Abstract

With the semiclassical ensemble model, we systematically investigate the correlated electron dynamics in strong-field nonsequential double ionization (NSDI) by the counter-rotating circularly polarized two-color (CPTC) laser pulses. Our results show that the angular distributions of the electrons in NSDI sensitively depend on the intensity ratio of the CPTC laser fields. At the small ratio, the electron pairs emit with a relative angle of about 120°, and this angle shifts to 40° as the ratio increases and finally it exhibits a wide range distribution as the intensity ratio further increases. Back analysis of the NSDI trajectories shows that this behavior results from the relative-intensity-dependence of the release time of the electron pairs in the CPTC laser fields. The release times of the electron pairs are directly mapped to the angular distribution. Our results indicate that the emission times of the correlated electrons in NSDI can be controlled with the CPTC laser fields.

© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2018 (9)

M. He, Y. Li, Y. Zhou, M. Li, W. Cao, and P. Lu, “Direct visualization of valence electron motion using strong-field photoelectron holography,” Phys. Rev. Lett. 120(13), 133204 (2018).
[Crossref] [PubMed]

J. Tan, Y. Zhou, M. He, Y. Chen, Q. Ke, J. Liang, X. Zhu, M. Li, and P. Lu, “Determination of the ionization time using attosecond photoelectron interferometry,” Phys. Rev. Lett. 121(25), 253203 (2018).
[Crossref]

D. B. Milošević, “Control of the helicity of high-order harmonics generated by bicircular laser fields,” Phys. Rev. A 98(3), 033405 (2018).
[Crossref]

J. Tan, Yang Li, Y. Zhou, M. He, Y. Chen, M. Li, Lu, and P., “Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization,” Opt. Quant. Electron. 50(2), 57 (2018).
[Crossref]

X. Ma, Y. Zhou, N. Li, M. Li, and P. Lu, “Attosecond control of correlated electron dynamics in strong-field nonsequential double ionization by parallel two-color pulses,” Optics & Laser Technology 108, 235–240 (2018).
[Crossref]

A. Gazibegović-Busuladžić, W. Becker, and D. B. Milošević, “Helicity asymmetry in strong-field ionization of atoms by a bicircular laser field,” Opt. Express 26(10), 12684–12697 (2018).
[Crossref]

S. Luo, X. Ma, H. Xie, M. Li, Y. Zhou, W. Cao, and P. Lu, “Controlling nonsequential double ionization of Ne with parallel-polarized two-color laser pulses,” Opt. Express 26(10), 13666–13676 (2018).
[Crossref] [PubMed]

C. Huang, M. Zhong, and Z. Wu, “Intensity-dependent two-electron emission dynamics in nonsequential double ionization by counter-rotating two-color circularly polarized laser fields,” Opt. Express 26(20), 26045–26056 (2018).
[Crossref] [PubMed]

H. Kang, Y. Zhou, and P. Lu, “Steering electron correlation time by elliptically polarized femtosecond laser pulses,” Opt. Express 26(25), 33400–33408 (2018).
[Crossref]

2017 (6)

N. Li, Y. Zhou, X. Ma, M. Li, C. Huang, and P. Lu, “Correlated electron dynamics in strong-field nonsequential double ionization of Mg,” J. Chem. Phys. 147(17), 174302 (2017).
[Crossref] [PubMed]

K. Lin, X. Jia, Z. Yu, F. He, J. Ma, H. Li, X. Gong, Q. Song, Q. Ji, W. Zhang, H. Li, P. Lu, H. Zeng, J. Chen, and J. Wu, “Comparison Study of Strong-Field Ionization of Molecules and Atoms by Bicircular Two-Color Femtosecond Laser Pulses,” Phys. Rev. Lett. 119(20), 203202 (2017).
[Crossref] [PubMed]

S. Ben, P. Y. Guo, X. F. Pan, T. T. Xu, K. L. Song, and X. S. Liu, “Recollision induced excitation-ionization with counter-rotating two-color circularly polarized laser field,” Chem. Phys. Lett. 679, 38–44 (2017).
[Crossref]

Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
[Crossref]

Q. Li, Y. Zhou, and P. Lu, “Universal time delay in the recollision impact ionization pathway of strong-field nonsequential double ionization,” J. Phys. B: At. Mol. Opt. Phys. 50(22), 225601 (2017).
[Crossref]

A. H. Winney, S. K. Lee, Y. F. Lin, Q. Liao, P. Adhikari, G. Basnayake, H. B. Schlegel, and W. Li, “Attosecond Electron Correlation Dynamics in Double Ionization of Benzene Probed with Two-Electron Angular Streaking,” Phys. Rev. Lett. 119(12), 123201 (2017).
[Crossref]

2016 (7)

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. 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(5), 053406 (2016).
[Crossref]

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. Ph. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential Double Ionization by Counterrotating Circularly Polarized Two-Color Laser Fields,” Phys. Rev. Lett. 117(13), 133202 (2016).
[Crossref] [PubMed]

Y. Chen, Y. Zhou, Y. Li, M. Li, P. Lan, and P. Lu, “The contribution of the delayed ionization in strong-field nonsequential double ionization,” J. Chem. Phys. 144(2), 024304 (2016).
[Crossref] [PubMed]

Y. Zhou, O. I. Tolstikhin, and T. Morishita, “Near-forward rescattering photoelectron holography in strong-field ionization: extraction of the phase of the scattering amplitude,” Phys. Rev. Lett. 116(17), 173001 (2016).
[Crossref] [PubMed]

X. Ma, Y. Zhou, and P. Lu, “Multiple recollisions in strong-field nonsequential double ionization,” Phys. Rev. A 93(1), 013425 (2016).
[Crossref]

J. L. Chaloupka and D. D. Hickstein, “Dynamics of Strong-Field Double Ionization in Two-Color Counterrotating Fields,” Phys. Rev. Lett. 116(14), 143005 (2016).
[Crossref] [PubMed]

C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling Nonsequential Double Ionization in Two-Color CircularlyPolarized Femtosecond Laser Fields,” Phys. Rev. Lett. 117(13), 133201 (2016).
[Crossref] [PubMed]

2015 (3)

T. Fan, P. Grychtol, R. Knut, C. Hernández-García, D. D. Hickstein, D. Zusin, C. Gentry, F. J. Dollar, C. A. Mancuso, C. W. Hogle, O. Kfir, D. Legut, K. Carva, J. L. Ellis, K. M. Dorney, C. Chen, O. G. Shpyrko, E. E. Fullerton, O. Cohen, P. M. Oppeneer, D. B. Milošević, A. Becker, A. A. Jaroń-Becker, T. Popmintchev, M. M. Murnane, and H. C. Kapteyn, “Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism,” Proc. Natl. Acad. Sci. U.S.A. 112(46), 14206–14211 (2015).
[Crossref] [PubMed]

O. Kfir, P. Grychtol, E. Turgut, R. Knut, D. Zusin, D. Popmintchev, T. Popmintchev, H. Nembach, J. M. Shaw, A. Fleischer, H. Kapteyn, M. Murnane, and O. Cohen, “Generation of bright phase-matched circularly-polarized extreme ultraviolet high harmonics,”Nat. Photonics 9(2), 99–105 (2015).
[Crossref]

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(6), 503–508 (2015).
[Crossref]

2014 (3)

M. Kübel, K. J. Betsch, N. G. Kling, A. S. Alnaser, J. Schmidt, U. Kleineberg, Y. Deng, I. Ben-Itzhak, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Non-sequential double ionization of Ar: from the single- to the many-cycle regime,” New J. Phys. 16(3), 033008 (2014).
[Crossref]

Y. Liu, L. Fu, D. Ye, J. Liu, M. Li, C. Wu, Q. Gong, R. Moshammer, and J. Ullrich, “Strong-Field Double Ionization through Sequential Release from Double Excitation with Subsequent Coulomb Scattering,” Phys. Rev. Lett. 112(1), 013003 (2014).
[Crossref] [PubMed]

A. Fleischer, O. Kfir, T. Diskin, P. Sidorenko, and O. Cohen, “Spin angular momentum and tunable polarization in high-harmonic generation,” Nat. Photonics 8(7), 543–549 (2014).
[Crossref]

2013 (2)

S. Hu, “Boosting Photoabsorption by Attosecond Control of Electron Correlation,” Phys. Rev. Lett. 111(12), 123003 (2013).
[Crossref] [PubMed]

X. Wang, J. Tian, and J. H. Eberly, “Angular Correlation in Strong-Field Double Ionization under Circular Polarization,” Phys. Rev. Lett. 110(7), 073001 (2013).
[Crossref] [PubMed]

2012 (3)

Y. Zhou, C. Huang, Q. Liao, and P. Lu, “Classical Simulations Including Electron Correlations for Sequential Double Ionization,” Phys. Rev. Lett. 109(5), 053004 (2012).
[Crossref] [PubMed]

N. Camus, B. Fischer, M. Kremer, V. Sharma, A. Rudenko, B. Bergues, M. Kübel, N. G. Johnson, M. F. Kling, T. Pfeifer, J. Ullrich, and R. Moshammer, “Attosecond correlated dynamics of two electrons passing through a transition state,” Phys. Rev. Lett. 108(7), 073003 (2012).
[Crossref] [PubMed]

L. Fu, G. Xin, D. Ye, and J. Liu, “Recollision Dynamics and Phase Diagram for Nonsequential Double Ionization with Circularly Polarized Laser Fields,” Phys. Rev. Lett. 108(10), 103601 (2012).
[Crossref] [PubMed]

2011 (3)

Y. Zhou, C. Huang, A. Tong, Q. Liao, and P. Lu, “Correlated electron dynamics in nonsequential double ionization by orthogonal two-color laser pulses,” Opt. Express 19(3), 2301–2308 (2011).
[Crossref] [PubMed]

Y. Zhou, C. Huang, and P. Lu, “Coulomb-tail effect of electron-electron interaction on nonsequential double ionization,” Phys. Rev. A 84(2), 023405 (2011).
[Crossref]

A. N. Pfeiffer, C. Cirelli, M. Smolarski, R. Dörner, and U. Keller, “Timing the release in sequential double ionization,” Nat. Phys. 7(5), 428–433 (2011).
[Crossref]

2010 (2)

F. Mauger, C. Chandre, and T. Uzer, “Recollisions and Correlated Double Ionization with Circularly Polarized Light,” Phys. Rev. Lett. 105(8), 083002 (2010).
[Crossref] [PubMed]

Y. Zhou, Q. Liao, and P. Lu, “Asymmetric electron energy sharing in strong-field double ionization of helium,” Phys. Rev. A 82(5), 053402 (2010).
[Crossref]

2008 (2)

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(5907), 1525–1529 (2008).
[Crossref] [PubMed]

D. Ye, X. Liu, and J. Liu, “Classical Trajectory Diagnosis of a Fingerlike Pattern in the Correlated Electron Momentum Distribution in Strong Field Double Ionization of Helium,” Phys. Rev. Lett. 101(23), 233003 (2008).
[Crossref] [PubMed]

2007 (1)

A. Staudte, C. Ruiz, M. Schöffler, S. Schössler, D. Zeidler, Th. Weber, M. Meckel, D. M. Villeneuve, P. B. Corkum, A. Becker, and R. Dörner, “Binary and Recoil Collisions in Strong Field Double Ionization of Helium,” Phys. Rev. Lett. 99(26), 263002 (2007).
[Crossref]

2006 (2)

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(13), 133002 (2006).
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P. Kaminski, R. Wiehle, W. Kamke, H. Helm, and B. Witzel, “Wavelength dependence of double ionization of xenon in a strong laser field,” Phys. Rev. A 73(1), 013413 (2006).
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2004 (6)

E. Eremina, X. Liu, H. Rottke, W. Sandner, M. G. Schätzel, A. Dreischuh, G. G. Paulus, H. Walther, R. Moshammer, and J. Ullrich, “Influence of Molecular Structure on Double Ionization of N2 and O2 by High Intensity Ultrashort Laser Pulses,” Phys. Rev. Lett. 92(17), 173001 (2004).
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A. Rudenko, K. Zrost, B. Feuerstein, V. L. B. de Jesus, C. D. Schröter, R. Moshammer, and J. Ullrich, “Correlated Multielectron Dynamics in Ultrafast Laser Pulse Interactions with Atoms,” Phys. Rev. Lett. 93(25), 253001 (2004).
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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(4), 043405 (2004).
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M. Weckenbrock, D. Zeidler, A. Staudte, Th. Weber, M. Schöffler, M. Meckel, S. Kammer, M. Smolarski, O. Jagutzki, V. R. Bhardwaj, D. M. Rayner, D. M. Villeneuve, P. B. Corkum, and R. Dörner, “Fully Differential Rates for Femtosecond Multiphoton Double Ionization of Neon,” Phys. Rev. Lett. 92(21), 213002 (2004).
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A. Rudenko, K. Zrost, B. Feuerstein, V. L. B. de Jesus, C. D. Schröter, R. Moshammer, and J. Ullrich, “Correlated Multielectron Dynamics in Ultrafast Laser Pulse Interactions with Atoms,” Phys. Rev. Lett. 93(25), 253001 (2004).
[Crossref]

X. Liu, H. Rottke, E. Eremina, W. Sandner, E. Goulielmakis, K. O. Keeffe, M. Lezius, F. Krausz, F. Lindner, M. G. Schätzel, G. G. Paulus, and H. Walther, “Nonsequential Double Ionization at the Single-Optical-Cycle Limit,” Phys. Rev. Lett. 93(26), 263001 (2004).
[Crossref]

2002 (2)

J. Chen and C. H. Nam, “Ion momentum distributions for He single and double ionization in strong laser fields,” Phys. Rev. A 66(5), 053415 (2002).
[Crossref]

W. Becker, F. Grasbon, R. Kopold, D. Milošević, G. Paulus, and H. Walther, “Above-threshold ionization: From classical features to quantum effects,” Adv. At. Mol. Opt. Phys. 48(1979), 35–98 (2002).
[Crossref]

2001 (2)

B. Feuerstein, R. Moshammer, D. Fischer, A. Dorn, C. D. Schröter, J. Deipenwisch, J. R. Crespo López-Urrutia, C. Höhr, P. Neumayer, J. Ullrich, H. Rottke, C. Trump, M. Wittmann, G. Korn, and W. Sandner, “Separation of Recollision Mechanisms in Nonsequential Strong Field Double Ionization of Ar: The Role of Excitation Tunneling, Phys. Rev. Lett. 87(4), 043003 (2001).
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G. D. Gillen, M. A. Walker, and L. D. Van Woerkom, “Enhanced double ionization with circularly polarized light,” Phys. Rev. A 64(4), 043413 (2001).
[Crossref]

2000 (2)

Th. Weber, H. Giessen, M. Weckenbrock, G. Urbasch, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, M. Vollmer, and R. Dörner, “Correlated electron emission in multiphoton double ionization,” Nature (London) 405(6787), 658–661 (2000).
[Crossref]

R. Moshammer, B. Feuerstein, W. Schmitt, A. Dorn, C. D. Schröter, and J. Ullrich, “Momentum Distributions of Ne n+ Ions Created by an Intense Ultrashort Laser Pulse,” Phys. Rev. Lett. 84(3), 447–450 (2000).
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1994 (1)

B. Walker, B. Sheehy, L. F. DiMauro, P. Agostini, K. J. Schafer, and K. C. Kulander, “Precision measurement of strong field double ionization of helium,” Phys. Rev. Lett. 73 (9), 1227–1230 (1994).
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1993 (1)

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71(13), 1994–1997(1993).
[Crossref] [PubMed]

1992 (1)

D. N. Fittinghoff, P. R. Bolton, B. Chang, and K. C. Kulander, “Observation of nonsequential double ionization of helium with optical tunneling,” Phys. Rev. Lett. 69 (18), 2642–2645 (1992).
[Crossref] [PubMed]

1991 (1)

1988 (1)

M. Ferray, A. L. Huillier, X. F. Li, L. A. Lompré, G. Mainfray, and C. Manus, “Multiple-harmonic conversion of 1064 nm radiation in rare gases,” J. Phys. B 21(3), L31 (1988).
[Crossref]

1987 (1)

1986 (1)

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel Ionization Of Complex Atoms And Atomic Ions In Electromagnetic Field,” Zh. Eksp. Teor. Fiz. 91, 2008–2013 (1986).

Adhikari, P.

A. H. Winney, S. K. Lee, Y. F. Lin, Q. Liao, P. Adhikari, G. Basnayake, H. B. Schlegel, and W. Li, “Attosecond Electron Correlation Dynamics in Double Ionization of Benzene Probed with Two-Electron Angular Streaking,” Phys. Rev. Lett. 119(12), 123201 (2017).
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Agostini, P.

B. Walker, B. Sheehy, L. F. DiMauro, P. Agostini, K. J. Schafer, and K. C. Kulander, “Precision measurement of strong field double ionization of helium,” Phys. Rev. Lett. 73 (9), 1227–1230 (1994).
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Alnaser, A. S.

M. Kübel, K. J. Betsch, N. G. Kling, A. S. Alnaser, J. Schmidt, U. Kleineberg, Y. Deng, I. Ben-Itzhak, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Non-sequential double ionization of Ar: from the single- to the many-cycle regime,” New J. Phys. 16(3), 033008 (2014).
[Crossref]

Ammosov, M. V.

M. V. Ammosov, N. B. Delone, and V. P. Krainov, “Tunnel Ionization Of Complex Atoms And Atomic Ions In Electromagnetic Field,” Zh. Eksp. Teor. Fiz. 91, 2008–2013 (1986).

Basnayake, G.

A. H. Winney, S. K. Lee, Y. F. Lin, Q. Liao, P. Adhikari, G. Basnayake, H. B. Schlegel, and W. Li, “Attosecond Electron Correlation Dynamics in Double Ionization of Benzene Probed with Two-Electron Angular Streaking,” Phys. Rev. Lett. 119(12), 123201 (2017).
[Crossref]

Bauer, T.

S. Eckart, M. Richter, M. Kunitski, A. Hartung, J. Rist, K. Henrichs, N. Schlott, H. Kang, T. Bauer, H. Sann, L. Ph. H. Schmidt, M. Schöffler, T. Jahnke, and R. Dörner, “Nonsequential Double Ionization by Counterrotating Circularly Polarized Two-Color Laser Fields,” Phys. Rev. Lett. 117(13), 133202 (2016).
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Becker, A.

T. Fan, P. Grychtol, R. Knut, C. Hernández-García, D. D. Hickstein, D. Zusin, C. Gentry, F. J. Dollar, C. A. Mancuso, C. W. Hogle, O. Kfir, D. Legut, K. Carva, J. L. Ellis, K. M. Dorney, C. Chen, O. G. Shpyrko, E. E. Fullerton, O. Cohen, P. M. Oppeneer, D. B. Milošević, A. Becker, A. A. Jaroń-Becker, T. Popmintchev, M. M. Murnane, and H. C. Kapteyn, “Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism,” Proc. Natl. Acad. Sci. U.S.A. 112(46), 14206–14211 (2015).
[Crossref] [PubMed]

A. Staudte, C. Ruiz, M. Schöffler, S. Schössler, D. Zeidler, Th. Weber, M. Meckel, D. M. Villeneuve, P. B. Corkum, A. Becker, and R. Dörner, “Binary and Recoil Collisions in Strong Field Double Ionization of Helium,” Phys. Rev. Lett. 99(26), 263002 (2007).
[Crossref]

Becker, W.

A. Gazibegović-Busuladžić, W. Becker, and D. B. Milošević, “Helicity asymmetry in strong-field ionization of atoms by a bicircular laser field,” Opt. Express 26(10), 12684–12697 (2018).
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Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
[Crossref]

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. 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(5), 053406 (2016).
[Crossref]

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(4), 043405 (2004).
[Crossref]

W. Becker, F. Grasbon, R. Kopold, D. Milošević, G. Paulus, and H. Walther, “Above-threshold ionization: From classical features to quantum effects,” Adv. At. Mol. Opt. Phys. 48(1979), 35–98 (2002).
[Crossref]

Ben, S.

S. Ben, P. Y. Guo, X. F. Pan, T. T. Xu, K. L. Song, and X. S. Liu, “Recollision induced excitation-ionization with counter-rotating two-color circularly polarized laser field,” Chem. Phys. Lett. 679, 38–44 (2017).
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Ben-Itzhak, I.

M. Kübel, K. J. Betsch, N. G. Kling, A. S. Alnaser, J. Schmidt, U. Kleineberg, Y. Deng, I. Ben-Itzhak, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Non-sequential double ionization of Ar: from the single- to the many-cycle regime,” New J. Phys. 16(3), 033008 (2014).
[Crossref]

Bergues, B.

M. Kübel, K. J. Betsch, N. G. Kling, A. S. Alnaser, J. Schmidt, U. Kleineberg, Y. Deng, I. Ben-Itzhak, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Non-sequential double ionization of Ar: from the single- to the many-cycle regime,” New J. Phys. 16(3), 033008 (2014).
[Crossref]

N. Camus, B. Fischer, M. Kremer, V. Sharma, A. Rudenko, B. Bergues, M. Kübel, N. G. Johnson, M. F. Kling, T. Pfeifer, J. Ullrich, and R. Moshammer, “Attosecond correlated dynamics of two electrons passing through a transition state,” Phys. Rev. Lett. 108(7), 073003 (2012).
[Crossref] [PubMed]

Betsch, K. J.

M. Kübel, K. J. Betsch, N. G. Kling, A. S. Alnaser, J. Schmidt, U. Kleineberg, Y. Deng, I. Ben-Itzhak, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Non-sequential double ionization of Ar: from the single- to the many-cycle regime,” New J. Phys. 16(3), 033008 (2014).
[Crossref]

Bhardwaj, V. R.

M. Weckenbrock, D. Zeidler, A. Staudte, Th. Weber, M. Schöffler, M. Meckel, S. Kammer, M. Smolarski, O. Jagutzki, V. R. Bhardwaj, D. M. Rayner, D. M. Villeneuve, P. B. Corkum, and R. Dörner, “Fully Differential Rates for Femtosecond Multiphoton Double Ionization of Neon,” Phys. Rev. Lett. 92(21), 213002 (2004).
[Crossref] [PubMed]

Blaga, C. I.

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(13), 133002 (2006).
[Crossref]

Bolton, P. R.

D. N. Fittinghoff, P. R. Bolton, B. Chang, and K. C. Kulander, “Observation of nonsequential double ionization of helium with optical tunneling,” Phys. Rev. Lett. 69 (18), 2642–2645 (1992).
[Crossref] [PubMed]

Boyer, K.

Büttiker, M.

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(5907), 1525–1529 (2008).
[Crossref] [PubMed]

Camus, N.

N. Camus, B. Fischer, M. Kremer, V. Sharma, A. Rudenko, B. Bergues, M. Kübel, N. G. Johnson, M. F. Kling, T. Pfeifer, J. Ullrich, and R. Moshammer, “Attosecond correlated dynamics of two electrons passing through a transition state,” Phys. Rev. Lett. 108(7), 073003 (2012).
[Crossref] [PubMed]

Cao, W.

M. He, Y. Li, Y. Zhou, M. Li, W. Cao, and P. Lu, “Direct visualization of valence electron motion using strong-field photoelectron holography,” Phys. Rev. Lett. 120(13), 133204 (2018).
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S. Luo, X. Ma, H. Xie, M. Li, Y. Zhou, W. Cao, and P. Lu, “Controlling nonsequential double ionization of Ne with parallel-polarized two-color laser pulses,” Opt. Express 26(10), 13666–13676 (2018).
[Crossref] [PubMed]

Carva, K.

T. Fan, P. Grychtol, R. Knut, C. Hernández-García, D. D. Hickstein, D. Zusin, C. Gentry, F. J. Dollar, C. A. Mancuso, C. W. Hogle, O. Kfir, D. Legut, K. Carva, J. L. Ellis, K. M. Dorney, C. Chen, O. G. Shpyrko, E. E. Fullerton, O. Cohen, P. M. Oppeneer, D. B. Milošević, A. Becker, A. A. Jaroń-Becker, T. Popmintchev, M. M. Murnane, and H. C. Kapteyn, “Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism,” Proc. Natl. Acad. Sci. U.S.A. 112(46), 14206–14211 (2015).
[Crossref] [PubMed]

Chaloupka, J. L.

J. L. Chaloupka and D. D. Hickstein, “Dynamics of Strong-Field Double Ionization in Two-Color Counterrotating Fields,” Phys. Rev. Lett. 116(14), 143005 (2016).
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C. A. Mancuso, K. M. Dorney, D. D. Hickstein, J. L. Chaloupka, J. L. Ellis, F. J. Dollar, R. Knut, P. Grychtol, D. Zusin, C. Gentry, M. Gopalakrishnan, H. C. Kapteyn, and M. M. Murnane, “Controlling Nonsequential Double Ionization in Two-Color CircularlyPolarized Femtosecond Laser Fields,” Phys. Rev. Lett. 117(13), 133201 (2016).
[Crossref] [PubMed]

Chandre, C.

F. Mauger, C. Chandre, and T. Uzer, “Recollisions and Correlated Double Ionization with Circularly Polarized Light,” Phys. Rev. Lett. 105(8), 083002 (2010).
[Crossref] [PubMed]

Chang, B.

D. N. Fittinghoff, P. R. Bolton, B. Chang, and K. C. Kulander, “Observation of nonsequential double ionization of helium with optical tunneling,” Phys. Rev. Lett. 69 (18), 2642–2645 (1992).
[Crossref] [PubMed]

Chen, C.

T. Fan, P. Grychtol, R. Knut, C. Hernández-García, D. D. Hickstein, D. Zusin, C. Gentry, F. J. Dollar, C. A. Mancuso, C. W. Hogle, O. Kfir, D. Legut, K. Carva, J. L. Ellis, K. M. Dorney, C. Chen, O. G. Shpyrko, E. E. Fullerton, O. Cohen, P. M. Oppeneer, D. B. Milošević, A. Becker, A. A. Jaroń-Becker, T. Popmintchev, M. M. Murnane, and H. C. Kapteyn, “Bright circularly polarized soft X-ray high harmonics for X-ray magnetic circular dichroism,” Proc. Natl. Acad. Sci. U.S.A. 112(46), 14206–14211 (2015).
[Crossref] [PubMed]

Chen, J.

K. Lin, X. Jia, Z. Yu, F. He, J. Ma, H. Li, X. Gong, Q. Song, Q. Ji, W. Zhang, H. Li, P. Lu, H. Zeng, J. Chen, and J. Wu, “Comparison Study of Strong-Field Ionization of Molecules and Atoms by Bicircular Two-Color Femtosecond Laser Pulses,” Phys. Rev. Lett. 119(20), 203202 (2017).
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Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
[Crossref]

J. Chen and C. H. Nam, “Ion momentum distributions for He single and double ionization in strong laser fields,” Phys. Rev. A 66(5), 053415 (2002).
[Crossref]

Chen, Y.

J. Tan, Y. Zhou, M. He, Y. Chen, Q. Ke, J. Liang, X. Zhu, M. Li, and P. Lu, “Determination of the ionization time using attosecond photoelectron interferometry,” Phys. Rev. Lett. 121(25), 253203 (2018).
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J. Tan, Yang Li, Y. Zhou, M. He, Y. Chen, M. Li, Lu, and P., “Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization,” Opt. Quant. Electron. 50(2), 57 (2018).
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Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
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Y. Chen, Y. Zhou, Y. Li, M. Li, P. Lan, and P. Lu, “The contribution of the delayed ionization in strong-field nonsequential double ionization,” J. Chem. Phys. 144(2), 024304 (2016).
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Cheng, Y.

Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
[Crossref]

Chu, W.

Y. Wang, S. Xu, Y. Chen, H. Kang, X. Lai, W. Quan, X. Liu, X. Hao, W. Li, S. Hu, J. Chen, W. Becker, W. Chu, J. Yao, B. Zeng, Y. Cheng, and Z. Xu, “Wavelength scaling of atomic nonsequential double ionization in intense laser fields,” Phys. Rev. A 95(6), 063415 (2017).
[Crossref]

Cirelli, C.

A. N. Pfeiffer, C. Cirelli, M. Smolarski, R. Dörner, and U. Keller, “Timing the release in sequential double ionization,” Nat. Phys. 7(5), 428–433 (2011).
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J. Tan, Yang Li, Y. Zhou, M. He, Y. Chen, M. Li, Lu, and P., “Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization,” Opt. Quant. Electron. 50(2), 57 (2018).
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Lu, P.

X. Ma, Y. Zhou, N. Li, M. Li, and P. Lu, “Attosecond control of correlated electron dynamics in strong-field nonsequential double ionization by parallel two-color pulses,” Optics & Laser Technology 108, 235–240 (2018).
[Crossref]

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M. He, Y. Li, Y. Zhou, M. Li, W. Cao, and P. Lu, “Direct visualization of valence electron motion using strong-field photoelectron holography,” Phys. Rev. Lett. 120(13), 133204 (2018).
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[Crossref]

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[Crossref]

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[Crossref] [PubMed]

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[Crossref]

Y. Zhou, C. Huang, Q. Liao, and P. Lu, “Classical Simulations Including Electron Correlations for Sequential Double Ionization,” Phys. Rev. Lett. 109(5), 053004 (2012).
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Y. Zhou, Q. Liao, and P. Lu, “Asymmetric electron energy sharing in strong-field double ionization of helium,” Phys. Rev. A 82(5), 053402 (2010).
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Luk, T. S.

Luo, S.

Ma, J.

K. Lin, X. Jia, Z. Yu, F. He, J. Ma, H. Li, X. Gong, Q. Song, Q. Ji, W. Zhang, H. Li, P. Lu, H. Zeng, J. Chen, and J. Wu, “Comparison Study of Strong-Field Ionization of Molecules and Atoms by Bicircular Two-Color Femtosecond Laser Pulses,” Phys. Rev. Lett. 119(20), 203202 (2017).
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Ma, X.

S. Luo, X. Ma, H. Xie, M. Li, Y. Zhou, W. Cao, and P. Lu, “Controlling nonsequential double ionization of Ne with parallel-polarized two-color laser pulses,” Opt. Express 26(10), 13666–13676 (2018).
[Crossref] [PubMed]

X. Ma, Y. Zhou, N. Li, M. Li, and P. Lu, “Attosecond control of correlated electron dynamics in strong-field nonsequential double ionization by parallel two-color pulses,” Optics & Laser Technology 108, 235–240 (2018).
[Crossref]

N. Li, Y. Zhou, X. Ma, M. Li, C. Huang, and P. Lu, “Correlated electron dynamics in strong-field nonsequential double ionization of Mg,” J. Chem. Phys. 147(17), 174302 (2017).
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X. Ma, Y. Zhou, and P. Lu, “Multiple recollisions in strong-field nonsequential double ionization,” Phys. Rev. A 93(1), 013425 (2016).
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M. Ferray, A. L. Huillier, X. F. Li, L. A. Lompré, G. Mainfray, and C. Manus, “Multiple-harmonic conversion of 1064 nm radiation in rare gases,” J. Phys. B 21(3), L31 (1988).
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Mancuso, C. A.

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J. Tan, Y. Zhou, M. He, Y. Chen, Q. Ke, J. Liang, X. Zhu, M. Li, and P. Lu, “Determination of the ionization time using attosecond photoelectron interferometry,” Phys. Rev. Lett. 121(25), 253203 (2018).
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Figures (5)

Fig. 1
Fig. 1 The yields of double to single ionization versus γE (γE = E   ω 1 / E   ω 2 ) at a combined intensity of I   0 = 0.05 PW/cm2. The wavelengths of the two-color components are labeled in the legend.
Fig. 2
Fig. 2 (a)-(c) The emitting angle distributions of the electrons for the SI (black dots) and NSDI events (red dots) for the cases of γ E = (a) 1.0, (b) 2.0, and (c) 3.5 for the counter-rotating CPTC fields consisting of the 800-nm and 1600-nm pulses, respectively. (d)-(f) The emitting angle distribution of the electrons for the SI and NSDI events. Here we separately show the distribution for the recolliding and the bound electrons. The black dots represent the electrons in the SI event.
Fig. 3
Fig. 3 Distribution of relative emitting angle between the two electrons as a function of the amplitude ratio γE for the CPTC fields consisting of the 800-nm and 1600-nm pulses. The black dashed lines indicate the cases of a E = 1.0 , 2.0 , and 3.5 , respectively, which are analyzed in Figs. 4 and 5.
Fig. 4
Fig. 4 (a) The electric field E ( t ) (thin curves) and the corresponding negative vector potential - A ( t ) (thick curves) of the TCCP field with γ E = 1.0 (plotted in arbitrary units). The arrows indicate the time evolution direction. A lobe of the electric field corresponds to a side of the triangle of the negative vector potential. The dots mark the field maxima and their corresponding negative vector potentials. (b) The blue curve is the final ionization time of the first electron after recollision and the black curve is the final ionization time of the second electron. T1 indicates the optical cycle of 800-nm laser field. The vertical gray dashed lines represent the field maxima. Here we only selected the events where tunneling ionization of the recolliding electron occurs within one lobe of the electric field and recollision occurs at its first returning. (c) The relative angle distribution of the electron pairs.
Fig. 5
Fig. 5 (a) (b) The electric field E ( t ) (thin curves) and the corresponding negative vector potential A ( t ) (thick curves) of the CPTC pulse with γ E = 2.0 and 3.5, respectively (plotted in arbitrary units). The arrows indicate the time evolution direction. The dots mark the field maxima and their corresponding negative vector potentials. (c) The relative emitting angle distribution of the electron pairs. (d) The distributions of the time delay between the final ionization of the two electrons after recollision. (e) (f) Left axis: the distribution of the final ionization of the two electrons after recollision. Right axis (the red curve): The direction of the vector potential A ( t ) . The gray dashed lines indicate the field maximum. The blue curves and the black curves indicate the ionization times of the first and the second electron, respectively.

Equations (6)

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w ( t 0 ) = ( 2 ( 2 I p 1 ) 1 / 2 | E ( t 0 ) | ) 2 2 I p 1 1 exp ( 2 ( 2 I p 1 ) 3 / 2 3 | E ( t 0 ) | ) ,
w ( υ 0 ) = 1 | E ( t 0 ) | exp ( ( υ 0 ) 2 ( 2 I p 1 ) 1 / 2 | E ( t 0 ) | ) .
d 2 r i d t 2 = [ V n e ( r i ) + V e e ( r 1 , r 2 ) ] E ( t ) ,
E 1 ( t ) = γ E E 0 2 ( 1 + γ E ) f ( t ) [ cos  ( ω 1 t ) x ^ + sin  ( ω 1 t ) y ^ ] ,
E 2 ( t ) = E 0 2 ( 1 + γ E ) f ( t ) [ cos  ( ω 2 t ) x ^ sin  ( ω 2 t ) y ^ ] .
f ( t ) = {   1 , t 8 T 1   cos 2 ( ( t 8 T 1 ) π 4 T 1 ) , 8 T 1 < t 10 T 1   0 , t > 10 T 1

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