DIPOLAR fermionic SuperFluidity

Strongly correlated systems give rise to fascinating emergent phenomena, such as high-temperature and topological superconductivity. Due to the complexity of those materials, understanding the underlying microscopic mechanisms is very challenging. While ultracold Fermi gases have emerged as a model system to investigate strongly interacting systems, they have primarily focused on local and short-range interactions. This proposal aims to overcome these limitations and pioneer the quantum simulation of strongly correlated matter with long-range interactions, exploiting the anisotropic dipole-dipole interaction in magnetic atoms. We will study the unexplored dipolar BEC-BCS crossover using an isotopic dipolar Fermi mixture immune to dipolar losses. This will enable the creation of a Bose-Einstein condensate made up of dipolar dimers for the first time, directly yielding an order-of-magnitude enhancement of the dipolar interaction. This achievement will enable the realization of strongly correlated quantum liquids and supersolids. In the BCS regime, our focus will be on studying anisotropic and topological superfluidity. Using a 2D dipolar Fermi gas, we propose to explore the deformation of the Fermi surface due to interactions and its impact on fermionic pairing and superfluidity. Additionally, the reduced dimensionality enhances the critical temperature for the elusive p-wave superfluidity, where identical fermions pair, thus paving the way to explore topological superfluids. Finally, the two-component Fermi mixture provides a platform to study the coexistence and competition between s- and p-wave pairing. These phases are separated by a topological phase transition, where the order parameter continuously evolves from even to odd parity, resulting in unconventional singlet-triplet superfluidity.This proposal opens a new field of strongly correlated ultracold quantum matter with long-range dipolar interactions.