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Timestamp: 2019-04-20 13:23:54+00:00

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We measure the recoil-ion momentum distributions from nonsequential double ionization of Ne by two-color laser pulses consisting of a strong 800-nm field and a weak 400-nm field with parallel polarizations. The ion momentum spectra show pronounced asymmetries in the emission direction, which depend sensitively on the relative phase of the two-color components. Moreover, the peak of the doubly charged ion momentum distribution shifts gradually with the relative phase. The shifted range is much larger than the maximal vector potential of the 400-nm laser field. Those features are well recaptured by a semiclassical model. Through analyzing the correlated electron dynamics, we found that the energy sharing between the two electrons is extremely unequal at the instant of recollison. We further show that the shift of the ion momentum corresponds to the change of the recollision time in the two-color laser field. By tuning the relative phase of the two-color components, the recollision time is controlled with attosecond precision.
P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett. 71(13), 1994–1997(1993).
A. McPherson, G. Gibson, H. Jara, U. Johann, T. S. Luk, I. A. McIntyre, K. Boyer, and C. K. Rhodes, “Studies of multiphoton production of vacuum-ultraviolet radiation in the rare gases,” J. Opt. Soc. Am. B 4(4), 595–601 (1987).
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).
B. Wang, L. He, F. Wang, H. Yuan, X. Zhu, P. Lan, and P. Lu, “Resonance-modulated wavelength scaling of high-order-harmonic generation from H2+,” Phys. Rev. A 97(1), 013417 (2018).
C. Zhai, X. Zhang, X. Zhu, L. He, Y. Zhang, B. Wang, Q. Zhang, P. Lan, and P. Lu, “Single-shot molecular orbital tomography with orthogonal two-color fields,” Opt. Express 26(3), 2775–2784 (2018).
L. He, Q. Zhang, P. Lan, W. Cao, X. Zhu, C. Zhai, F. Wang, W. Shi, M. Li, X. Bian, P. Lu, and André D. Bandrauk, “Monitoring ultrafast vibrational dynamics of isotopic molecules with frequency modulation of high-order harmonics,” Nat. Commun. 9(1), 1108 (2018).
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).
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, 35–98 (2002).
J. Tan, Yang Li, Y. Zhou, M. He, Y. Chen, M. Li, and P. Lu, “Identifying the contributions of multiple-returning recollision orbits in strong-field above-threshold ionization,” Opt. Quant. Electron. 50(2), 57 (2018).
B. Wolter, M. G. Pullen, A.-T. Le, M. Baudisch, K. Doblhoff-Dier, A. Senftleben, M. Hemmer, C. D. Schröter, J. Ullrich, T. Pfeifer, R. Moshammer, S. Gräfe, O. Vendrell, C. D. Lin, and J. Biegert, “Ultrafast electron diffraction imaging of bond breaking in di-ionized acetylene,” Science 354(6310), 308 (2016).
M. G. Pullen, B. Wolter, A. -T. Le, M. Baudisch, M. Hemmer, A. Senftleben, C. D. Schröter, J. Ullrich, R. Moshammer, C. D. Lin, and J. Biegert, “Imaging an aligned polyatomic molecule with laser-induced electron diffraction,” Nat. Commun. 6(1), 7262 (2015).
M. G. Pullen, B. Wolter, A. -T. Le, M. Baudisch, M. Sclafani, H. Pires, C. D. Schröter, J. Ullrich, R. Moshammer, T. Pfeifer, C. D. Lin, and J. Biegert, “Influence of orbital symmetry on diffraction imaging with rescattering electron wave packets,” Nat. Commun. 7, 11922 (2016).
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).
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).
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).
R. Moshammer, J. Ullrich, B. Feuerstein, D. Fischer, A. Dorn, C. D. Schröter, J. R. Crespo López-Urrutia, C. Höhr, H. Rottke, C. Trump, M. Wittmann, G. Korn, K. Hoffmann, and W. Sandner, “Strongly directed electron emission in non-sequential double ionization of Ne by intense laser pulses,” J. Phys. B 36(6), L113 (2003).
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).
Y. Liu, S. Tschuch, A. Rudenko, M. Dürr, M. Siegel, U. Morgner, R. Moshammer, and J. Ullrich, “Strong-Field Double Ionization of Ar below the Recollision Threshold,” Phys. Rev. Lett. 101(5), 053001 (2008).
A. Rudenko, V. L. B. de Jesus, Th. Ergler, K. Zrost, B. Feuerstein, C. D. Schröter, R. Moshammer, and J. Ullrich, “Correlated Two-Electron Momentum Spectra for Strong-Field Nonsequential Double Ionization of He at 800 nm,” Phys. Rev. Lett. 99(26), 263003 (2007).
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).
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).
C. Ruiz and A. Becker, “Time-resolved mapping of correlated electron emission from helium atom in an intense laser pulse,” New J. Phys. 10(2), 025020 (2008).
Y. Chen, Y. Zhou, Y. Li, M. Li, P. Lan, and P. Lu, “Rabi oscillation in few-photon double ionization through doubly excited states,” Phys. Rev. A 97(1), 013428 (2018).
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).
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).
D. Ye, M. Li, L. Fu, J. Liu, Q. Gong, Y. Liu, and J. Ullrich, “Scaling Laws of the Two-Electron Sum-Energy Spectrum in Strong-Field Double Ionization,” Phys. Rev. Lett. 115(12), 123001 (2015).
X. Ma, Y. Zhou, and P. Lu, “Multiple recollisions in strong-field nonsequential double ionization,” Phys. Rev. A 93(1), 013425 (2016).
C. Huang, M. Zhong, and Z. Wu, “Recollision dynamics in nonsequential double ionization of atoms by long-wavelength pulses,” Opt. Express 24(25), 28361–28371 (2016).
X. Ma, M. Li, Y. Zhou, and P. Lu, “Nonsequential double ionization of Xe by mid-infrared laser pulses,” Opt. Quant. Electron 49(4), 170 (2017).
X. Liu and C. Figueira de Morisson Faria, “Nonsequential Double Ionization with Few-Cycle Laser Pulses,” Phys. Rev. Lett. 92(13), 133006 (2004).
N. Johnson, O. Herrwerth, A. Wirth, S. De, I. Ben-Itzhak, M. Lezius, B. Bergues, M. F. Kling, A. Senftleben, C. D. Schröter, R. Moshammer, J. Ullrich, K. J. Betsch, R. R. Jones, A. M. Sayler, T. Rathje, K. Rühle, W. Müller, and G. G. Paulus, “Single-shot carrier-envelope-phase-tagged ion-momentum imaging of nonsequential double ionization of argon in intense 4-fs laser fields,” Phys. Rev. A 83(1), 013412 (2011).
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).
G. Xin, D. Ye, and J. Liu, “Dependence of the correlated-momentum patterns in double ionization on the carrier-envelope phase and intensity of a few-cycle laser pulse,” Phys. Rev. A 82(6), 063423 (2010).
B. Bergues, M. Kübel, Nora G. Johnson, B. Fischer, N. Camus, K. J. Betsch, O. Herrwerth, A. Senftleben, A. Max Sayler, T. Rathje, T. Pfeifer, I. Ben-Itzhak, R. R. Jones, G. G. Paulus, F. Krausz, R. Moshammer, J. Ullrich, and M. F. Kling, “Attosecond tracing of correlated electron-emission in non-sequential double ionization,” Nat. Commun. 3(3), 813 (2012).
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).
M. Kübel, Nora G. Kling, K. J. Betsch, N. Camus, A. Kaldun, U. Kleineberg, I. Ben-Itzhak, R. R. Jones, G. G. Paulus, T. Pfeifer, J. Ullrich, R. Moshammer, M. F. Kling, and B. Bergues, “Nonsequential double ionization of N2 in a near-single-cycle laser pulse,” Phys. Rev. A 88(2), 023418 (2013).
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).
L. Chen, Y. Zhou, C. Huang, Q. Zhang, and P. Lu, “Attosecond-resolved electron emission in nonsequential double ionization,” Phys. Rev. A 88(4), 043425 (2013).
Z. Yuan, D. Ye, Q. Xia, J. Liu, and L. Fu, “Intensity-dependent two-electron emission dynamics with orthogonally polarized two-color laser fields,” Phys. Rev. A 91(6), 063417 (2015).
L. Zhang, X. Xie, S. Roither, Y. Zhou, P. Lu, D. Kartashov, M. Schöffler, D. Shafir, P. B. Corkum, A. Baltuška, A. Staudte, and M. Kitzler, “Subcycle control of electron-electron correlation in double ionization,” Phys. Rev. Lett. 112(19), 193002 (2014).
Jan L. Chaloupka and Daniel D. Hickstein, “Dynamics of Strong-Field Double Ionization in Two-Color Counterrotating Fields,” Phys. Rev. Lett. 116(14), 143005 (2016).
Christopher A. Mancuso, Kevin M. Dorney, Daniel D. Hickstein, Jan L. Chaloupka, Jennifer L. Ellis, Franklin J. Dollar, Ronny Knut, Patrik Grychtol, Dmitriy Zusin, Christian Gentry, Maithreyi Gopalakrishnan, Henry C. Kapteyn, and Margaret M. Murnane, “Controlling Nonsequential Double Ionization in Two-Color Circularly Polarized Femtosecond Laser Fields,” Phys. Rev. Lett. 117(13), 133201 (2016).
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).
Y. Zhou, Q. Liao, Q. Zhang, W. Hong, and P. Lu, “Controlling nonsequential double ionization via two-color few-cycle pulses,” Opt. Express 18(2), 632–638 (2010).
H. Xie, M. Li, S. Luo, Y. Li, Y. Zhou, W. Cao, and P. Lu, “Energy-dependent angular shifts in the photoelectron momentum distribution for atoms in elliptically polarized laser pulses,” Phys. Rev. A 96(6), 063421 (2017).
A. Rudenko, Th. Ergler, K. Zrost, B. Feuerstein, V. L. B. de Jesus, C. D. Schröter, R. Moshammer, and J. Ullrich, “Intensity-dependent transitions between different pathways of strong-field double ionization,” Phys. Rev. A 78(1), 015403 (2008).
L. Fu, J. Liu, J. Chen, and S. Chen, “Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime,” Phys. Rev. A 63(4), 043416 (2001).
Z. Yuan, D. Ye, J. Liu, and L. Fu, “Inner-shell electron effects in strong-field double ionization of Xe,” Phys. Rev. A 93(6), 063409 (2016).
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).
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).
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).
N. B. Delone and V. P. Krainov, “Energy and angular electron spectra for the tunnel ionization of atoms by strong low-frequency radiation,” J. Opt. Soc. Am. B 8(6), 1207–1211 (1991).
S. Haan, Z. Smith, K. Shomsky, and P. Plantinga, “Anticorrelated electrons from weak recollisions in nonsequential double ionization,” J. Phys. B 41(21), 211002 (2008).
Y. Liu, D. Ye, J. Liu, A. Rudenko, S. Tschuch, M. Dürr, M. Siegel, U. Morgner, Q. Gong, R. Moshammer, and J. Ullrich, “Multiphoton double ionization of Ar and Ne close to threshold,” Phys. Rev. Lett. 104(17), 173002 (2010).
Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-Resolved Holography with Photoelectrons,” Science 331(6013), 61–64 (2011).
M. Li, J.-W. Geng, M. Han, M.-M. Liu, L.-Y. Peng, Q. Gong, and Y. Liu, “Subcycle nonadiabatic strong-field tunneling ionization,” Phys. Rev. A. 93(1), 013402 (2016).
Q. Liao, Y. Li, M. Qin, and P. Lu, “Attosecond interference in strong-field nonsequential double ionization,” Phys. Rev. A 96(6), 063408 (2017).
de Jesus, V. L. B.
Figueira de Morisson Faria, C.
Logman, P. S. W. M.
van der Meer, A. F. G.
Fig. 1 Measured (a) and simulated (b) momentum distributions along the laser polarization direction of the Ne+ ions with respect to the relative phase of the two-color laser field.
Fig. 2 Measured (a) and simulated (b) momentum distributions along the laser polarization direction of Ne2+ with respect to the relative phase of the two-color laser field. The black solid line in (a) shows the peak of the momentum distribution of Ne2+ at the relative phase from 0.5π to 1.5π. Note that the intensity averaging in the focal volume is not included in the simulation.
Fig. 3 Correlated electron momentum distributions along the laser polarization direction calculated by the semiclassical ensemble model using the two-color laser pulses at the relative phases ϕ = 1π [(c),(e)] and 1:5π [(d),(f)] and the corresponding laser electric fields [(a) and (b)]. The superimposed dots in (c)-(f) represent the results calculated by a classical one-dimensional recollision model. The energy sharing ratio between e1 and e2 at the instant of recollision is assumed to be 1: 0 [(c),(d)] and 0.5: 0.5 [(e),(f)]. The brown dots represent the final momenta of the first electron e1 and the second electron e2 in binary collision and the white dots represent the same in recoil collision. The red dashed squares indicate the 2 U p cutoff momentum for tunneled electrons.
Fig. 4 The calculated momentum distributions along the laser polarization direction with respect to the relative phase after the recollision for the first electron e1 (a) and the second electron e2 (b), and the calculated final momentum distribution along the laser polarization direction of e1 (c) and e2 (d).
Fig. 5 (a) Comparison of the measured (mauve lines with dots) and simulated (red lines) peaks of the ion momentum distributions. The black solid lines with crosses show the vector potential at the instant of the recollision corresponding to the maximal ionization probability. Error bars are derived from the experiment based on Poissonian statistics and standard error propagation. (b) The distribution of the recollision time with respect to the relative phase.
(4) w ( υ ⊥ 0 i ) = 1 | ε | exp ( − ( υ ⊥ 0 i ) 2 ( 2 I p 1 ) 1 / 2 | ε | ) .

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