Adiabatic Approximation of the Correlation Function in the Density-Functional Treatment of Ionization Processes

Abstract

The ionization of a one-dimensional model Helium atom in short laser pulses using time-dependent density functional theory is investigated. We calculate ionization probabilities as a function of laser intensity by approximating the correlation function of the system adiabatically with an explicit dependence on the fractional number of bound electrons. For the correlation potential we take the derivative discontinuity at integer numbers of bound electrons explicitly into account. This approach reproduces ionization probabilities from the solution of the time-dependent Schroedinger equation, in particular the so-called "knee" due to nonsequential ionization.

4 pages, 4 figures, RevTeX4

References in corpus (4)

• Non-Sequential Double Ionization is a Completely Classical Photoelectric Effect
• QPROP: A Schroedinger-solver for intense laser-atom interaction
• A two-dimensional, two-electron model atom in a laser pulse: exact treatment, single active electron-analysis, time-dependent density functional theory, classical calculations, and non-sequential ionization
• Classical collisional trajectories as the source of strong-field double ionization of helium in the knee regime

Cited by in corpus (16)

• A brief compendium of time-dependent density-functional theory
• Non-Adiabatic Approximations in Time-Dependent Density Functional Theory: Progress and Prospects
• Momentum distributions in time-dependent density functional theory: Product phase approximation for non-sequential double ionization in strong laser fields
• Time-dependent renormalized natural orbital theory applied to the two-electron spin-singlet case: ground state, linear response, and autoionization
• Semiclassical Electron Correlation in Density-Matrix Time-Propagation
• Equations of motion for natural orbitals of strongly driven two-electron systems
• Density functional theory investigation of antiproton-helium collisions
• Nonsequential double ionization with time-dependent renormalized-natural-orbital theory
• 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
• Absence of Dynamical Steps in the Exact Correlation Potential in Linear Response
• Time-dependent renormalized-natural-orbital theory applied to laser-driven H${}_2^{+}$
• Density-Matrix Propagation Driven by Semiclassical Correlation
• Investigating interaction-induced chaos using time-dependent density functional theory
• Single-photon double ionization: renormalized-natural-orbital theory vs multi-configurational Hartree-Fock