Speaker
Description
The strongly coupled regime of quantum many-body physics continues to pose a formidable challenge in modern physics. A premier system used to explore this realm is the unitary Fermi gas (UFG), which is characterized by an infinite s-wave scattering length that leads to universal, conformal physics. While the thermodynamic and hydrodynamic properties of the UFG have been extensively studied, its internal mechanical structure remains largely unknown. In this talk, we present a proposed project to calculate the Gravitational Form Factors (GFFs) of the UFG using Lattice Effective Field Theory (Lattice EFT) and stochastic Monte-Carlo techniques. Because GFFs map directly to the matrix elements of the energy-momentum tensor, they offer a unique window into the spatial distribution of mass, and pressure within the gas. We discuss the lattice discretization of EFT of interest, so-called “pion-less EFT”, the extraction of the UFG's effective mass, the systematic uncertainties inherent to the lattice, and our proposed framework for computing the GFFs. Finally, we discuss how this same Lattice EFT framework can be extended to explore the few-body sector, specifically focusing on the emergence of Efimov states at the unitary limit.