Speaker
Description
In this talk, we present recent results on lattice QED$_3$ at finite density with both staggered and Wilson fermions, focusing on density-induced phase transitions and topological phases. On the one hand, we demonstrate the identification of density-induced phase transitions for two staggered fermion flavors using VQE inference runs on IBM quantum hardware. On the other hand, we use exact diagonalization to uncover a rich phase diagram for two Wilson fermion flavors in the presence of a chemical potential, featuring a variety of topological phases, including Chern insulator and quantum spin Hall phases. We discuss the resulting insights into the interplay between fermion discretization, topology, and finite-density physics in QED$_3$, as well as the implications for future quantum simulations.