Real-Space, Real-Time Approach to Quantum Electrodynamical Density Functional Theory

The quantum electrodynamical density functional theory (QED-DFT) is a powerful way to describe the interaction of light and matter in a fully quantum mechanical framework. In this talk a novel approach using a tensor product of a Fock space and real-space grid to solve QED-DFT is presented. The accuracy of this approach for molecules in cavities will be discussed. Examples include the coupling strength and or photon frequency dependence of numerous observables: ground state energies and densities; Rabi splitting magnitudes; optical absorption and high harmonic generation spectra in cavities; and photonic observables.