Interactions in the time-domain within the Floquet-Bloch formalism

The rich landscape of phenomena in condensed matter physics is strongly tied to quasi particle interactions. In the static domain and in equilibrium, treating interaction effects is conceptually established. Out of equilibrium, novel phenomena emerge. We report about an extension of the Hatsugai-Kohmoto model [1] into the time domain. This model, local in momentum and exactly solvable, captures the essential leading contributions of strongly correlated quantum systems. In the time-domain, it serves as a platform to investigate dynamic quantum phases of matter. We focus on the case of coherently driven matter which can be approximated in the Floquet-Bloch framework adopted recently [2].