Time Dependent Density Functional Theory meets Dynamical Mean Field Theory: Real-Time Dynamics for the 3D Hubbard model

Abstract

We introduce a new class of exchange-correlation potentials for a static and time-dependent Density Functional Theory of strongly correlated systems in 3D. The potentials are obtained via Dynamical Mean Field Theory and, for strong enough interactions, exhibit a discontinuity at half filling density, a signature of the Mott transition. For time-dependent perturbations, the dynamics is described in the adiabatic local density approximation. Results from the new scheme compare very favorably to exact ones in clusters. As an application, we study Bloch oscillations in the 3D Hubbard model.

4 pages, 3 figures

References in corpus (5)

• Successes and Failures of Kadanoff-Baym Dynamics in Hubbard Nanoclusters
• Quenching Bloch oscillations in a strongly correlated material
• Time-propagation of the Kadanoff-Baym equations for inhomogeneous systems
• Collective excitations in one-dimensional ultracold Fermi gases: a comparative study
• Ground state energy of the low density Hubbard model. An upper bound

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