Benchmark for two-photon ionization of atoms with generalized Sturmian functions
The European Physical Journal D - Atomic, Molecular, Optical and Plasma Physics - Tập 70 - Trang 1-11 - 2016
Tóm tắt
The description with traditional methods of the single or multiple ionization of atoms
and molecules by two or more successive photons requires some special treatment.
Difficulties occur when a spatially non-decaying driven term appears in the
Schrödinger-like non-homogeneous equation for the scattering wave function. We propose
using the intrinsic physical and mathematical properties of generalized Sturmian functions
to efficiently deal with the Dalgarno-Lewis second order equation. In contrast to other
approaches, our methodology provides a practical way to extract the transition amplitude
from the asymptotic behavior of the scattering wave function, and this without requiring
any further projection onto some final approximate state. As an illustration, the hydrogen
case is studied in details, for both pulsed and monochrome laser radiation fields. The
successful comparison with analytical and time-dependent solutions provides a benchmark,
and allows us to master the numerical aspects of the methodology. Appropriately chosen
generalized Sturmian functions manage to easily reproduce the beat-type asymptotic
behavior observed in the photoelectron wave function after absorption by the atom of two
successive photons.
Tài liệu tham khảo
P. Sándor, V. Tagliamonti, A. Zhao, T. Rozgonyi, M. Ruckenbauer, P. Marquetand, T. Weinacht, Phys. Rev. Lett. 116, 063002 (2016)
R.E. Goetz, A. Karamatskou, R. Santra, C.P. Koch, Phys. Rev. A 93, 013413 (2016)
J. Miao, T. Ishikawa, I.K. Robinson, M.M. Murnane, Science 348, 530 (2015)
H. Öström et al., Science 347, 978 (2015)
L.J. Zipp, A. Natan, P.H. Bucksbaum, Optica 1, 361 (2014)
M. Chini, K. Zhao, Z. Chang, Nat. Photon. 8, 178 (2014)
K.T. Kim, D.M. Villeneuve, P.B. Corkum, Nat. Photon. 8, 187 (2014)
F. Calegari, D. Ayuso, A. Trabattoni, L. Belshaw, S. De Camillis, S. Anumula, F. Frassetto, L. Poletto, A. Palacios, P. Decleva, J.B. Greenwood, F. Martín, M. Nisoli, Science 346, 336 (2014)
C. Ott, A. Kaldun, P. Raith, K. Meyer, M. Laux, J. Evers, C.H. Keitel, C.H. Greene, T. Pfeifer, Science 340,716 (2013)
K. Klünder, J.M. Dahlström, M. Gisselbrecht, T. Fordell, M. Swoboda, D. Guénot, P. Johnsson, J. Caillat, J. Mauritsson, A. Maquet, R. Taïeb, A. L’Huillier, Phys. Rev. Lett. 106, 143002 (2011)
J. Mauritsson, T. Remetter, M. Swoboda, K. Klünder, A. LHuillier, K.J. Schafer, O. Ghafur, F. Kelkensberg, W. Siu, P. Johnsson, M.J.J. Vrakking, I. Znakovskaya, T. Uphues, S. Zherebtsov, M.F. Kling, F. Lepine, E. Benedetti, F. Ferrari, G. Sansone, M. Nisoli, Phys. Rev. Lett. 105, 053001 (2010)
P. Emma, K. Bane, M. Cornacchia, Z. Huang, H. Schlarb, G. Stupakov, D. Walz, Phys. Rev. Lett. 92, 074801 (2004)
C.M. Granados-Castro, L.U. Ancarani, G. Gasaneo, D.M. Mitnik, Adv. Quantum Chem. 73, 3 (2016)
Th. Weber, H. Giessen, M. Weckenbrock, G. Urbasch, A. Staudte, L. Spielberger, O. Jagutzki, V. Mergel, M. Vollmer, R. Dröner, Nature 405, 658 (2000)
E. Goulielmakis, Z. Loh, A. Wirth, R. Santra, N. Rohringer, V.S. Yakovlev, S. Zherebtsov, T. Pfeifer, A.M. Azzeer, M.F. Kling, S.R. Leone, F. Krausz, Nature 466, 739 (2010)
M. Holler, F. Schapper, L. Gallmann, U. Keller, Phys. Rev. Lett. 106, 123601 (2011)
C. Ott, A. Kaldun, L. Argenti, P. Raith, K. Meyer, M. Laux, Y. Zhang, A. Blattermann, S. Hagstotz, T. Ding, R. Heck, J. Madroñero, F. Martín, T. Pfeifer, Nature 516, 374 (2014)
M.G. Pullen, W.C. Wallace, D.E. Laban, A.J. Palmer, G.F. Hanne, A.N. Grum-Grzhimailo, K. Bartschat, I. Ivanov, A. Kheifets, D. Wells, H.M. Quiney, X.M. Tong, I.V. Litvinyuk, R.T. Sang, D. Kielpinski, Phys. Rev. A 87, 053411 (2013)
D.A. Horner, F. Morales, T.N. Rescigno, F. Martín, W. McCurdy, Phys. Rev. A 76, 030701(R) (2007)
G. Gasaneo, L.U. Ancarani, D.M. Mitnik, J.M. Randazzo, A.L. Frapiccini, F.D. Colavecchia, Adv. Quantum Chem. 67, 153 (2013)
D.M. Mitnik, F.D. Colavecchia, G. Gasaneo, J.M. Randazzo, Comp. Phys. Commun. 182, 1145 (2011)
J.M. Randazzo, D.M. Mitnik, G. Gasaneo, L.U. Ancarani, F.D. Colavecchia, Eur. Phys. J. D 69, 189 (2015)
L. Malegat, H. Bachau, A. Hamido, B. Piraux, J. Phys. B 43, 245601 (2010)
L. Malegat, P. Selles, A. Kazansky, Phys. Rev. A 60, 3667 (1999)
B.H. Bransden, C.J. Joachain, Physics of Atoms and Molecules, 2nd edn. (Pearson Education Limited, Malaysia, 2003)
M. Karplus, H.J. Kolker, J. Chem. Phys. 39, 1493 (1963)
P.W. Langhoff, S.T. Epstein, M. Karplus, Rev. Mod. Phys. 3, 602 (1972)
A. Palacios, C.W. McCurdy, T.N. Rescigno, Phys. Rev. A 76, 043420 (2007)
A. Palacios, C.W. McCurdy, T.N. Rescigno, Phys. Rev. A 77, 032716 (2008)
C.M. Granados-Castro, J.L. Sanz-Vicario, J. Phys. B 46, 055601 (2013)
F.H.M. Faisal, Theory of Multiphoton Processes, 2nd edn. (Springer Science & Business Media, New York, 1987)
G. Gasaneo, L.U. Ancarani, in Press
J.M. Harriman, Phys. Rev. 101, 594 (1956)
T.N. Rescigno, V. McKoy, Phys. Rev. A 12, 522 (1975)
J.L. Sanz-Vicario, A. Palacios, J.C. Cardona, H. Bachau, F. Martín, J. Electron Spectrosc. Relat. Phenom. 161, 182 (2007)
D.G. Arbó, private communication
E. Karule, B. Moine, J. Phys. B 36, 1963 (2003)
M.J. Ambrosio, L.U. Ancarani, A.I. Gómez, G. Gasaneo, D.M. Mitnik, submitted to J. Math. Phys.