The two-photon double ionization (TPDI) dynamics of helium by chirped attosecond pulses are theoretically studied by solving the two-electron time-dependent Schrödinger equation in its full dimensions. We show that both the differential and the total double ionization probability can be significantly controlled by adjusting the chirp. The dependence of the TPDI on the chirp can be quite different for different photon energies, relying on the central photon energy being in the sequential region, nonsequential region, or translation region. The physics which lead to the chirp dependence for different photon energies are addressed. Present findings are well reproduced by a model based on the second-order time-dependent perturbation theory.
We provide an efficient and accurate numerical method to deduce the recoil-ion-momentum spectrum of He from the two-electron momentum distribution, which is obtained by solving the full-dimensional time-dependent Schrödinger equation. We apply this method to study the ion spectra of one-photon double ionization and two-photon sequential and nonsequential double ionization of He. The present calculations agree rather well with the absolute magnitude of the recoil-ion triply differential cross sections published recently [S. A. Abdel-Naby, M. S. Pindzola, and J. Colgan, Phys. Rev. A 86, 013424 (2012); S. A. Abdel-Naby et al., ibid. 87, 063425 (2013)]. Nevertheless, significant differences are also found in several detailed features of the spectra and straightforward physical analysis indicates that the present results appear more reasonable, which should be confirmed by future experiments or additional independent calculations.
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