Intensity-dependent recollision dynamics in strong-field nonsequential double ionization

Huang Cheng; Zhong Ming-Min; Wu Zheng-Mao

doi:10.7498/aps.68.20181811

Abstract

Using the three-dimensional classical ensemble model, we systematically investigate the strong-field nonsequential double ionization (NSDI) of He atom by intense linearly polarized laser pulses at different intensities for 750 nm and 1500 nm in wavelength. In the intensity range of 0.4−0.8 PW/cm² considered in this work, for 750 nm wavelength the correlated electron pairs are always distributed mainly near the diagonal but for 1500 nm wavelength, with increasing laser intensity the population of electron pairs moves from the diagonal to the two axes, forming a near-axis V-shaped structure at 0.8 PW/cm². The analysis indicates that for 750 nm with increasing laser intensity the contribution from the single-return events to NSDI decreases sharply and the contribution from the multiple-return events increases. For 1500 nm wavelength when the laser intensity increases, the contributions from one-, two- and three-return trajectories decrease and the contributions of other trajectories increase. It is because most of ionized electrons have a non-zero initial transverse momentum. After the excursion of the ionized electron, when it returns to the parent ion at the first time there is a distance in the transverse direction between the free electron and the parent ion, which hinders the recollision and NSDI from occurring. The transverse deviation can be significantly reduced by the Coulomb attraction from the parent ion to the free electron when it returns back to the parent ion in the longitudinal direction. Higher intensity results in larger returning velocity for the free electron. The free electron faster passes by the parent ion and the Coulomb attraction has less time to pull the free electron to the parent ion. For each return the compensation of the Coulomb attraction for the transverse deviation for high intensity is weaker than for low intensity. Thus for higher intensities more returns are required to compensate for the transverse deviation. Moreover, numerical results show the recollision distance in NSDI is smaller for the longer wavelength and higher intensity. It is attributed to the larger returning velocity of the free electron at the longer wavelength and higher intensity, which can more easily overcome the strong Coulomb repulsion between the two electrons and achieve a smaller recollision distance. Finally, electron correlation behaviors for those trajectories where recollision occurs with different return times are studied.

Keywords:

Authors and contacts

School of Physical Science and Technology, Southwest University, Chongqing 400715, China

Corresponding author: Huang Cheng, huangcheng@swu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11504302, 61178011, 61475127, 61475132).

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References

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[42]	Xu T, Zhu Q, Chen J, Ben S, Zhang J, Liu X 2018 Opt. Express 26 1645 Google Scholar
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[44]	Wolter B, Pullen M G, Baudisch M, Sclafani M, Hemmer M, Senftleben A, Schrter C D, Ullrich J 2015 Phys. Rev. X 5 021034 Google Scholar
[45]	Huang C, Zhong M, Wu Z 2016 Opt. Express 24 28361 Google Scholar
[46]	Li Y, Wang X, Yu B, Tang B, Wang G, Wan J 2016 Sci. Rep. 6 37413 Google Scholar
[47]	Chen J, Nam C H 2002 Phys. Rev. A 66 053415 Google Scholar
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[51]	Huang C, Zhong M, Wu Z 2018 Sci. Rep. 8 8772 Google Scholar

Cited By

图 1 He原子NSDI的关联电子动量分布　(a) 750 nm, 0.4 PW/cm²; (b) 750 nm, 0.6 PW/cm²; (c) 750 nm, 0.8 PW/cm²; (d) 1500 nm, 0.4 PW/cm²; (e) 1500 nm, 0.6 PW/cm²; (f) 1500 nm, 0.8 PW/cm²

Figure 1. Correlated electron momentum distributions in NSDI of He: (a) 750 nm, 0.4 PW/cm²; (b) 750 nm, 0.6 PW/cm²; (c) 750 nm, 0.8 PW/cm²; (d) 1500 nm, 0.4 PW/cm²; (e) 1500 nm, 0.6 PW/cm²; (f) 1500 nm, 0.8 PW/cm².

DownLoad: Full-Size Img PowerPoint

图 2 各次返回诱导的NSDI在总的NSDI中所占的百分比　(a) 750 nm; (b) 1500 nm

Figure 2. Proportion of each return in the total NSDI yield: (a) 750 nm; (b) 1500 nm.

DownLoad: Full-Size Img PowerPoint

图 3 NSDI事件关于碰撞距离的概率分布　(a) 750 nm; (b) 1500 nm.

Figure 3. Recollison distance in NSDI for (a) 750 nm and (b) 1500 nm at the laser intensities of 0.4, 0.6 and 0.8 PW/cm².

DownLoad: Full-Size Img PowerPoint

图 4 750 nm 激光脉冲驱动He原子NSDI的关联电子动量分布　(a)—(e) 0.4 PW/cm²; (f)—(j) 0.6 PW/cm²; (k)—(o) 0.8 PW/cm²; 从左到右每列对应不同返回次数诱导的NSDI事件

Figure 4. Correlated electron momentum distributions in NSDI of He for 750 nm at the laser intensities of 0.4 (the first row), 0.6 (the second row) and 0.8 PW/cm² (the third row). The columns from left to right correspond to return numbers of 1 to 5.

DownLoad: Full-Size Img PowerPoint

图 5 1500 nm 激光脉冲驱动He原子NSDI的关联电子动量分布　(a)—(e) 0.4 PW/cm²; (f)—(j) 0.6 PW/cm²; (k)—(o) 0.8 PW/cm²; 从左到右每列对应不同返回次数诱导的NSDI事件

Figure 5. Correlated electron momentum distributions in NSDI of He for 1500 nm at the laser intensities of 0.4 (the first row), 0.6 (the second row) and 0.8 PW/cm² (the third row). The columns from left to right correspond to return numbers of 1 to 5.

DownLoad: Full-Size Img PowerPoint

[1]	L'Huillier A, Lompre L A, Mainfray G, Manus C 1983 Phys. Rev. A 27 2503 Google Scholar
[2]	Figueira de Morisson Faria C, Liu X 2011 J. Mod. Opt. 58 1076 Google Scholar
[3]	Becker W, Liu X, Jo Ho P, Eberly J H 2012 Rev. Mod. Phys. 84 1011 Google Scholar
[4]	Weber Th, Giessen H, Weckenbrock M, Urbasch G, Staudte A, Spielberger L, Jagutzki O, Mergel V, Vollmer M, Dörner R 2000 Nature 405 658 Google Scholar
[5]	Corkum P B 1993 Phys. Rev. Lett. 71 1994 Google Scholar
[6]	Feuerstein B, Moshammer R, Fischer D, Dorn A, Schröter C D, Deipenwisch J, Crespo Lopez-Urrutia J R, Höhr C, Neumayer P, Ullrich J, Rottke H, Trump C, Wittmann M, Korn G, Sandner W 2001 Phys. Rev. Lett. 87 043003 Google Scholar
[7]	Lein M, Gross E K U, Engel V 2000 Phys. Rev. Lett. 85 4707 Google Scholar
[8]	Parker J S, Doherty B J S, Taylor K T, Schultz K D, Blaga C I, DiMauro L F 2006 Phys. Rev. Lett. 96 133001 Google Scholar
[9]	Wang X, Eberly J H 2010 Phys. Rev. Lett. 105 083001 Google Scholar
[10]	Hao X L, Chen J, Li W D, Wang B B, Wang X D, Becker W 2014 Phys. Rev. Lett. 112 073002 Google Scholar
[11]	Liu Y, Fu L, Ye D, Liu J, Li M, Wu C, Gong Q, Moshammer R, Ullrich J 2014 Phys. Rev. Lett. 112 013003 Google Scholar
[12]	Chen Y, Zhou Y, Li Y, Li M, Lan P, Lu P 2018 Phys. Rev. A 97 013428 Google Scholar
[13]	Wang Y, Xu S, Quan W, Gong C, Lai X, Hu S, Liu M, Chen J, Liu X 2016 Phys. Rev. A 94 053412 Google Scholar
[14]	Ye D, Li M, Fu L, Liu J, Gong Q, Liu Y, Ullrich J 2015 Phys. Rev. Lett. 115 123001 Google Scholar
[15]	Liu Y, Tschuch S, Rudenko A, Dürr M, Siegel M, Morgner U, Moshammer R, Ullrich J 2008 Phys. Rev. Lett. 101 053001 Google Scholar
[16]	Staudte A, Ruiz C, Schöffler M, Schössler S, Zeidler D, Weber Th, Meckel M, Villeneuve D M, Corkum P B, Becker A, Dörner R 2007 Phys. Rev. Lett. 99 263002 Google Scholar
[17]	Rudenko A, Jesus V L B, Ergler Th, Zrost K, Feuerstein B, Schröter C D, Moshammer R, Ullrich J 2007 Phys. Rev. Lett. 99 263003 Google Scholar
[18]	Chen Z J, Liang Y, Lin C D 2010 Phys. Rev. Lett. 104 253201 Google Scholar
[19]	Ye D F, Liu X J, Liu J 2008 Phys. Rev. Lett. 101 233003 Google Scholar
[20]	Zhou Y M, Liao Q, Lu P X 2010 Phys. Rev. A 82 053402 Google Scholar
[21]	Camus N, Fischer B, Kremer M, Sharma V, Rudenko A, Bergues B, Kubel M, Johnson N G, Kling M F, Pfeifer T, Ullrich J, Moshammer R 2012 Phys. Rev. Lett. 108 073003 Google Scholar
[22]	Huang C, Zhong M, Wu Z 2016 J. Chem. Phys. 145 044302 Google Scholar
[23]	Liao Q, Winney A H, Lee S K, Lin Y F, Adhikari P, Li W 2017 Phys. Rev. A 96 023401 Google Scholar
[24]	Bergues B, Kubel M, Johnson N G, Fischer B, Camus N, Betsch K J, Herrwerth O, Senftleben A, Sayler A M, Rathje T, Pfeifer T, Ben-Itzhak I, Jones R R, Paulus G G, Krausz F, Moshammer R, Ullrich J, Kling M F 2012 Nature Commun. 3 813 Google Scholar
[25]	Liao Q, Lu P X 2010 Phys. Rev. A 82 021403(R)Google Scholar
[26]	Gong X, Song Q, Ji Q, Lin K, Pan H, Ding J, Zeng H, Wu J 2015 Phys. Rev. Lett. 114 163001 Google Scholar
[27]	Liu K, Qin M, Li Q, Liao Q 2018 Opt. Quantum Electron. 50 364 Google Scholar
[28]	Liao Q, Li Y, Qin M, Lu P 2017 Phys. Rev. A 96 063408 Google Scholar
[29]	Winney A H, Lee S K, Lin Y F, Liao Q, Adhikari P, Basnayake G, Schlegel H B, Li W 2017 Phys. Rev. Lett. 119 123201 Google Scholar
[30]	He M, Li Y, Zhou Y, Li M, Cao W, Lu P 2018 Phys. Rev. Lett. 120 133204 Google Scholar
[31]	Liu X, Rottke H, Eremina E, Sandner W, Goulielmakis E, Keeffe K O, Lezius M, Krausz F, Lindner F, Schatzel M G, Paulus G G, Walther H 2004 Phys. Rev. Lett. 93 263001 Google Scholar
[32]	He L, Zhang Q, Lan P, Cao W, Zhu X, Zhai C, Wang F, Shi W, Li M, Bian X, Lu P, Bandrauk A D 2018 Nat. Commun. 9 1108 Google Scholar
[33]	汤清彬, 张东玲, 余本海, 陈东 2010 物理学报 59 7775 Google Scholar Tang Q B, Zhang D L, Yu B H, Chen D 2010 Acta Phys. Sin. 59 7775 Google Scholar
[34]	黄诚, 钟明敏, 吴正茂 2016 物理学报 65 083301 Google Scholar Huang C, Zhong M, Wu Z 2016 Acta Phys. Sin. 65 083301 Google Scholar
[35]	Li H Y, Chen J, Jiang H B, Liu J, Fu P M, Gong Q H, Yan Z C, Wang B B 2009 J. Phys. B 42 125601 Google Scholar
[36]	Wang J, He F 2018 Phys. Rev. A 97 043411 Google Scholar
[37]	Ma X, Zhou Y, Li N, Li M, Lu P 2018 Opt. Laser Technol. 108 235 Google Scholar
[38]	Zhou Y, Huang C, Tong A, Liao Q, Lu P 2011 Opt. Express 19 2301 Google Scholar
[39]	Zhang L, Xie X H, Roither S, Zhou Y M, Lu P X, Kartashov D, Schoffler M, Shafir D, Corkum P B, Baltuska A, Staudte A, Kitzler M 2014 Phys. Rev. Lett. 112 193002 Google Scholar
[40]	童爱红, 冯国强, 邓永菊 2012 物理学报 61 093303 Google Scholar Tong A H, Feng G Q, Deng Y J 2012 Acta Phys. Sin. 61 093303 Google Scholar
[41]	Chaloupka J L, Hickstein D D 2016 Phys. Rev. Lett. 116 143005 Google Scholar
[42]	Xu T, Zhu Q, Chen J, Ben S, Zhang J, Liu X 2018 Opt. Express 26 1645 Google Scholar
[43]	Huang C, Zhong M, Wu Z 2018 Opt. Express 26 26045 Google Scholar
[44]	Wolter B, Pullen M G, Baudisch M, Sclafani M, Hemmer M, Senftleben A, Schrter C D, Ullrich J 2015 Phys. Rev. X 5 021034 Google Scholar
[45]	Huang C, Zhong M, Wu Z 2016 Opt. Express 24 28361 Google Scholar
[46]	Li Y, Wang X, Yu B, Tang B, Wang G, Wan J 2016 Sci. Rep. 6 37413 Google Scholar
[47]	Chen J, Nam C H 2002 Phys. Rev. A 66 053415 Google Scholar
[48]	Panli R, Eberly J H, Haan S L 2001 Opt. Express 8 431 Google Scholar
[49]	Haan S L, Breen L, Karim A, Eberly J H 2006 Phys. Rev. Lett. 97 103008 Google Scholar
[50]	Dong S S, Zhang Z L, Bai L H, Zhang J T 2015 Phys. Rev. A 92 033409 Google Scholar
[51]	Huang C, Zhong M, Wu Z 2018 Sci. Rep. 8 8772 Google Scholar

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