Supersymmetry in Rydberg-dressed lattice fermions

Supersymmetry is a powerful tool that allows the characterization of strongly correlated many-body systems, in particular in the case of supersymmetric extensions of the fermionic Hubbard model [1]. At the same time, these models can exhibit rich and exotic physics on their own, such as flat bands with a vanishing dispersion relation. We show that such lattice models can be realized with Rydberg-dressed fermions in optical lattices. Strong interactions within the ground state manifold of the atoms can be realized by admixing a weak contribution of a highly excited Rydberg state [2]. We discuss the unique possbilities of ultracold atoms for the detection of supersymmetry and the effects of tuning the system away from the supersymmetric point.\\[4pt] [1] P. Fendley, K. Schoutens, J. de Boer, PRL {\bf 90}, 120402 (2003).\\[0pt] [2] J. Honer, H. Weimer, T. Pfau, H. P. B\"uchler, PRL {\bf 105}, 160404 (2010).