira de Morisson Faria and X. Liu, Electron–electron correlation in strong laser fields, J. Mod. Opt. 58, 1076 (2011).
  60. W. Becker, X. J. Liu, P. J. Ho, and J. H. Eberly, Theories of photoelectron correlation in laser-driven multiple atomic ionization, Rev. Mod. Phys. 84, 1011 (2012).
  61. F. A. Cotton, Chemical Applications of Group Theory (Wiley-Interscience, Hoboken, NJ, 1990).
  62. H. Weyl, Symmetry (Princeton University Press, Princeton, NJ, 1952).
  63. M. Polak and R. Trivers, The science of symmetry in biology, Trends Ecol. Evol. 9, 122 (1994).
  64. O. E. Alon, V. Averbukh, and N. Moiseyev, Selection rules for the high harmonic generation spectra, Phys. Rev. Lett. 80, 3743 (1998).
  65. D. B. Milošević, Circularly polarized high harmonics generated by a bicircular field from inert atomic gases in the p state: A tool for exploring chirality-sensitive processes, Phys. Rev. A 92, 043827 (2015).
  66. X. Liu, X. Zhu, L. Li, Y. Li, Q. Zhang, P. Lan, and P. Lu, Selection rules of high-order-harmonic generation: Symmetries of molecules and laser fields, Phys. Rev. A 94, 033410 (2016).
  67. O. Neufeld, D. Podolsky, and O. Cohen, Floquet group theory and its application to selection rules in harmonic generation, Nat. Commun. 10, 405 (2019).
  68. M. Busuladžić, A. Gazibegović-Busuladžić, and D. B. Milošević, Strong-field ionization of homonuclear diatomic molecules by a bicircular laser field: Rotational and reflection symmetries, Phys. Rev. A 95, 033411 (2017).
  69. D. Habibović, A. Gazibegović-Busuladžić, M. Busuladžić, A. Čerkić, and D. B. Milošević, Strong-field ionization of homonuclear diatomic molecules using orthogonally polarized two-color laser fields, Phys. Rev. A 102, 023111 (2020).
  70. T. Rook, L. C. Rodriguez, and C. Figueira de Morisson Faria, Influence of catastrophes and hidden dynamical symmetries on ultrafast backscattered photoelectrons, Phys. Rev. Res. 6, 023329 (2024).
  71. O. Neufeld, M. E. Tzur, O. Kfir, A. Fleischer, and O. Cohen, Light's symmetry, asymmetry, and their role in nonlinear optics and ultrafast phenomena, arXiv:2503.19433.
  72. T. Rook and C. Figueira de Morisson Faria, Exploring symmetries in photoelectron holography with two-color linearly polarized fields, J. Phys. B: At. Mol. Opt. Phys. 55, 165601 (2022).
  73. X. Liu and C. Figueira de Morisson Faria, Nonsequential double ionization with few-cycle laser pulses, Phys. Rev. Lett. 92, 133006 (2004).
  74. B. Bergues, M. Kübel, N. G. Johnson, B. Fischer, N. Camus, K. J. Betsch, O. Herrwerth, A. Senftleben, a. M. Sayler, T. Rathje, T. Pfeifer, I. Ben-Itzhak, R. R. Jones, G. G. Paulus, F. Krausz, R. Moshammer, J. Ullrich, and M. F. Kling, Attosecond tracing of correlated electron-emission in non-sequential double ionization, Nat. Commun. 3, 813 (2012).
  75. C. Huang, W. Guo, Y. Zhou, and Z. Wu, Role of Coulomb repulsion in correlated-electron emission from a doubly excited state in nonsequential double ionization of molecules, Phys. Rev. A 93, 013416 (2016).
  76. M. Kübel, C. Burger, N. G. Kling, T. Pischke, L. Beaufore, I. Ben-Itzhak, G. G. Paulus, J. Ullrich, T. Pfeifer, R. Moshammer, M. F. Kling, and B. Bergues, Complete characterization of single-cycle double ionization of argon from the nonsequential to the sequential ionization regime, Phys. Rev. A 93, 053422 (2016).
  77. A. Chen, M. Kübel, B. Bergues, M. F. Kling, and A. Emmanouilidou, Non-sequential double ionization with near-single cycle laser pulses, Sci. Rep. 7, 7488 (2017).
  78. L. B. Fu, G. G. Xin, D. F. Ye, and J. Liu, Recollision dynamics and phase diagram for nonsequential double ionization with circularly polarized laser fields, Phys. Rev. Lett. 108, 103601 (2012).
  79. C. Huang, M. Zhong, and Z. Wu, Anomalous ellipticity dependence in nonsequential double ionization of ArXe, Sci. Rep. 8, 8772 (2018).
  80. W. Quan, Z. Lin, M. Wu, H. Kang, H. Liu, X. Liu, J. Chen, J. Liu, X. T. He, S. G. Chen, H. Xiong, L. Guo, H. Xu, Y. Fu, Y. Cheng, and Z. Z. Xu, Classical aspects in above-threshold ionization with a midinfrared strong laser field, Phys. Rev. Lett. 103, 093001 (2009).
  81. Q. Song, H. Li, J. Wang, P. Lu, X. Gong, Q. Ji, K. Lin, W. Zhang, J. Ma, H. Li, H. Zeng, F. He, and J. Wu, Double ionization of nitrogen molecules in orthogonal two-color femtosecond laser fields, J. Phys. B: At. Mol. Opt. Phys. 51, 074002 (2018).
  82. H. Pang, X. Huang, and C. Huang, Sub-cycle dynamics of nonsequential double ionization of Ar atom by few-cycle counter-rotating two-color circularly polarized laser fields, Int. J. Mod. Phys. B 34, 2050304 (2020).
  83. Z. Ge, L. Bai, X. Su, and K. Liu, Nonsequential double ionization channels control of CO2 molecules with counter-rotating two-color circularly polarized laser field by laser wavelength, Open Phys. 21, 20230114 (2023).
  84. Z. Liu, C. Huang, T. He, J. Liao, Y. Li, and B. Yu, The Coulomb effect in nonsequential double ionization by counter-rotating two-color elliptical polarization fields, Phys. Chem. Chem. Phys. 26, 4572 (2024).
  85. M. Lein, E. K. U. Gross, and V. Engel, Intense-field double ionization of helium: Identifying the mechanism, Phys. Rev. Lett. 85, 4707 (2000).
  86. J. S. Parker, B. J. S. Doherty, K. T. Taylor, K. D. Schultz, C. I. Blaga, and L. F. DiMauro, High-energy cutoff in the spectrum of strong-field nonsequential double ionization, Phys. Rev. Lett. 96, 133001 (2006).
  87. S. Baier, C. Ruiz, L. Plaja, and A. Becker, Nonsequential double ionization of the hydrogen molecule in a few-cycle laser pulse, Phys. Rev. A 74, 033405 (2006).
  88. S. Baier, C. Ruiz, L. Plaja, and A. Becker, Single and double ionization of the hydrogen molecule in an intense few-cycle laser pulse, Laser Phys. 17, 358 (2007).
  89. C. Figueira de Morisson Faria, H. Schomerus, X. Liu, and W. Becker, Electron-electron dynamics in laser-induced nonsequential double ionization, Phys. Rev. A 69, 043405 (2004).
  90. C. Figueira de Morisson Faria, X. Liu, A. Sanpera, and M. Lewenstein, Classical and quantum-mechanical treatments of nonsequential double ionization with few-cycle laser pulses, Phys. Rev. A 70, 043406 (2004).
  91. C. Figueira de Morisson Faria and M. Lewenstein, Bound-state corrections in laser-induced nonsequential double ionization, J. Phys. B: At. Mol. Opt. Phys. 38, 3251 (2005).
  92. C. Figueira de Morisson Faria, T. Shaaran, X. Liu, and W. Yang, Quantum interference in laser-induced nonsequential double ionization in diatomic molecules: Role of alignment and orbital symmetry, Phys. Rev. A 78, 043407 (2008).
  93. Z. Chen, Y. Liang, and C. D. Lin, Quantitative rescattering theory of correlated two-electron momentum spectra for strong-field nonsequential double ionization of helium, Phys. Rev. A 82, 063417 (2010).
  94. Z. Chen, Y. Wang, T. Morishita, X. Hao, J. Chen, O. Zatsarinny, and K. Bartschat, Revisiting the recollisional excitation-tunneling process in strong-field nonsequential double ionization of helium, Phys. Rev. A 100, 023405 (2019).
  95. Z. Chen, A. Zhou, T. Morishita, Y. Bai, X. Hao, O. Zatsarinny, and K. Bartschat, Anticorrelation in nonsequential double ionization of helium, Phys. Rev. A 103, 053102 (2021).
  96. Z. Chen, S. Li, H. Kang, T. Morishita, and K. Bartschat, Ellipticity dependence of anticorrelation in the nonsequential double ionization of Ar, Opt. Express 30, 44039 (2022).
  97. T. Shaaran, M. T. Nygren, and C. Figueira de Morisson Faria, Laser-induced nonsequential double ionization at and above the recollision-excitation-tunneling threshold, Phys. Rev. A 81, 063413 (2010).
  98. C. Figueira de Morisson Faria, T. Shaaran, and M. T. Nygren, Time-delayed nonsequential double ionization with few-cycle laser pulses: Importance of the carrier-envelope phase, Phys. Rev. A 86, 053405 (2012).
  99. T. Shaaran, C. Figueira de Morisson Faria, and H. Schomerus, Causality and quantum interference in time-delayed laser-induced nonsequential double ionization, Phys. Rev. A 85, 023423 (2012).
  100. S. Hashim, R. Tenney, and C. Figueira de Morisson Faria, Detangling the quantum tapestry of intrachannel interference in below-threshold nonsequential double ionization with few-cycle laser pulses, Phys. Rev. A 109, 063110 (2024).
  101. X. L. Hao, J. Chen, W. D. Li, B. Wang, X. Wang, and W. Becker, Quantum effects in double ionization of argon below the threshold intensity, Phys. Rev. Lett. 112, 073002 (2014).
  102. A. S. Maxwell and C. Figueira de Morisson Faria, Quantum interference in time-delayed nonsequential double ionization, Phys. Rev. A 92, 023421 (2015).
  103. A. S. Maxwell and C. Figueira de Morisson Faria, Controlling below-threshold nonsequential double ionization via quantum interference, Phys. Rev. Lett. 116, 143001 (2016).
  104. S. Hashim, D. Habibović, and C. Figueira de Morisson Faria, folllowing paper, Below-threshold nonsequential double ionization with linearly polarized two-color fields. II. Quantum interference, Phys. Rev. A 112, 023119 (2025).
  105. G. S. J. Armstrong, M. A. Khokhlova, M. Labeye, A. S. Maxwell, E. Pisanty, and M. Ruberti, Dialogue on analytical and ab initio methods in attoscience, Eur. Phys. J. D 75, 209 (2021).
  106. 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).
  107. X. Y. Lai, C. Poli, H. Schomerus, and C. Figueira de Morisson Faria, Influence of the Coulomb potential on above-threshold ionization: A quantum-orbit analysis beyond the strong-field approximation, Phys. Rev. A 92, 043407 (2015).
  108. A. S. Maxwell, A. Al-Jawahiry, T. Das, and C. Figueira de Morisson Faria, Coulomb-corrected quantum interference in above-threshold ionization: Working towards multi-trajectory electron holography, Phys. Rev. A 96, 023420 (2017).
  109. A. S. Maxwell and C. Figueira de Morisson Faria, Coulomb-free and Coulomb-distorted recolliding quantum orbits in photoelectron holography, J. Phys. B: At. Mol. Opt. Phys. 51, 124001 (2018).
  110. A. C. Bray, A. S. Maxwell, Y. Kissin, M. Ruberti, M. F. Ciappina, V. Averbukh, and C. Figueira de Morisson Faria, Polarization in strong-field ionization of excited helium, J. Phys. B: At. Mol. Opt. Phys. 54, 194002 (2021).
  111. T. Shaaran and C. Figueira de Morisson Faria, Laser-induced nonsequential double ionization: Kinematic constraints for the recollision-excitation-tunneling mechanism, J. Mod. Opt. 57, 984 (2010).
  112. C. Figueira de Morisson Faria and B. B. Augstein, Molecular high-order harmonic generation with more than one active orbital: Quantum interference effects, Phys. Rev. A 81, 043409 (2010).
  113. T. Shaaran, B. B. Augstein, and C. Figueira de Morisson Faria, Excitation two-center interference and the orbital geometry in laser-induced nonsequential double ionization of diatomic molecules, Phys. Rev. A 84, 013429 (2011).
  114. D. B. Milošević, A. S. Jašarević, D. Habibović, E. Hasović, A. Čerkić, and W. Becker, Asymptotic methods applied to integrals occurring in strong-laser-field processes, J. Phys. A: Math. Theor. 57, 393001 (2024).
  115. D. Habibović, W. Becker, and D. B. Milošević, Complete classification and additional saddle-point solutions for high-order above-threshold ionization induced by a strong laser field. II. Classical considerations, Phys. Rev. A 111, 053110 (2025).
  116. C. Figueira de Morisson Faria and W. Becker, Quantum-orbit analysis of nonsequential double ionization, Laser Phys. 13, 1196 (2003).
  117. C. Figueira de Morisson Faria, M. Dörr, W. Becker, and W. Sandner, Time-frequency analysis of two-color high-harmonic generation, Phys. Rev. A 60, 1377 (1999).
  118. S. V. Popruzhenko, Keldysh theory of strong field ionization: History, applications, difficulties and perspectives, J. Phys. B: At. Mol. Opt. Phys. 47, 204001 (2014).
  119. C. Figueira de Morisson Faria, H. Schomerus, and W. Becker, High-order above-threshold ionization: The uniform approximation and the effect of the binding potential, Phys. Rev. A 66, 043413 (2002).
  120. D. Bauer, D. B. Milošević, and W. Becker, Strong-field approximation for intense-laser–atom processes: The choice of gauge, Phys. Rev. A 72, 023415 (2005).
  121. M. Y. Ivanov, M. Spanner, and O. Smirnova, Anatomy of strong field ionization, J. Mod. Opt. 52, 165 (2005).
  122. O. Smirnova, M. Spanner, and M. Ivanov, Anatomy of strong field ionization ii: To dress or not to dress? J. Mod. Opt. 54, 1019 (2007).
  123. L. Torlina, J. Kaushal, and O. Smirnova, Time-resolving electron-core dynamics during strong-field ionization in circularly polarized fields, Phys. Rev. A 88, 053403 (2013).
  124. A. S. Maxwell, S. V. Popruzhenko, and C. Figueira de Morisson Faria, Treating branch cuts in quantum trajectory models for photoelectron holography, Phys. Rev. A 98, 063423 (2018).
  125. L. Cruz Rodriguez, T. Rook, B. B. Augstein, A. S. Maxwell, and C. Figueira de Morisson Faria, Forward and hybrid path-integral methods in photoelectron holography: Sub-barrier corrections, initial sampling, and momentum mapping, Phys. Rev. A 108, 033114 (2023).
  126. T. Rook, D. Habibović, L. C. Rodriguez, D. B. Milošević, and C. Figueira de Morisson Faria, Impact of the continuum coulomb interaction in quantum-orbit-based treatments of high-order above-threshold ionization, Phys. Rev. A 109, 033115 (2024).

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