New spectroscopic probes in the Fermi-Hubbard model

Spectroscopy allows direct insights into the nature of collective excitations of strongly correlated quantum systems. In this talk, I present recent developments that will allow spectroscopic probes of the 1D and 2D Fermi-Hubbard models using ultracold atoms. Specifically, angle-resolved photo-emission spectroscopy (APRES) is discussed. A new extension of ARPES is introduced which relies on a combination of different lattice modulations and allows to impart angular momentum into the system. This, in turn, is shown to reveal qualitatively new types of rotational excitation of mobile dopants in the 2D Hubbard model, which can be explained by an emergent parton structure. The talk closes by a discussion of the required temperatures to observe the newly predicted rotational resonances -- which are within reach of current experimental platforms.