Optimized pairing from repulsive interactions in Fermi-Hubbard ladders and its static and dynamic signatures

Experiments on Fermi-Hubbard models, implemented via lattice-confined ultra-cold gases, are moving towards temperatures where their charge gap and possibly their spin gap can be resolved. It is thus important to obtain accurate quantitative theory for those systems in order to optimize the chance of observing any possible unconventional pairing from repulsive interactions at the given temperatures of the ongoing experiments.
In this talk we will present such results for the Fermi-Hubbard ladder, which is proven to have unconventional pairing, and that allows us to optimize this pairing via changes in ladder structure and interactions based on highly accurate numerical theory such as matrix-product-state-based methods. We further demonstrate quantitatively how the temperature ranges at which repulsively mediated pairing may be experimentally observable is very strongly dependent on these optimizations, and how it may be detected with established techniques in both the static regime as well as via dynamically generated excitations.