| TOPICAL REVIEW — Ultrafast physics in atomic, molecular and optical systems |
Prev
Next
|
|
|
Measuring the Coulomb time shift in high-order harmonic generation |
| Shengjun Yue(岳生俊)1, Siqi Song(宋思琦)1, Ruofeng Zhong(钟若峰)1, Jiangkun Li(李江坤)1,2, Haiyuan Yu(于海元)1,†, and Hongchuan Du(杜洪川)1,‡ |
1 School of Nuclear Science and Technology, Lanzhou University, Lanzhou 730000, China;
2 Airborne Survey and Remote Sensing Center of Nuclear Industry, Shijiazhuang 050002, China |
|
|
|
|
Abstract High-order harmonic generation (HHG), a key nonlinear phenomenon in strong-field physics, enables ultrafast detection on the attosecond timescale. Quantifying ionization/recombination times is essential for trajectory-resolved high-harmonic spectroscopy and for benchmarking its temporal resolution. In this review, we summarize our recent studies [Phys. Rev. A 105 L041103 (2022), Phys. Rev. A 106 023117 (2022), Phys. Rev. A 107 063102 (2023), Phys. Rev. A 111 039902 (2025)] on the role of electron-core interactions in HHG. Employing the classical trajectory model, analytical R-matrix theory, and numerical solutions of time-dependent Schrödinger equations for helium, we reveal how Coulomb attraction induces subtle shifts in ionization and recombination times. Such effects emerge as observable signatures under orthogonally polarized bichromatic fields at high probe frequencies. Because of the direct experimental relevance of these findings, this review seeks to stimulate further experimental efforts to control and resolve electron dynamics in HHG. In the future, it will be of great interest to (i) refine retrieval methods by incorporating Coulomb corrections beyond the static-field approximation, and (ii) advance two-color detection techniques with the capability to reconstruct complete quantum trajectories in HHG.
|
Received: 16 August 2025
Revised: 28 October 2025
Accepted manuscript online: 30 October 2025
|
|
PACS:
|
32.80.Qk
|
(Coherent control of atomic interactions with photons)
|
| |
42.65.Ky
|
(Frequency conversion; harmonic generation, including higher-order harmonic generation)
|
| |
42.65.-k
|
(Nonlinear optics)
|
| |
42.65.Re
|
(Ultrafast processes; optical pulse generation and pulse compression)
|
|
| Fund: They also acknowledge funding from the National Natural Science Foundation of China (Grant Nos. 12204209 and 12274188), Natural Science Foundation of Gansu Province (Grant No. 23JRRA1090), Fundamental Research Funds for Central Universities (Grant No. lzujbky-2023-ey08), and Cultivation Project for Outstanding Young Teachers in Anhui Provincial Universities (Grant No. YQYB2025099). |
Corresponding Authors:
Haiyuan Yu, Hongchuan Du
E-mail: yuhy22@lzu.edu.cn;duhch@lzu.edu.cn
|
Cite this article:
Shengjun Yue(岳生俊), Siqi Song(宋思琦), Ruofeng Zhong(钟若峰), Jiangkun Li(李江坤), Haiyuan Yu(于海元), and Hongchuan Du(杜洪川) Measuring the Coulomb time shift in high-order harmonic generation 2026 Chin. Phys. B 35 043201
|
[1] Andreas V, Di W, Adrian J, Belen M, Christopher B, Chinmaya J, Everett L, Moungi B, Diega G and Ramesh R 2013 ACM Trans. Graphics 32 44
[2] Cocker T L, Peller D, Yu P, Repp J and Huber R 2016 Nature 539 263
[3] Peplow M 2017 Nature 544 408
[4] Roelcke C, Kastner L Z, Graml M, Biereder A, Wilhelm J, Repp J, Huber R and Gerasimenko Y A 2024 Nat. Photon. 18 595
[5] Corkum P B and Krausz F 2007 Nat. Phys. 3 381
[6] McPherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K and Rhodes C K 1987 J. Opt. Soc. Am. B 4 595
[7] Ferray M, L’Huillier A, Li X F, Lompre L A, Mainfray G and Manus C 1988 J. Phys. B: At. Mol. Opt. Phys. 21 L31
[8] Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P and DiMauro L F 2009 Nat. Phys. 5 335
[9] Camus N, Yakaboylu E, Fechner L, Klaiber M, Laux M, Mi Y, Hatsagortsyan K Z, Pfeifer T, Keitel C H and Moshammer R 2017 Phys. Rev. Lett. 119 023201
[10] Li W, Fan X, Pan S, Wenkai T, Xu S, Jiacan W, Zhigang Z, Jing Z, Xiaowei W and Zengxiu Z 2023 Chin. Phys. Lett. 40 114203
[11] Yongzhe M, Hongcheng N and Jian W 2024 Chin. Phys. B 33 013201
[12] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[13] Lewenstein M, Balcou P, Ivanov M Y, L’Huillier A and Corkum P B 1994 Phys. Rev. A 49 2117
[14] Salières P, Carré B, Déroff L L, Grasbon F, Paulus G G, Walther H, Kopold R, Becker W, Milošević D B, Sanpera A and Lewenstein M 2001 Science 292 902
[15] Kneller O, Azoury D, Federman Y, Krüger M, Uzan A J, Orenstein G, Bruner B D, Smirnova O, Patchkovskii S, Ivanov M and Dudovich N 2022 Nat. Photon. 16 304
[16] Babushkin I, Galán Á J, de Andrade J R C, Husakou A, Morales F, Kretschmar M, Nagy T, Vaičaitis V, Shi L, Zuber D, Bergé L, Skupin S, Nikolaeva I A, Panov N A, Shipilo D E, Kosareva O G, Pfeiffer A N, Demircan A, Vrakking M J J, Morgner U and Ivanov M 2022 Nat. Phys. 18 417
[17] Leeuwenburgh J, Cooper B, Averbukh V, Marangos J P and Ivanov M 2013 Phys. Rev. Lett. 111 123002
[18] Cooper B and Averbukh V 2013 Phys. Rev. Lett. 111 083004
[19] Lein M 2005 Phys. Rev. Lett. 94 053004
[20] Baker S, Robinson J S, Haworth C, Teng H, Smith R, Chirilă C C, Lein M, Tisch J and Marangos J P 2006 Science 312 424
[21] Lan P, Ruhmann M, He L, Zhai C, Wang F, Zhu X, Zhang Q, Zhou Y, Li M, Lein M and Lu P 2017 Phys. Rev. Lett. 119 033201
[22] Lakhotia H, Kim H Y, Zhan M, Hu S, Meng S and Goulielmakis E 2020 Nature 583 55
[23] Dudovich N, Smirnova O, Levesque J, Mairesse Y, Ivanov M Y, Villeneuve D M and Corkum P B 2006 Nat. Phys. 2 781
[24] Shafir D, Soifer H, Bruner B D, Dagan M, Mairesse Y, Patchkovskii S, Ivanov M Y, Smirnova O and Dudovich N 2012 Nature 485 343
[25] Zhao J and Lein M 2013 Phys. Rev. Lett. 111 043901
[26] Yue S, Xue S, Du H and Lein M 2022 Phys. Rev. A 105 L041103
[27] Yue S, Li Y, Xue S, Du H and Lein M 2022 Phys. Rev. A 106 023117
[28] Yue S, Liu J, Xue S, Du H and Lein M 2023 Phys. Rev. A 107 063102
[29] Yue S, Liu J, Xue S, Du H and Lein M 2025 Phys. Rev. A 111 039902
[30] Crank J and Nicolson P 1947 Proc. Cambridge Philos. Soc. 43 50
[31] Nurhuda M and Faisal F H M 1999 Phys. Rev. A 60 3125
[32] Ehrenfest P 1927 Zeitschrift für Physik 45 455
[33] Chirilă C C, Dreissigacker I, van der Zwan E V and Lein M 2010 Phys. Rev. A 81 033412
[34] Yue S, Brennecke S, Du H and Lein M 2020 Phys. Rev. A 101 053438
[35] Krausz F and Ivanov M 2009 Rev. Mod. Phys. 81 163
[36] Ivanov M Y, Spanner M and Smirnova O 2005 J. Mod. Opt. 52 165
[37] Shafir D, Mairesse Y, Villeneuve D M, Corkum P B and Dudovich N 2009 Nat. Phys. 5 412
[38] Torlina L and Smirnova O 2017 New J. Phys. 19 023012
[39] Le A T, Lucchese R R, Lee M T and Lin C D 2009 Phys. Rev. Lett. 102 203001
[40] van der Zwan E V and Lein M 2012 Phys. Rev. Lett. 108 043004
[41] Keldysh L V 1965 Sov. Phys. JETP 20 1307
[42] Torlina L and Smirnova O 2012 Phys. Rev. A 86 043408
[43] Ivanov M and Smirnova O 2011 Phys. Rev. Lett. 107 213605
[44] Eicke N, Brennecke S and Lein M 2020 Phys. Rev. Lett. 124 043202
[45] Watanabe S, Kondo K, Nabekawa Y, Sagisaka A and Kobayashi Y 1994 Phys. Rev. Lett. 73 2692
[46] Kroh T, Jin C, Krogen P, Keathley P D, Calendron A L, Siqueira J P, Liang H K, Falcão-Filho E L, Lin C D, Kärtner F X and Hong K H 2018 Opt. Express 26 16955
[47] Mitra S, Biswas S, Schötz J, Pisanty E, Förg B, Kavuri G A, Burger C, Okell W, Högner M, Pupeza I, Pervak V, Lewenstein M, Wnuk P and Kling M F 2020 J. Phys. B 53 134004
[48] Dudovich N, Smirnova O, Levesque J, Mairesse Y, Ivanov M Y, Villeneuve D and Corkum P B 2006 Nat. Phys. 2 781
[49] Brugnera L, Hoffmann D J, Siegel T, Frank F, Zaïr A, Tisch J W G and Marangos J P 2011 Phys. Rev. Lett. 107 153902
[50] Camper A, Ferré A, Blanchet V, Descamps D, Lin N, Petit S, Lucchese R, Salières P, Ruchon T and Mairesse Y 2023 Phys. Rev. Lett. 130 083201
[51] Qiao S, Li L, Cui H, Zeng S, Liang S, Lan P and Lu P 2025 Phys. Rev. A 111 053114
[52] Pedatzur O, Orenstein G, Serbinenko V, Soifer H, Bruner B D, Uzan A J, Brambila D S, Harvey A G, Torlina L, Morales F, Smirnova O and Dudovich N 2015 Nat. Phys. 11 815
[53] Shvetsov-Shilovski N I, Goreslavski S P, Popruzhenko S V and Becker W 2009 Laser Phys. 19 1550
[54] Goreslavski S P, Paulus G G, Popruzhenko S V and Shvetsov-Shilovski N I 2004 Phys. Rev. Lett. 93 233002
[55] Popruzhenko S V 2018 J. Phys. B: At. Mol. Opt. Phys. 51 144006 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
Altmetric
|
|
blogs
Facebook pages
Wikipedia page
Google+ users
|
Online attention
Altmetric calculates a score based on the online attention an article receives. Each coloured thread in the circle represents a different type of online attention. The number in the centre is the Altmetric score. Social media and mainstream news media are the main sources that calculate the score. Reference managers such as Mendeley are also tracked but do not contribute to the score. Older articles often score higher because they have had more time to get noticed. To account for this, Altmetric has included the context data for other articles of a similar age.
View more on Altmetrics
|
|
|
