Abstract
With the three-dimensional semiclassical ensemble model, we studied the correlated electron dynamics in strong-field nonsequential double ionization of Xe by mid-infrared laser pulses over a wide range of laser intensities. Numerical results show that the correlated electron momentum distribution exhibits the strong back-to-back pattern at the lower laser intensity. It evolves into the side-by-side behavior as the laser intensity increases and presents the experimentally observed crosslike shape at high laser intensity. Different from the case of near-infrared region where recollision mainly occurs at the first returning, at the mid-infrared region recollision dominantly occurs at the later returnings. The windows of initial transverse velocity for the various multiple-returning recollision trajectories are different and are unambiguously determined by this semiclassical ensemble model.
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References
Agostini, P., DiMauro, L.F.: Atoms in high intensity mid-infrared pulses. Contemp. Phys. 49, 179–197 (2008)
Alnaser, A.S., Comtois, D., Hasan, A.T., Villeneuve, D.M., Kieffer, J., Litvinyuk, V.: Strong-field non-sequential double ionization: wavelength dependence of ion momentum distributions for neon and argon. J. Phys. B 41, 031001 (2008)
Ammosov, M.V., Delon, N.B., Krainov, V.P.: Tunnel ionization of complex atoms and atomic ions in electromagnetic field. Zh. Eksp. Teor. Fiz. 91: 2008–2013 (1986). [Sov. Phys. JETP 64, 1191-1194 (1986)]
Bauer, D.: Two-dimensional, two-electron model atom in a laser pulse: exact treatment, single-active-electron analysis, time-dependent density-functional theory, classical calculations, and nonsequential ionization. Phys. Rev. A 56, 3028–3039 (1997)
Becker, A., Faisal, F.H.M.: Interpretation of momentum distribution of recoil ions from laser induced nonsequential double ionization. Phys. Rev. Lett. 84, 3546–3549 (2000)
Bergues, B., Kübel, 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.: Attosecond tracing of correlated electron-emission in non-sequential double ionization. Nat. Commun. 3, 813 (2012)
Chen, Z.J., Liang, Y.Q., Lin, C.D.: Quantum theory of recollisional (e, 2e) process in strong field nonsequential double ionization of helium. Phys. Rev. Lett. 104, 253201 (2010)
Corkum, P.B.: Plasma perspective on strong field multiphoton ionization. Phys. Rev. Lett. 71, 1994–1997 (1993)
de Morisson Faria, C.F., Liu, X.: Electron-electron correlation in strong laser fields. J. Mod. Opt. 58, 1076–1131 (2011)
Delone, N.B., Krainov, V.P.: Energy and angular electron spectra for the tunnel ionization of atoms by strong low-frequency radiation. J. Opt. Soc. Am. B 8, 1207–1211 (1991)
DiChiara, A.D., Sistrunk, E., Blaga, C.I., Szafruga, U.B., Agostini, P., DiMauro, L.F.: Inelastic scattering of broadband electron wave packets driven by an intense midinfrared laser field. Phys. Rev. Lett. 108, 033002 (2012)
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.: Separation of recollision mechanisms in nonsequential strong field double ionization of Ar: the role of excitation tunneling. Phys. Rev. Lett. 87, 043003 (2001)
Fittinghoff, D.N., Bolton, P.R., Chang, B., Kulander, K.C.: Observation of nonsequential double ionization of helium with optical tunneling. Phys. Rev. Lett. 69, 2642–2645 (1992)
Fu, L.B., Liu, J., Chen, J., Chen, S.G.: Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime. Phys. Rev. A 63, 043416 (2001)
Haan, S.L., Breen, L., Karim, A., Eberly, J.H.: Variable time lag and backward ejection in full-dimensional analysis of strong-field double ionization. Phys. Rev. Lett. 97, 103008 (2006)
Haan, S.L., Van Dyke, J.S., Smith, Z.S.: Recollision excitation, electron correlation, and the production of high-momentum electrons in double ionization. Phys. Rev. Lett. 101, 113001 (2008a)
Haan, S.L., Smith, Z.S., Shomsky, K.N., Plantinga, P.W.: Anticorrelated electrons from weak recollisions in nonsequential double ionization. J. Phys. B 41, 211002 (2008b)
Hao, X.L., Chen, J., Li, W.D., Wang, B.B., Wang, X.D., Becker, W.: Quantum effects in double ionization of argon below the threshold intensity. Phys. Rev. Lett. 112, 073002 (2014)
He, M.R., Li, Y., Zhou, Y.M., Li, M., Lu, P.X.: Temporal and spatial manipulation of the recolliding wave packet in strong-field photoelectron holography. Phys. Rev. A 93, 033406 (2016)
Herrwerth, O., Rudenko, A., Kremer, M., de Jesus, V.L.B., Fischer, B., Gademann, G., Simeonidis, K., Achtelik, A., Ergler, Th, Feuerstein, B., Schröter, C.D., Moshammer, R., Ullrich, J.: Wavelength dependence of sub-laser-cycle few-electron dynamics in strong-field multiple ionization. New J. Phys. 10, 025007 (2008)
Hickstein, D.D., Ranitovic, P., Witte, S., Tong, X.M., Huismans, Y., Arpin, P., Zhou, X.B., Keister, K.E., Hogle, C.W., Zhang, B.S., Ding, C.Y., Johnsson, P., Toshima, N., Vrakking, M.J.J., Murnane, M.M., Kapteyn, H.C.: Direct Visualization of Laser-Driven Electron Multiple Scattering and Tunneling Distance in Strong-Field Ionization. Phys. Rev. Lett. 109, 073004 (2012)
Ho, P.J., Panfili, R., Haan, S.L., Eberly, J.H.: Nonsequential double ionization as a completely classical photoelectric effect. Phys. Rev. Lett. 94, 093002 (2005)
Hu, S.X.: Boosting photoabsorption by attosecond control of electron correlation. Phys. Rev. Lett. 111, 123003 (2013)
Huang, C., Zh, M.M., Wu, Z.M.: Recollision dynamics in nonsequential double ionization of atoms by long-wavelength pulses. Opt. Express 24, 28361–28371 (2016a)
Huang, C., Guo, W.L., Zhou, Y.M., Wu, Z.M.: Role of coulomb repulsion in correlated-electron emission from a doubly excited state in nonsequential double ionization of molecules. Phys. Rev. A 93, 013416 (2016b)
Huang, H., Ke, S.L., Wang, B., Long, H., Wang, K., Lu, P.X.: Numerical study on plasmonic absorption enhancement by a rippled graphene sheet. J Lightwave Technol. 35, 320–324 (2017)
I’Huillier, A., Lompre, L.A., Mainfray, G., Manus, C.: Multiply charged ions induced by multiphoton absorption in rare gases at 0.53 \(\mu m\). Phys. Rev. A 27, 2503–2512 (1983)
Ivanov, I.A., Kheifets, A.S., Calvert, J.E., Goodall, S., Wang, X., Xu, H., Palmer, A.J., Kielpinski, D., Litvinyuk, I.V., Sang, R.T.: Transverse electron momentum distribution in tunneling and over the barrier ionization by laser pulses with varying ellipticity. Sci. Rep. 6, 19002 (2016)
Kübel, M., Kling, N.G., Betsch, K.J., Camus, N., Kaldun, A., Kleineberg, U., Ben-Itzhak, I., Jones, R.R., Paulus, G.G., Pfeifer, T., Ullrich, J., Moshammer, R., Kling, M.F., Bergues, B.: Nonsequential double ionization of \(\rm {N}_{2}\) in a near-single-cycle laser pulse. Phys. Rev. A 88, 023418 (2013)
Lein, M., Gross, E.K.U., Engel, V.: Intense-field double ionization of helium: identifying the mechanism. Phys. Rev. Lett. 85, 4707–4710 (2000)
Lewenstein, M., Balcou, Ph, Ivanov, MYu., L’Huillier, A., Corkum, P.B.: Theory of high-harmonic generation by low-frequency laser fields. Phys. Rev. A 49, 2117–2132 (1994)
Li, Y.B., Wang, X., Yu, B.H., Tang, Q.B., Wang, G.H., Wan, J.G.: Nonsequential double ionization with mid-infrared laser fields. Sci. Rep. 6, 37413 (2016)
Li, L., Wang, Z., Li, F., Long, H.: Efficient generation of highly elliptically polarized attosecond pulses. Opt. Quantum Electron. 49, 73 (2017)
Liu, X., Rottke, H., Eremina, E., Sandner, W., Goulielmakis, E., Keeffe, K.O., Lezius, M., Krausz, F., Lindner, F., Schätzel, M.G., Paulus, G.G., Walther, H.: Nonsequential double ionization at the single-optical-cycle limit. Phys. Rev. Lett. 93, 263001 (2004)
Liu, Y.Q., Tschuch, S., Rudenko, A., Dürr, M., Siegel, M., Morgner, U., Moshammer, R., Ullrich, J.: Strong-field double ionization of Ar below the recollision threshold. Phys. Rev. Lett. 101, 053001 (2008)
Liu, J.L., Li, Y.F., Ding, L., Zhang, C.F., Fang, J.X.: A simple method for afterpulse probability measurement in high-speed single-photon detectors. Infrared Phys. Technol. 77, 451–455 (2016)
Liu, X., Li, P.C, Zhu, X.S., Lan, P.F., Zhang, Q.B., Lu, P.X.: Probing the π-π* transitions in conjugated compounds with an infrared femtosecond laser. Phys. Rev. A 95, 033421 (2017)
Ma, X.M., Zhou, Y.M., Lu, P.X.: Multiple recollisions in strong-field nonsequential double ionization. Phys. Rev. A 93, 013425 (2016)
Mauger, F., Chandre, C., Uzer, T.: Strong field double ionization: the phase space perspective. Phys. Rev. Lett. 102, 173002 (2009)
Maxwell, A.S., de Morisson, Figueira, Faria, C.: Controlling below-threshold nonsequential double ionization via quantum interference. Phys. Rev. Lett. 116, 143001 (2016)
Moshammer, R., Feuerstein, B., Schmitt, W., Dorn, A., Schröter, C.D., Ullrich, J., Rottke, H., Trump, C., Wittmann, M., Korn, G., Hoffmann, K., Sandner, W.: Momentum distributions of \(\rm {Ne^{n+}}\) ions created by an intense ultrashort laser pulse. Phys. Rev. Lett. 84, 447–450 (2000)
Panfili, R., Eberly, J.H., Haan, S.L.: Comparing classical and quantum simulations of strong-field double-ionization. Opt. Expr. 8, 431–435 (2001)
Parker, J.S., Doherty, B.J.S., Taylor, K.T., Schultz, K.D., Blaga, C.I., DiMauro, F.: High-energy cutoff in the spectrum of strong-field nonsequential double ionization. Phys. Rev. Lett. 96, 133001 (2006)
Pullen, M.G., Wolter, B., Wang, X., Tong, X.M., Sclafani, M., Baudisch, M., Pires, H., Schröter, C.D. Ullrich,, J., Pfeifer, T., Moshammer, R., Eberly, J.H., Biegert, J.: Transition from non-sequential to sequential double ionisation in many-electron systems. arXiv:1602.07840 (2016)
Qin, M.Y., Zhu, X.S.: Molecular orbital imaging for partially aligned molecules. Opt. Laser Technol. 87, 79–86 (2017)
Rudenko, A., Zrost, K., Feuerstein, B., de Jesus, V.L.B., Schröter, C.D., Moshammer, R., Ullrich, J.: Correlated multielectron dynamics in ultrafast laser pulse interactions with atoms. Phys. Rev. Lett. 93, 253001 (2004)
Rudenko, A., de Jesus, V.L.B., Ergler, Th, Zrost, K., Feuerstein, B., Schröter, C.D., Moshammer, R., Ullrich, J.: Correlated two-electron momentum spectra for strong-field nonsequential double ionization of He at 800 nm. Phys. Rev. Lett. 99, 263003 (2007)
Rudenko, A., Ergler, Th, Zrost, K., Feuerstein, B., de Jesus, V.L.B., Schröer, C.D., Moshammer, R., Ullrich, J.: Intensity-dependent transitions between different pathways of strong-field double ionization. Phys. Rev. A 78, 015403 (2008)
Schöffler, M.S., Xie, X.H., Wustelt, P., Moller, M., Roither, S., Kartashov, D., Sayler, A.M., Baltuska, A., Paulus, G.G., Kitzler, M.: Laser-subcycle control of sequential double-ionization dynamics of helium. Phys. Rev. A 93, 063421 (2016)
Staudte, A., Ruiz, C., Schöffler, M., Schössler, S., Zeidler, D., Weber, Th, Meckel, M., Villeneuve, D.M., Corkum, P.B., Becker, A., Dörner, R.: Binary and recoil collisions in strong field double ionization of helium. Phys. Rev. Lett. 99, 263002 (2007)
Sun, X.F., Li, M., Ye, D.F., Xin, G.G., Fu, L.B., Xie, X.G., Deng, Y.K., Wu, C.Y., Liu, J., Liu, Y.Q.: Mechanisms of strong-field double ionization of Xe. Phys. Rev. Lett. 113, 103001 (2014)
Tanaka, K., Miyamura, K., Akishima, K., Tonokura, K., Konno, M.: Sensitive measurements of trace gas of formaldehyde using a mid-infrared laser spectrometer with a compact multi-pass cell. Infrared Phys. Technol. 79, 1–5 (2016)
Tang, Q.B., Zhou, Y.M., Huang, C., Liao, Q., Lu, P.X.: Correlated electron dynamics in nonsequential double ionization of molecules by mid-infrared fields. Opt. Express 20, 19580–19588 (2012)
Tong, A.H., Zhou, Y.M., Lu, P.X.: Resolving subcycle electron emission in strong-field sequential double ionization. Opt. Express 23, 15774–15783 (2015)
Tong, A.H., Zhou, Y.M., Lu, P.X.: Bifurcation of ion momentum distributions in sequential double ionization by elliptically polarized laser pulses. Opt. Quantum Electron. 49, 77 (2017)
Walker, B., Sheehy, B., DiMauro, L.F., Agostini, P., Schafer, K.J., Kulander, K.C.: Precision measurement of strong field double ionization of helium. Phys. Rev. Lett. 73, 1227–1230 (1994)
Wang, Z., Li, M., Zhou, Y.M., Lan, P.F., Lu, P.X.: Correlated electron-nuclear dynamics in above-threshold multiphoton ionization of asymmetric molecule. Sci. Rep. 7, 42585 (2017a)
Wang, F., Qin, C.Z., Wang, B., Long, H., Wang, K., Lu, P.X.: Rabi Oscillations of Plasmonic Supermodes in Graphene Multilayer Arrays. IEEE J Sel Top Quant 23, 1 (2017b)
Wang, X., Eberly, J.H.: Effects of elliptical polarization on strong-field short-pulse double ionization. Phys. Rev. Lett. 103, 103007 (2009)
Weber, Th, Giessen, H., Weckenbrock, M., Urbasch, G., Staudte, A., Spielberger, L., Jagutzki, O., Mergel, V., Vollmer, M., Dörner, R.: Correlated electron emission in multiphoton double ionization. Nat. (Lond.) 405, 658–661 (2000)
Weckenbrock, M., Becker, A., Staudte, A., Kammer, S., Smolarski, M., Bhardwaj, V.R., Rayner, D.M., Villeneuve, D.M., Corkum, P.B., Dörner, R.: Electron-electron momentum exchange in strong field double ionization. Phys. Rev. Lett. 91, 123004 (2003)
Wolter, B., Pullen, M.G., Baudisch, M., Sclafani, M., Hemmer, M., Senftleben, A., Schröter, C.D., Ullrich, J., Moshammer, R., Biegert, J.: Strong-field physics with mid-IR fields. Phys. Rev. X 5, 021034 (2015)
Xu, T.T., Ben, S., Wang, T., Zhang, J., Guo, J., Liu, X.S.: Exploration of the nonsequential double-ionization process of a Mg atom with different delay time in few-cycle circularly polarized laser fields. Phys. Rev. A 92, 033405 (2015)
Ye, D.F., Liu, X., Liu, J.: Classical trajectory diagnosis of a fingerlike pattern in the correlated electron momentum distribution in strong field double ionization of helium. Phys. Rev. Lett. 101, 233003 (2008)
Yuan, Z.Q., Ye, D.F., Liu, J., Fu, B.: Inner-shell electron effects in strong-field double ionization of Xe. Phys. Rev. A 93, 063409 (2016)
Zhai, C.Y., He, L.X., Lan, P.F., Zhu, X.S., Li, Y., Wang, F., Shi, W.J., Zhang, Q.B., Lu, X.: Coulomb-corrected molecular orbital tomography of nitrogen. Sci. Rep. 6, 23236 (2016)
Zhai, C.Y., Zhu, X.S., Lan, P.F., Wang, F., He, L.X, Shi, W.J., Li, Y., Li, M., Zhang, Q.B., Lu, P.X.: Diffractive molecular-orbital tomography. Phys. Rev. A 95, 033420 (2017)
Zhang, L., Xie, X.H., Roither, S., Zhou, Y.M., Lu, P.X., Kartashov, D., Schöffler, M., Shafir, D., Corkum, P.B., Baltuška, A., Staudte, A., Kitzler, M.: Subcycle control of electron-electron correlation in double ionization. Phys. Rev. Lett. 112, 193002 (2014)
Zhang, X.F., Zhu, X.S., Liu, X., Wang, D., Zhang, Q.B., Lan, P.F., Lu, P.X.: Ellipticity-tunable attosecond XUV pulse generation with a rotating bichromatic circularly polarized laser field. Opt. Lett. 42, 1027–1030 (2017)
Zhou, Y.M., Liao, Q., Lu, P.X.: Mechanism for high-energy electrons in nonsequential double ionization below the recollision-excitation threshold. Phys. Rev. A 80, 023412 (2009)
Zhou, Y.M., Liao, Q., Lu, P.X.: Asymmetric electron energy sharing in strong-field double ionization of helium. Phys. Rev. A 82, 053402 (2010)
Zhou, Y.M., Huang, C., Lu, X.: Coulomb-tail effect of electron-electron interaction on nonsequential double ionization. Phys. Rev. A 84, 023405 (2011a)
Zhou, Y.M., Huang, C., Tong, A.H., Liao, Q., Lu, P.X.: Correlated electron dynamics in nonsequential double ionization by orthogonal two-color laser pulses. Opt. Express 19, 2301–2308 (2011b)
Zhou, Y.M., Huang, C., Liao, Q., Lu, P.X.: Classical simulations including electron correlations for sequential double ionization. Phys. Rev. Lett. 109, 053004 (2012)
Zhou, Y.M., Tolstikhin, O.I., Morishita, T.: Near-forward rescattering photoelectron holography in strong-field ionization: extraction of the phase of the scattering amplitude. Phys. Rev. Lett. 116, 173001 (2016)
Zhu, X.S., Lan, P.F., Liu, K.L., Li, Y., Liu, X., Zhang, Q.B., Barth, I., Lu, P.X.: Helicity sensitive enhancement of strong-field ionization in circularly polarized laser fields. Opt. Express 24, 4196–4209 (2016)
Acknowledgements
This work was supported by the National Natural Science Foundation of China under Grant Nos. 11622431, 61405064 and 11234004. Numerical simulations presented in this paper were carried out using the High Performance Computing Center experimental testbed in SCTS/CGCL (see http://grid.hust.edu.cn/hpcc).
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Ma, X., Li, M., Zhou, Y. et al. Nonsequential double ionization of Xe by mid-infrared laser pulses. Opt Quant Electron 49, 170 (2017). https://doi.org/10.1007/s11082-017-1002-y
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DOI: https://doi.org/10.1007/s11082-017-1002-y