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Phys. Rev. Lett. 100, 153004 (2008) [4 pages]

Adiabatic Approximation in Nonperturbative Time-Dependent Density-Functional Theory

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M. Thiele1, E. K. U. Gross2, and S. Kümmel1
1Physikalisches Institut, Universität Bayreuth, D-95440 Bayreuth, Germany
2Theoretische Physik, Freie Universität Berlin, D-14195 Berlin, Germany

Received 22 November 2007; published 18 April 2008

We construct the exact exchange-correlation potential of time-dependent density-functional theory and the approximation to it that is adiabatic but exact otherwise. For the strong-field double ionization of the Helium atom these two potentials are virtually identical. Thus, memory effects play a negligible role in this paradigm process of nonlinear, nonperturbative electron dynamics. We identify the regime of high-frequency excitations where the adiabatic approximation breaks down and explicitly calculate the nonadiabatic contribution to the exchange-correlation potential.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.100.153004
DOI:
10.1103/PhysRevLett.100.153004
PACS:
31.15.ee, 31.70.Hq, 32.80.Rm