Momentum distributions in time-dependent density functional theory: Product phase approximation for non-sequential double ionization in strong laser fields

Abstract

We investigate the possibility to deduce momentum space properties from time-dependent density functional calculations. Electron and ion momentum distributions after double ionization of a model Helium atom in a strong few-cycle laser pulse are studied. We show that, in this case, the choice of suitable functionals for the observables is considerably more important than the choice of the correlation potential in the time-dependent Kohn-Sham equations. By comparison with the solution of the time-dependent Schroedinger equation, the insufficiency of functionals neglecting electron correlation is demonstrated. We construct a functional of the Kohn-Sham orbitals, which in principle yields the exact momentum distributions of the electrons and the ion. The product-phase approximation is introduced, which reduces the problem of approximating this functional significantly.

8 pages, 5 figures, RevTeX4

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• Semiclassical Electron Correlation in Density-Matrix Time-Propagation
• Equations of motion for natural orbitals of strongly driven two-electron systems
• Nonsequential double ionization with time-dependent renormalized-natural-orbital theory
• Electronic correlations in double ionization of atoms in pump-probe experiments
• Strong-field absorption and emission of radiation in two-electron systems calculated with time-dependent natural orbitals
• The Exact Exchange-Correlation Potential in Time-Dependent Density Functional Theory: Choreographing Electrons with Steps and Peaks
• Electron Correlation via Frozen Gaussian Dynamics
• Time-dependent renormalized-natural-orbital theory applied to laser-driven H${}_2^{+}$
• Density-Matrix Propagation Driven by Semiclassical Correlation
• Single-photon double ionization: renormalized-natural-orbital theory vs multi-configurational Hartree-Fock