Dresden 2011 – scientific programme

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A: Fachverband Atomphysik

A 16: Atomic systems in external fields I

A 16.2: Talk

Wednesday, March 16, 2011, 14:15–14:30, BAR 106

On the applicability of the Floquet theorem to TDDFT — •Varun Kapoor and Dieter Bauer — Institut für Physik, Universität Rostock, 18051 Rostock, Germany

We investigate the applicability of the Floquet ansatz to time-dependent density functional theory (TDDFT). We find that the periodicity of the TDDFT-Hamiltonian with just the laser period, as required by the Floquet ansatz, is conditional. We obtain the exact Hartree-exchange-correlation potential for exactly solvable model systems and Fourier transform it to check for periodicity of the TDDFT-Hamiltonian. We find that only if the ground state evolves adiabatically in the laser field and the laser frequency is non-resonant, Floquet-TDDFT states exist and the Floquet ansatz is applicable. We use the novel Floquet analysis we developed to obtain the populated Floquet states which qualitatively agree with the populated Floquet states obtained by solving the Schrödinger equation. A comparison is also made between Floquet-TDDFT states obtained by exact and Hartree-exchange-only TDDFT.