Artículo

Shvetsov-Shilovski, N.I.; Lein, M.; Madsen, L.B.; Räsänen, E.; Lemell, C.; Burgdörfer, J.; Arbó, D.G.; Tokési, K. "Semiclassical two-step model for strong-field ionization" (2016) Physical Review A. 94(1)
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Abstract:

We present a semiclassical two-step model for strong-field ionization that accounts for path interferences of tunnel-ionized electrons in the ionic potential beyond perturbation theory. Within the framework of a classical trajectory Monte Carlo representation of the phase-space dynamics, the model employs the semiclassical approximation to the phase of the full quantum propagator in the exit channel. By comparison with the exact numerical solution of the time-dependent Schrödinger equation for strong-field ionization of hydrogen, we show that for suitable choices of the momentum distribution after the first tunneling step, the model yields good quantitative agreement with the full quantum simulation. The two-dimensional photoelectron momentum distributions, the energy spectra, and the angular distributions are found to be in good agreement with the corresponding quantum results. Specifically, the model quantitatively reproduces the fanlike interference patterns in the low-energy part of the two-dimensional momentum distributions, as well as the modulations in the photoelectron angular distributions. © 2016 American Physical Society.

Registro:

Documento: Artículo
Título:Semiclassical two-step model for strong-field ionization
Autor:Shvetsov-Shilovski, N.I.; Lein, M.; Madsen, L.B.; Räsänen, E.; Lemell, C.; Burgdörfer, J.; Arbó, D.G.; Tokési, K.
Filiación:Institut für Theoretische Physik, Centre for Quantum Engineering and Space-Time Research, Leibniz Universität Hannover, Hannover, D-30167, Germany
Department of Physics and Astronomy, Aarhus University, Århus C, 8000, Denmark
Department of Physics, Tampere University of Technology, Tampere, FI-33101, Finland
Institute for Theoretical Physics, Vienna University of Technology, Vienna, A-1040, Austria
Institute for Nuclear Research, Hungarian Academy of Sciences, Debrecen, H-4001, Hungary
Institute for Astronomy and Space Physics, IAFE (UBA-Conicet), Buenos Aires, Argentina
ELI-HU Nonprofit Ltd., Dugonics tér 13, Szeged, 6720, Hungary
Palabras clave:Angular distribution; Ionization potential; Momentum; Perturbation techniques; Phase space methods; Photoelectron spectroscopy; Photoelectrons; Photons; Quantum chemistry; Classical trajectory monte carlo; Exact numerical solutions; Interference patterns; Momentum distributions; Photoelectron angular distributions; Quantitative agreement; Semi-classical approximation; Strong field ionization; Ionization
Año:2016
Volumen:94
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.94.013415
Título revista:Physical Review A
Título revista abreviado:Phys. Rev. A
ISSN:24699926
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v94_n1_p_ShvetsovShilovski

Referencias:

  • Delone, N.B., Krainov, V.P., (2000) Multiphoton Processes in Atoms, , (Springer, Berlin), Chap. 9
  • Becker, W., Grasbon, F., Kopold, R., Milošević, D.B., Paulus, G.G., Walther, H., Above-threshold ionization: From classical features to quantum effects (2002) Adv. At. Mol. Opt. Phys., 48, p. 35
  • Milošević, D.B., Ehlotzky, F., Scattering and reaction processes in powerful laser fields (2003) Adv. At. Mol. Opt. Phys., 49, p. 373
  • Becker, A., Faisal, F.H.M., Intense-field many-body S-matrix theory (2005) J. Phys. B: At. Mol. Opt. Phys., 38, p. R1
  • Figueira De Morisson Faria, C., Liu, X., Electron-electron correlation in strong laser fields (2011) J. Mod. Opt., 58, p. 1076
  • Keldysh, L.V., Ionization in the field of a strong electromagnetic wave (1964) Zh. Eksp. Teor. Fiz., 47, p. 1945
  • Keldysh, L.V., (1965) Sov. Phys. JETP, 20, p. 1307
  • Faisal, F.H.M., Multiple absorption of laser photons by atoms (1973) J. Phys. B.: At. Mol. Opt. Phys., 6, p. L89
  • Reiss, H.R., Effect of an intense electromagnetic field on a weakly bound system (1980) Phys. Rev. A, 22, p. 1786
  • Landau, L.D., Lifshitz, E.M., (1965) Quantum Mechanics Non-relativistic Theory, , 2nd ed. (Pergamon, Oxford, U.K.)
  • Perelomov, A.M., Popov, V.S., Terent'Ev, M.V., Ionization of atoms in an alternating electric field (1966) Zh. Eksp. Teor. Fiz., 50, p. 1393
  • Perelomov, A.M., Popov, V.S., Terent'Ev, M.V., (1966) Sov. Phys. JETP, 23, p. 924
  • Ammosov, M.V., Delone, N.B., Krainov, V.P., Tunnel ionization of complex atoms and of atomic ions in an alternating electromagnetic field (1986) Zh. Eksp. Teor. Fiz., 91, p. 2008
  • Ammosov, M.V., Delone, N.B., Krainov, V.P., (1986) Sov. Phys. JETP, 64, p. 1191
  • Van Linden Van Den Heuvell, H.B., Muller, H.G., (1988) Multiphoton Processes, , edited by S. J. Smith and P. L. Knight (Cambrige University Press, Cambrige, U.K.)
  • Gallagher, T.F., Above-Threshold Ionization in Low-Frequency Limit (1988) Phys. Rev. Lett., 61, p. 2304
  • Corkum, P.B., Burnett, N.H., Brunel, F., Above-Threshold Ionization in the Long-Wavelength Limit (1989) Phys. Rev. Lett., 62, p. 1259
  • Kulander, K.C., Schafer, K.J., Krause, J.L., (1993) Super-Intense Laser-Atom Physics, , edited by B. Pireaux, A. L'Hullier, and K. Rzazewski (Plenum, New York)
  • Corkum, P.B., Plasma Perspective on Strong Field Multiphoton Ionization (1993) Phys. Rev. Lett., 71, p. 1994
  • Muller, H.G., An efficient propagation scheme for the time-dependent Schrödinger equation in the velocity gauge (1999) Laser Phys., 9, p. 138
  • Bauer, D., Koval, P., Qprop: A Schrödinger-solver for intense laseratom interaction (2006) Comput. Phys. Commun., 174, p. 396
  • Krause, J.L., Schafer, K.J., Kulander, K.C., High-Order Harmonic Generation from Atoms and Ions in the High Intensity Regime (1992) Phys. Rev. Lett., 68, p. 3535
  • Lewenstein, M., Balcou, Ph., Yu. Ivanov, M., L'Huillier, A., Corkum, P.B., Theory of high-harmonic generation by low-frequency laser fields (1994) Phys. Rev. A, 49, p. 2117
  • Paulus, G.G., Nicklich, W., Xu, H., Lambropoulos, P., Walther, H., Plateau in above Threshold Ionization Spectra (1994) Phys. Rev. Lett., 72, p. 2851
  • Paulus, G.G., Becker, W., Nicklich, W., Walther, H., Rescattering effects in above-threshold ionization: A classical model (1994) J. Phys. B, 27, p. L703
  • Figueira De Morisson Faria, C., Becker, W., Quantum-orbit analysis of nonsequential double ionization (2003) Laser Phys., 13, p. 1196
  • Milošević, D.B., Becker, W., Classical cutoffs for laser-induced nonsequential double ionization (2003) Phys. Rev. A, 68, p. 065401
  • Brabec, T., Yu. Ivanov, M., Corkum, P.B., Coulomb focusing in intense field atomic processes (1996) Phys. Rev. A, 54, p. R2551. , (R)
  • Dimitriou, K., Arbó, D.G., Yoshida, S., Persson, E., Burgdörfer, J., Origin of the double-peak structure in the momentum distribution of ionization of hydrogen atoms driven by strong laser fields (2004) Phys. Rev. A, 70, p. 061401. , (R)
  • Blaga, C.I., Catoire, F., Colosimo, P., Paulus, G.G., Muller, H.G., Agostini, P., Dimauro, L.F., Strong-field photoionization revisited (2009) Nat. Phys., 5, p. 335
  • Quan, W., Lin, Z., Wu, M., Kang, H., Liu, H., Liu, X., Chen, J., Chen, S.G., Classical Aspects in Above-Threshold Ionization with a Midinfrared Strong Laser Field (2009) Phys. Rev. Lett., 103, p. 093001
  • Liu, C., Hatsagortsyan, K.Z., Origin of Unexpected Low Energy Structure in Photoelectron Spectra Induced by Midinfrared Strong Laser Fields (2010) Phys. Rev. Lett., 105, p. 113003
  • Yan, T.-M., Popruzhenko, S.V., Vrakking, M.J.J., Bauer, D., Low-Energy Structures in Strong Field Ionization Revealed by Quantum Orbits (2010) Phys. Rev. Lett., 105, p. 253002
  • Kästner, A., Saalmann, U., Rost, J.M., Electron-Energy Bunching in Laser-Driven Soft Recollisions (2012) Phys. Rev. Lett., 108, p. 033201
  • Lemell, C., Dimitriou, K.I., Tong, X.M., Nagele, S., Kartashov, D.V., Burgdörfer, J., Gräfe, S., Low-energy peak structure in strong-field ionization by midinfrared laser pulses: Two-dimensional focusing by the atomic potential (2012) Phys. Rev. A, 85, p. 011403. , (R)
  • Lemell, C., Burgdörfer, J., Dimitriou, K.I., Arbó, D.G., Tong, X.-M., Classical-quantum correspondence in atomic ionization by midinfrared pulses: Multiple peak and interference structures (2013) Phys. Rev. A, 87, p. 013421
  • Wolter, B., Lemell, C., Baudish, M., Pullen, M.G., Tong, X.-M., Hemmer, M., Senftleben, A., Burgdörfer, J., Formation of very-low-energy states crossing the ionization threshold of argon atoms in strong mid-infrared fields (2014) Phys. Rev. A, 90, p. 063424
  • Becker, W., Goreslavski, S.P., Milošević, D.B., Paulus, G.G., Low-energy electron rescattering in laser-induced ionization (2014) J. Phys. B: At. Mol. Opt. Phys., 47, p. 204022
  • Dimitrovski, D., Madsen, L.B., Theory of low-energy photoelectrons in strong-field ionization by laser pulses with large ellipticity (2015) Phys. Rev. A, 91, p. 033409
  • Pfeiffer, A.N., Cirelli, C., Smolarski, M., Dimitrovski, D., Abu-Samha, M., Madsen, L.B., Keller, U., Attoclock reveals geometry for laser-induced tunneling (2012) Nat. Phys., 8, p. 76
  • Maurer, J., Dimitrovski, D., Christensen, L., Madsen, L.B., Stapelfeldt, H., Molecular-Frame 3D Photoelectron Momentum Distributions by Tomographic Reconstruction (2012) Phys. Rev. Lett., 109, p. 123001
  • Shvetsov-Shilovski, N.I., Dimitrovski, D., Madsen, L.B., Ionization in elliptically polarized pulses: Multielectron polarization effects and asymmetry of photoelectron momentum distributions (2012) Phys. Rev. A, 85, p. 023428
  • Boge, R., Cirelli, C., Landsman, A.S., Heuser, S., Ludwig, A., Maurer, J., Weger, M., Keller, U., Probing Nonadiabatic Effects in Strong-Field Tunnel Ionization (2013) Phys. Rev. Lett., 111, p. 103003
  • Hofmann, C., Landsman, A.S., Zielinski, A., Cirelli, C., Zimmermann, T., Scrinzi, A., Keller, U., Interpreting electron-momentum distributions and nonadiabaticity in strong-field ionization (2014) Phys. Rev. A, 90, p. 043406
  • Geng, J.-W., Qin, L., Li, M., Xiong, W.-H., Liu, Y., Gong, Q., Peng, L.-Y., Nonadiabatic tunneling ionization of atoms in elliptically polarized laser fields (2014) J. Phys. B: At. Mol. Opt. Phys., 47, p. 204027
  • Shvetsov-Shilovski, N.I., Goreslavski, S.P., Popruzhenko, S.V., Becker, W., Ellipticity effects and the contributions of long orbits in nonsequential double ionization of atoms (2008) Phys. Rev. A, 77, p. 063405
  • Wang, X., Eberly, J.H., Effects of Elliptical Polarization on Strong-Field Short-Pulse Double Ionization (2009) Phys. Rev. Lett., 103, p. 103007
  • Hao, X.L., Wang, G.Q., Jia, X.Y., Li, W.D., Liu, J., Chen, J., Nonsequential double ionization of Ne in an elliptically polarized intense laser field (2009) Phys. Rev. A, 80, p. 023408
  • Mauger, F., Chandre, C., Uzer, T., Recollisions and Correlated Double Ionization with Circularly Polarized Light (2010) Phys. Rev. Lett., 105, p. 083002
  • Emmanouilidou, A., Tchitchekova, D.S., Strongly driven molecules: Traces of soft recollisions for intermediate intensities in the over-The-barrier regime (2011) Phys. Rev. A, 84, p. 033407
  • Shvetsov-Shilovski, N.I., Dimitrovski, D., Madsen, L.B., Ehrenfest's theorem and the validity of the two-step model for strong-field ionization (2013) Phys. Rev. A, 87, p. 013427
  • Korneev, Ph.A., Popruzhenko, S.V., Goreslavski, S.P., Yan, T.-M., Bauer, D., Becker, W., Kübel, M., Paulus, G.G., Interference Carpets in Above-Threshold Ionization: From the Coulomb-Free to the Coulomb-Dominated Regime (2012) Phys. Rev. Lett., 108, p. 223601
  • Arbó D, G., Persson, E., Burgdörfer, J., Time double-slit interferences in strong-field tunneling ionization (2006) Phys. Rev. A, 74, p. 063407
  • Gopal, R., Simeonidis, K., Moshammer, R., Ergler, Th., Dürr, M., Kurka, M., Kühnel, K.-U., Ullrich, J., Three-Dimensional Momentum Imaging of Electron Wave Packet Interference in Few-Cycle Laser Pulses (2009) Phys. Rev. Lett., 103, p. 053001
  • Arbó D, G., Ishikawa, K.L., Schiessl, K., Persson, E., Burgdörfer, J., Intracycle and intercycle interferences in above-threshold ionization: The time grating (2010) Phys. Rev. A, 81, p. 021403. , (R)
  • Li, M., Geng, J.-W., Liu, H., Deng, Y., Wu, C., Peng, L.-Y., Gong, Q., Liu, Y., Classical-Quantum Correspondence for Above-Threshold Ionization (2014) Phys. Rev. Lett., 112, p. 113002
  • Minami, T., Reinhold, C.O., Burgdörfer, J., Quantum-trajectory Monte Carlo method for internal-state evolution of fast ions traversing amorphous solids (2003) Phys. Rev. A, 67, p. 022902
  • Li, M., Sun, X., Xie, X., Shao, Y., Deng, Y., Wu, C., Gong, Q., Liu, Y., Revealing backward rescattering photoelectron interference of molecules in strong infrared laser fields (2015) Sci. Rep., 5, p. 8519
  • Shao, Y., Liu, M.-M., Sun, X., Xie, X., Wang, P., Deng, Y., Wu, C., Liu, Y., Isolating resonant excitation from above-threshold ionization (2015) Phys. Rev. A, 92, p. 013415
  • Geng, J.-W., Xiong, W.-H., Xiao, X.-R., Peng, L.-Y., Gong, Q., Nonadiabatic Electron Dynamics in Orthogonal Two-Color Laser Fields with Comparable Intensities (2015) Phys. Rev. Lett., 115, p. 193001
  • Popruzhenko, S.V., Bauer, D., Strong field approximation for systems with Coulomb interaction (2008) J. Mod. Opt., 55, p. 2573
  • Popruzhenko, S.V., Paulus, G.G., Bauer, D., Coulomb-corrected quantum trajectories in strong-field ionization (2008) Phys. Rev. A, 77, p. 053409
  • Perelomov, A.M., Popov, V.S., Ionization of atoms in an alternating electrical field III (1967) Zh. Eksp. Teor. Fiz., 52, p. 514
  • Perelomov, A.M., Popov, V.S., (1967) Sov. Phys. JETP, 25, p. 336
  • Tannor, D.J., (2007) Introduction to Quantum Mechanics: A Time-Dependent Perspective, , (University Science Books, Sausalito, California)
  • Grossmann, F., (2008) Theoretical Femtosecond Physics. Atoms and Molecules in Srong Laser Fields, , (Springer-Verlag, Berlin, Heidelberg)
  • Miller, W.H., Classical-limit quantum mechanics and the theory of molecular collisions (1971) Adv. Chem. Phys., 25, p. 69
  • Walser, M., Brabec, T., Semiclassical path integral theory of strong-laser-field physics (2003) J. Phys. B, 36, p. 3025
  • Spanner, M., Strong Field Tunnel Ionization by Real-Valued Classical Trajectories (2003) Phys. Rev. Lett., 90, p. 233005
  • Yoshida, S., Grossmann, F., Persson, E., Burgdörfer, J., Semiclassical analysis of quantum localization of the periodically kicked Rydberg atom (2004) Phys. Rev. A, 69, p. 043410
  • Milošević, D.B., Paulus, G.G., Bauer, D., Becker, W., Above-threshold ionization by few-cycle pulses (2006) J. Phys. B, 39, p. R203
  • Yan, T., Bauer, D., Sub-barrier Coulomb effects on the interference pattern in tunneling-ionization photoelectron spectra (2012) Phys. Rev. A, 86, p. 053403
  • Salières, P., Carré, B., Le Déroff, L., Grasbon, F., Paulus, G.G., Walther, H., Kopold, R., Lewenstein, M., Feynman's path-integral approach for intense-laser-atom interactions (2001) Science, 292, p. 902
  • Yudin, G.L., Yu. Ivanov, M., Nonadiabatic tunnel ionization: Looking inside a laser cycle (2001) Phys. Rev. A, 64, p. 013409
  • Li, M., Geng, J.-W., Han, M., Liu, M.-M., Peng, L.-Y., Gong, Q., Liu, Y., Subcycle nonadiabatic strong-field tunneling ionization (2016) Phys. Rev. A, 93, p. 013402
  • Born, M., (1925) Vorlesungen Über Atommechanik, p. 243. , (Springer, Berlin), p
  • Schrödinger, E., (1926) Ann. Phys. (Berlin, Ger.), 385, p. 437
  • Bisgaard, C.Z., Madsen, L.B., Tunneling ionization of atoms (2004) Am. J. Phys., 72, p. 249
  • Dimitrovski, D., Martiny, C.P.J., Madsen, L.B., Strong-field ionization of polar molecules: Stark-shift-corrected strong-field approximation (2010) Phys. Rev. A, 82, p. 053404
  • Reinhold, C., Yoshida, S., Burgdörfer, J., Wyker, B., Mestayer, J., Dunning, F., Large-scale quantum coherence of nearly circular wave packets (2009) J. Phys. B, 42, p. 091003
  • Kay, K.G., Semiclassical initial value treatments of atoms and molecules (2005) Annu. Rev. Phys. Chem., 56, p. 255
  • Tong, X.-M., Wachter, G., Sato, S., Lemell, C., Yabana, K., Burgdörfer, J., Application of norm-conserving pseudopotentials to intense laser-matter interactions (2015) Phys. Rev. A, 92, p. 043422. , references therein
  • Shvetsov-Shilovski, N.I., Goreslavski, S.P., Popruzhenko, S.V., Becker, W., Capture into Rydberg states and momentum distributions of ionized electrons (2009) Laser Phys., 19, p. 1550
  • Landau, L.D., Lifshitz, E.M., (1969) Mechanics, , 2nd ed. (Pergamon, Oxford, U.K.)
  • Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes in Fortran 77: The Art of Scientific Computing, , 2nd ed. (Cambridge University Press, Cambridge, U.K.)
  • Tong, X.-M., Chu, S.I., Theoretical study of multiple high-order harmonic generation by intense ultrashort pulsed laser fields: A new generalized pseudospectral time-dependent method (1997) Chem. Phys., 217, p. 119
  • Tong, X.-M., Chu S -, I., Time-dependent approach to high-resolution spectroscopy and quantum dynamics of Rydberg atoms in crossed magnetic and electric fields (2000) Phys. Rev. A, 61, p. 031401. , (R)
  • Tong, X.-M., Lin, C.D., Empirical formula for static field ionization rates of atoms and molecules by lasers in the barrier-suppression regime (2005) J. Phys. B, 38, p. 2593
  • Schöller, O., Briggs, J.S., Dreizler, R.M., Coherent excitation of hydrogen atoms by proton impact (1986) J. Phys. B, 19, p. 2505
  • Messiah, A., (1965) Quantum Mechanics 1, , (North-Holland, New York)
  • Dionissopoulou, S., Mercouris, Th., Lyras, A., Nicolaides, C.A., Strong laser-field effects in hydrogen: High-order above-threshold ionization and photoelectron angular distributions (1997) Phys. Rev. A, 55, p. 4397
  • Arbó D, G., Yoshida, S., Persson, E., Dimitriou, K.I., Burgdörfer, J., Interference Oscillations in the Angular Distribution of Laser-Ionized Electrons Near Ionization Threshold (2006) Phys. Rev. Lett., 96, p. 143003
  • Arbó D, G., Persson, E., Dimitriou, K.I., Burgdörfer, J., Sub-Poissonian angular momentum distribution near threshold in atomic ionization by short laser pulses (2008) Phys. Rev. A, 78, p. 013406

Citas:

---------- APA ----------
Shvetsov-Shilovski, N.I., Lein, M., Madsen, L.B., Räsänen, E., Lemell, C., Burgdörfer, J., Arbó, D.G.,..., Tokési, K. (2016) . Semiclassical two-step model for strong-field ionization. Physical Review A, 94(1).
http://dx.doi.org/10.1103/PhysRevA.94.013415
---------- CHICAGO ----------
Shvetsov-Shilovski, N.I., Lein, M., Madsen, L.B., Räsänen, E., Lemell, C., Burgdörfer, J., et al. "Semiclassical two-step model for strong-field ionization" . Physical Review A 94, no. 1 (2016).
http://dx.doi.org/10.1103/PhysRevA.94.013415
---------- MLA ----------
Shvetsov-Shilovski, N.I., Lein, M., Madsen, L.B., Räsänen, E., Lemell, C., Burgdörfer, J., et al. "Semiclassical two-step model for strong-field ionization" . Physical Review A, vol. 94, no. 1, 2016.
http://dx.doi.org/10.1103/PhysRevA.94.013415
---------- VANCOUVER ----------
Shvetsov-Shilovski, N.I., Lein, M., Madsen, L.B., Räsänen, E., Lemell, C., Burgdörfer, J., et al. Semiclassical two-step model for strong-field ionization. Phys. Rev. A. 2016;94(1).
http://dx.doi.org/10.1103/PhysRevA.94.013415