A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra

doi:10.1088/1674-1056/ae07c0

中国物理B ›› 2025, Vol. 34 ›› Issue (11): 113201-113201.doi: 10.1088/1674-1056/ae07c0

A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra

Xu-Han Wang(王旭涵), Di Zhao(赵迪)†, and Peng-Bo Li(李蓬勃)

Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2025-07-22 修回日期:2025-09-02 接受日期:2025-09-17 发布日期:2025-11-06
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. W2411002 and 12375018).

A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra

Xu-Han Wang(王旭涵), Di Zhao(赵迪)†, and Peng-Bo Li(李蓬勃)

Shaanxi Province Key Laboratory of Quantum Information and Quantum Optoelectronic Devices, School of Physics, Xi'an Jiaotong University, Xi'an 710049, China

Received:2025-07-22 Revised:2025-09-02 Accepted:2025-09-17 Published:2025-11-06
Contact: Di Zhao E-mail:d.zhao@mail.xjtu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. W2411002 and 12375018).

摘要/Abstract

摘要： We introduce a time-dependent generalized Floquet (TDGF) approach to calculate attosecond transient absorption spectra of helium atoms subjected to the combination of an attosecond extreme ultraviolet (XUV) pulse and a delayed few-cycle infrared (IR) laser pulse. This TDGF approach provides a Floquet understanding of the laser-induced change of resonant absorption lineshape. It is analytically demonstrated that the phase shift of the time-dependent dipole moment that results in the lineshape changes consists of two components, the adiabatic laser-induced phase (LIP) due to the IR-induced Stark shifts of adiabatic Floquet states and the non-adiabatic phase correction due to the non-adiabatic IR-induced coupling between adiabatic Floquet states. Comparisons of the spectral lineshape calculated based on the TDGF approach with the results obtained with the LIP model [Phys. Rev. A 88 033409 (2013)] and the rotating-wave approximation (RWA) are presented for several typical cases, demonstrating that TDGF universally and accurately captures IR-induced lineshape changes. It is suggested that the LIP model works as long as the generalized adiabatic theorem [PRX Quantum 2 030302 (2021)] holds, and the RWA works when the higher-order IR-coupling effect in the formation of adiabatic Floquet states is neglectable.

关键词: attosecond transient absorption spectra, Floquet analysis, non-adiabatic phase correction

Abstract: We introduce a time-dependent generalized Floquet (TDGF) approach to calculate attosecond transient absorption spectra of helium atoms subjected to the combination of an attosecond extreme ultraviolet (XUV) pulse and a delayed few-cycle infrared (IR) laser pulse. This TDGF approach provides a Floquet understanding of the laser-induced change of resonant absorption lineshape. It is analytically demonstrated that the phase shift of the time-dependent dipole moment that results in the lineshape changes consists of two components, the adiabatic laser-induced phase (LIP) due to the IR-induced Stark shifts of adiabatic Floquet states and the non-adiabatic phase correction due to the non-adiabatic IR-induced coupling between adiabatic Floquet states. Comparisons of the spectral lineshape calculated based on the TDGF approach with the results obtained with the LIP model [Phys. Rev. A 88 033409 (2013)] and the rotating-wave approximation (RWA) are presented for several typical cases, demonstrating that TDGF universally and accurately captures IR-induced lineshape changes. It is suggested that the LIP model works as long as the generalized adiabatic theorem [PRX Quantum 2 030302 (2021)] holds, and the RWA works when the higher-order IR-coupling effect in the formation of adiabatic Floquet states is neglectable.

Key words: attosecond transient absorption spectra, Floquet analysis, non-adiabatic phase correction

中图分类号: (Line shapes, widths, and shifts)

32.70.Jz

42.50.Hz (Strong-field excitation of optical transitions in quantum systems; multiphoton processes; dynamic Stark shift)

Xu-Han Wang(王旭涵), Di Zhao(赵迪), and Peng-Bo Li(李蓬勃). A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra[J]. 中国物理B, 2025, 34(11): 113201-113201.

参考文献

[1] Goulielmakis E, Loh Z H, Wirth A, Santra R, Rohringer N, Yakovlev V S, Zherebtsov S, Pfeifer T, Azzeer A M, Kling M F, Leone S R and Krausz F 2010 Nature 466 739
[2] Chew A, Douguet N, Cariker C, Li J, Lindroth E, Ren X, Yin Y, Argenti L, Hill W T and Chang Z 2018 Phys. Rev. A 97 031407
[3] Cao W, Warrick E R, Neumark D M and Leone S R 2016 New J. Phys. 18 013041
[4] Wang X, Chini M, Cheng Y,Wu Y, Tong X M and Chang Z 2013 Phys. Rev. A 87 063413
[5] Kaldun A, Blättermann A, Stooß V, Donsa S, Wei H, Pazourek R, Nagele S, Ott C, Lin C D, Burgdörfer J and Pfeifer T 2016 Science 354 738
[6] Chini M, Zhao B, Wang H, Cheng Y, Hu S X and Chang Z 2012 Phys. Rev. Lett. 109 073601
[7] Chen S, Schafer K J and Gaarde M B 2012 Opt. Lett. 37 2211
[8] Holler M, Schapper F, Gallmann L and Keller U 2011 Phys. Rev. Lett. 106 123601
[9] Sabbar M, Timmers H, Chen Y J, Pymer A K, Loh Z H, Sayres S G, Pabst S, Santra R and Leone S R 2017 Nat. Phys. 13 472
[10] Ott C, Kaldun A, Raith P, Meyer K, Laux M, Evers J, Keitel C H, Greene C H and Pfeifer T 2013 Science 340 716
[11] Ott C, Kaldun A, Argenti L, Raith P, Meyer K, Laux M, Zhang Y, Blättermann A, Hagstotz S, Ding T, Heck R, Madronero J, Martín F, Pfeifer T 2014 Nature 516 374
[12] Bækhøj J E, Lévêque C and Madsen L B 2018 Phys. Rev. Lett. 121 023203
[13] Rørstad J J, Ravn N S W, Yue L and Madsen L B 2018 Phys. Rev. A 98 053401
[14] Warrick E R, Bækhøj J E, Cao W, Fidler A P, Jensen F, Madsen L B, Leone S R and Neumark D M 2017 Chem. Phys. Lett. 683 408
[15] Cheng Y, Chini M,Wang X, González-Castrillo A, Palacios A, Argenti L, Martín F and Chang Z 2016 Phys. Rev. A 94 023403
[16] Liao C T, Li X, Haxton D J, Rescigno T N, Lucchese R R, McCurdy C W and Sandhu A 2017 Phys. Rev. A 95 043427
[17] Bækhøj J E, Yue L, Madsen L B 2015 Phys. Rev. A 91 043408
[18] Garg M, Martin-Jimenez A, Pisarra M, Luo Y, Martín F and Kern K 2021 Nat. Photon. 16 196
[19] Golubev N V, Vaníček J and Kuleff A I 2021 Phys. Rev. Lett. 127 123001
[20] Shi X, Wu Y, Wang J, Kimberg V and Zhang S 2020 Phys. Rev. A 101 023401
[21] Schultze M, Ramasesha K, Pemmaraju C, Sato S, Whitmore D, Gandman A, Prell J S, Borja L J, Prendergast D, Yabana K, Neumark D M and Leone S R 2014 Science 346 1348
[22] Lucchini M, Sato S A, Ludwig A, Herrmann J, Volkov M, Kasmi L, Shinohara Y, Yabana K, Gallmann L and Keller U 2016 Science 353 916
[23] Moulet A, Bertrand J B, Klostermann T, Guggenmos A, Karpowicz N and Goulielmakis E 2017 Science 357 1134
[24] Seres E, Seres J, Serrat C and Namba S 2016 Phys. Rev. B 94 165125
[25] Hui D, Alqattan H, Yamada S, Pervak V, Yabana K and Hassan M Th 2021 Nat. Photon. 16 33
[26] Géneaux R, Kaplan C J, Yue L, Ross A D, Bækhøj J E, Kraus P M, Chang H T, Guggenmos A, Huang M Y, Zürch M, Schafer K J, Neumark D M, Gaarde M B and Leone S R 2020 Phys. Rev. Lett. 124 207401
[27] Liu Z, Wang F, Sheng X, Wang J, Jiang L and Wei Z 2021 Phys. Rev. B 104 064103
[28] Krausz F and Ivanov M 2009 Rev. Mod. Phys. 81 163
[29] Calegari F, Sansone G, Stagira S, Vozzi C and NIsoli M 2016 J. Phys. B 49 062001
[30] Bengtsson S, Larsen E W, Kroon D, Camp S, Miranda M, Arnold C L, L’Huillier A, Schafer K J, Gaarde M B, Rippe L, et al. 2017 Nat. Photonics 11 252
[31] Corkum P B and Krausz F 2007 Nat. Phys. 3 381
[32] Gallmann L, Cirelli C and Keller U 2012 Annu. Rev. Phys. Chem. 63 447
[33] Yuan G, Jiang S, Wang Z, Hua W, Yu C, Jin C and Lu R 2019 Struct. Dyn. 6 054102
[34] Rørstad J J, Bækhøj J E and Madsen L B 2017 Phys. Rev. A 96 013430
[35] Wu M, Chen S, Camp S, Schafer K J and Gaarde M B 2016 J. Phys. B 49 062003
[36] Reduzzi M, Hummert J, Dubrouil A, Calegari F, Nisoli F, Frassetto F, Poletto L, Chen S,Wu M, Gaarde M B, Schafer K and Sansone G 2015 Phys. Rev. A 92 033408
[37] Chini M, Wang X, Cheng Y, Wu Y, Zhao D, Telnov D A, Chu S I and Chang Z 2013 Sci. Rep. 3 1105
[38] Chen S, Wu M, Gaarde M B and Schafer K J 2013 Phys. Rev. A 88 033409
[39] Stooß V, Cavaletto S M, Donsa S, Blättermann A, Birk P, Keitel C H, B?rezinová I, Burgdörfer J, Ott C and Pfeifer T 2018 Phys. Rev. Lett. 121 173005
[40] Liu Z, Ott C, Cavaletto S M, Harman Z, Keitel C H and Pfeifer T 2014 New J. Phys. 16 093005
[41] Dodin A and Brumer P 2021 PRX Quantum 2 030302
[42] Gaarde M B, Buth C, Tate J L and Schafer K J 2011 Phys. Rev. A 83 013419
[43] Chen S, Bell M J, Beck A R, Mashiko H, Wu M, Pfeiffer A N, Gaarde M B, Neumark D M, Leone S R and Schafer K J 2012 Phys. Rev. A 86 063408
[44] Chu S I and Telnov D A 2004 Phys. Rep. 390 1
[45] Li P C, Laughlin C and Chu S I 2014 Phys. Rev. A 89 023431
[46] Chu X, Chu S I and Laughlin C 2001 Phys. Rev. A 64 013406
[47] Tong X M and Chu S I 1997 Chem. Phys. 217 119

A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra

A time-dependent generalized Floquet calculation of the laser-induced lineshape in attosecond transient absorption spectra

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