Time-dependent density-functional theory and strongly correlated systems: insight from numerical studies.
We illustrate the scope of time-dependent density-functional theory for strongly correlated (lattice) models out of equilibrium. Using the exact many-body time evolution, we reverse engineer the exact exchange correlation (xc) potential v_(xc) for small Hubbard chains exposed to time-dependent fields. We introduce an adiabatic local density approximation to v_(xc) for the 1D Hubbard model and compare it to exact results, to gain insight about approximate xc potentials. Finally, we provide some remarks on the v-representability for the 1D Hubbard model.
Verdozzi
Claudio
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Division of Mathematical Physics and European Theoretical Spectroscopy Facility (ETSF), Lund University, Lund, Sweden.