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  • Letter
  • Open Access

Analytically controlling the laser-induced electron phase in sub-cycle motion

Doan-An Trieu, Trong-Thanh D. Nguyen, Thanh-Duy D. Nguyen, Thanh Tran, Van-Hoang Le, and Ngoc-Loan Phan*

  • *Contact author: loanptn@hcmue.edu.vn
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Phys. Rev. A 110, L021101 – Published 26 August, 2024

DOI: https://doi.org/10.1103/PhysRevA.110.L021101

Abstract

We develop an approach to directly control the phase of an electron's sub-cycle motion in an intense laser field. The method is established by tuning a low-frequency electric field applied on a centrosymmetric gaseous target during its interaction with a few-cycle infrared laser pulse. We find a universal analytical relation between the low-frequency electric field and its induced harmonic frequency shift, derived by the strong-field approximation. This simple relation and its universality are confirmed numerically by directly solving the time-dependent Schrödinger equation. Moreover, we demonstrate the benefits of the discovered relation in in situ applications, including continuously and precisely tuning XUV waves and developing a method of comprehensively sampling the THz pulse.

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References (57)

  1. E. Frumker, N. Kajumba, J. B. Bertrand, H. J. Wörner, C. T. Hebeisen, P. Hockett, M. Spanner, S. Patchkovskii, G. G. Paulus, D. M. Villeneuve, A. Naumov, and P. B. Corkum, Phys. Rev. Lett. 109, 233904 (2012).
  2. T. T. Luu and H. J. Wörner, Phys. Rev. B 94, 115164 (2016).
  3. F. Langer, M. Hohenleutner, U. Huttner, S. W. Koch, M. Kira, and R. Huber, Nat. Photonics 11, 227 (2017).
  4. H. T. Nguyen, K.-N. H. Nguyen, N.-L. Phan, C.-T. Le, D. D. Vu, L.-P. Tran, and V.-H. Le, Phys. Rev. A 105, 023106 (2022).
  5. D. Shafir, Y. Mairesse, D. Villeneuve, P. Corkum, and N. Dudovich, Nat. Phys. 5, 412 (2009).
  6. K. T. Kim, D. Villeneuve, and P. Corkum, Nat. Photonics 8, 187 (2014).
  7. B.-Y. Li, J. Zhang, Y. Zhang, T.-M. Yan, and Y. H. Jiang, Phys. Rev. A 102, 063102 (2020).
  8. S. Li, Y. Tang, L. Ortmann, B. K. Talbert, C. I. Blaga, Y. H. Lai, Z. Wang, Y. Cheng, F. Yang, A. S. Landsman, P. Agostini, and L. F. DiMauro, Nat. Commun. 14, 2603 (2023).
  9. D.-A. Trieu, N.-L. Phan, Q.-H. Truong, H. T. Nguyen, C.-T. Le, D. D. Vu, and V.-H. Le, Phys. Rev. A 108, 023109 (2023).
  10. G. Vampa, T. Hammond, M. Taucer, X. Ding, X. Ropagnol, T. Ozaki, S. Delprat, M. Chaker, N. Thiré, B. Schmidt, F. Légaré, D. D. Klug, A. Y. Naumov, D. M. Villeneuve, A. Staudte, and P. B. Corkum, Nat. Photonics 12, 465 (2018).
  11. N. Dudovich, O. Smirnova, J. Levesque, Y. Mairesse, M. Y. Ivanov, D. Villeneuve, and P. B. Corkum, Nat. Phys. 2, 781 (2006).
  12. D. Shafir, H. Soifer, B. D. Bruner, M. Dagan, Y. Mairesse, S. Patchkovskii, M. Y. Ivanov, O. Smirnova, and N. Dudovich, Nature (London) 485, 343 (2012).
  13. L. He, S. Sun, P. Lan, Y. He, B. Wang, P. Wang, X. Zhu, L. Li, W. Cao, P. Lu, and C. D. Lin, Nat. Commun. 13, 4595 (2022).
  14. K.-N. H. Nguyen, N.-L. Phan, C.-T. Le, D. D. Vu, and V.-H. Le, Phys. Rev. A 106, 063108 (2022).
  15. D.-A. Trieu, V.-H. Le, and N.-L. Phan, arXiv:2406.08786.
  16. J. Zhou, J. Peatross, M. M. Murnane, H. C. Kapteyn, and I. P. Christov, Phys. Rev. Lett. 76, 752 (1996).
  17. M. Graml, M. Nitsch, A. Seith, F. Evers, and J. Wilhelm, Phys. Rev. B 107, 054305 (2023).
  18. X.-B. Bian and A. D. Bandrauk, Phys. Rev. Lett. 113, 193901 (2014).
  19. P. Lan, M. Ruhmann, L. He, C. Zhai, F. Wang, X. Zhu, Q. Zhang, Y. Zhou, M. Li, M. Lein, and P. Lu, Phys. Rev. Lett. 119, 033201 (2017).
  20. L. He, Q. Zhang, P. Lan, W. Cao, X. Zhu, C. Zhai, F. Wang, W. Shi, M. Li, X.-B. Bian, P. Lu, and A. D. Bandrauk, Nat. Commun. 9, 1108 (2018).
  21. L. He, P. Lan, A.-T. Le, B. Wang, B. Wang, X. Zhu, P. Lu, and C. D. Lin, Phys. Rev. Lett. 121, 163201 (2018).
  22. Y. S. You, M. Wu, Y. Yin, A. Chew, X. Ren, S. Gholam-Mirzaei, D. A. Browne, M. Chini, Z. Chang, K. J. Schafer, M. B. Gaarde, and S. Ghimire, Opt. Lett. 42, 1816 (2017).
  23. C. P. Schmid, L. Weigl, P. Grössing, V. Junk, C. Gorini, S. Schlauderer, S. Ito, M. Meierhofer, N. Hofmann, D. Afanasiev, J. Crewse, K. A. Kokh, O. E. Tereshchenko, J. Güdde, F. Evers, J. Wilhelm, K. Richter, U. Höfer, and R. Huber, Nature (London) 593, 385 (2021).
  24. A. Y. Naumov, D. M. Villeneuve, and H. Niikura, Phys. Rev. A 91, 063421 (2015).
  25. A. Mandal, J. M. Rost, T. Pfeifer, and K. P. Singh, Opt. Express 30, 45020 (2022).
  26. W. Zheng, Y. Jiang, S. Wang, C. Liu, Y. Bai, P. Liu, and R. Li, Opt. Express 31, 27029 (2023).
  27. O. Schubert, M. Hohenleutner, F. Langer, B. Urbanek, C. Lange, U. Huttner, D. Golde, T. Meier, M. Kira, S. W. Koch, and R. Huber, Nat. Photonics 8, 119 (2014).
  28. L. Li, P. Lan, L. He, W. Cao, Q. Zhang, and P. Lu, Phys. Rev. Lett. 124, 157403 (2020).
  29. P. B. Corkum, Phys. Rev. Lett. 71, 1994 (1993).
  30. M. Lewenstein, P. Balcou, M. Y. Ivanov, A. L'Huillier, and P. B. Corkum, Phys. Rev. A 49, 2117 (1994).
  31. M.-Q. Bao and A. F. Starace, Phys. Rev. A 53, R3723 (1996).
  32. B. Wang, X. Li, and P. Fu, J. Phys. B 31, 1961 (1998).
  33. W. Hong, P. Lu, W. Cao, P. Lan, and X. Wang, J. Phys. B 40, 2321 (2007).
  34. See Supplemental Material at http://link.aps.org/supplemental/10.1103/PhysRevA.110.L021101 for analytically deriving a SEF-induced phase distortion, evidence for the independence of dimensional reduction, evidence for the universality of the SEF-induced frequency shift, and working ranges for parameters of a low-frequency electric field.
  35. M. A. Marques, A. Castro, G. F. Bertsch, and A. Rubio, Comput. Phys. Commun. 151, 60 (2003).
  36. A. D. Bandrauk and H. Shen, Chem. Phys. Lett. 176, 428 (1991).
  37. S. Majorosi, M. G. Benedict, and A. Czirják, Phys. Rev. A 98, 023401 (2018).
  38. X. Zhu, X. Liu, Y. Li, M. Qin, Q. Zhang, P. Lan, and P. Lu, Phys. Rev. A 91, 043418 (2015).
  39. C. Haworth, L. Chipperfield, J. Robinson, P. Knight, J. Marangos, and J. Tisch, Nat. Phys. 3, 52 (2007).
  40. E. A. Gibson, A. Paul, N. Wagner, R. Tobey, S. Backus, I. P. Christov, M. M. Murnane, and H. C. Kapteyn, Phys. Rev. Lett. 92, 033001 (2004).
  41. A. S. Alnaser, X. M. Tong, T. Osipov, S. Voss, C. M. Maharjan, B. Shan, Z. Chang, and C. L. Cocke, Phys. Rev. A 70, 023413 (2004).
  42. C. Smeenk, J. Salvail, L. Arissian, P. Corkum, C. Hebeisen, and A. Staudte, Opt. Express 19, 9336 (2011).
  43. M. G. Pullen, W. C. Wallace, D. E. Laban, A. J. Palmer, G. F. Hanne, A. N. Grum-Grzhimailo, K. Bartschat, I. Ivanov, A. Kheifets, D. Wells, H. M. Quiney, X. M. Tong, I. V. Litvinyuk, R. T. Sang, and D. Kielpinski, Phys. Rev. A 87, 053411 (2013).
  44. C. Wang, X. Li, X.-R. Xiao, Y. Yang, S. Luo, X. Yu, X. Xu, L.-Y. Peng, Q. Gong, and D. Ding, Phys. Rev. Lett. 122, 013203 (2019).
  45. M. Wünsche, S. Fuchs, T. Weber, J. Nathanael, J. J. Abel, J. Reinhard, F. Wiesner, U. Hübner, S. J. Skruszewicz, G. G. Paulus, and C. Rödel, Rev. Sci. Instrum. 90, 023108 (2019).
  46. B. Borca, A. V. Flegel, M. V. Frolov, N. L. Manakov, D. B. Milošević, and A. F. Starace, Phys. Rev. Lett. 85, 732 (2000).
  47. V. D. Taranukhin and N. Y. Shubin, J. Opt. Soc. Am. B 17, 1509 (2000).
  48. S. Odžak and D. B. Milošević, Phys. Rev. A 72, 033407 (2005).
  49. W. Hong, P. Lu, P. Lan, Q. Zhang, and X. Wang, Opt. Express 17, 5139 (2009).
  50. M. Shalaby and C. P. Hauri, Nat. Commun. 6, 5976 (2015).
  51. M. Shalaby, C. Vicario, K. Thirupugalmani, S. Brahadeeswaran, and C. P. Hauri, Opt. Lett. 41, 1777 (2016).
  52. X. C. Zhang, A. Shkurinov, and Y. Zhang, Nat. Photonics 11, 16 (2017).
  53. Y. Zhang, K. Li, and H. Zhao, Front. Optoelectron. 14, 4 (2021).
  54. M. Uiberacker, T. Uphues, M. Schultze, A. J. Verhoef, V. Yakovlev, M. F. Kling, J. Rauschenberger, N. M. Kabachnik, H. Schröder, M. Lezius, K. L. Kompa, H.-G. Muller, M. J. J. Vrakking, S. Hendel, U. Kleineberg, U. Heinzmann, M. Drescher, and F. Krausz, Nature (London) 446, 627 (2007).
  55. P. Tzallas, E. Skantzakis, L. Nikolopoulos, G. D. Tsakiris, and D. Charalambidis, Nat. Phys. 7, 781 (2011).
  56. E. J. Sie, T. Rohwer, C. Lee, and N. Gedik, Nat. Commun. 10, 3535 (2019).
  57. D. Fabris, T. Witting, W. Okell, D. Walke, P. Matia-Hernando, J. Henkel, T. Barillot, M. Lein, J. Marangos, and J. Tisch, Nat. Photonics 9, 383 (2015).

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Phys. Rev. A 110, L021101– Published 26 August, 2024
  • Received 22 May 2024
  • Accepted 14 August 2024
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.

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