Dimensional crossover in two-component Fermi gases with attractive interactions

Strongly-correlated systems provide a solid understanding of many phenomena in physics. For example, superfluid Fermi gases in the Bardeen-Cooper-Schrieffer to Bose-Einstein condensates (BCS-BEC) crossover has been an object of interest of both theoretical and experimental physics. This work studies zero-temperature Fermi gases with short-ranged and attractive interactions with focus on the dimensionality aspects by confining the system from three to two dimensions. In order to achieve that, we employ quantum Monte Carlo methods to calculate quantities such as the equation of state, which is characterized by the energy per particle as a function of an interaction parameter and also as a function of a dimensionality parameter. With this prescription, we connect the perspectives between theoretical and experimental studies by utilizing an approach that is similar to what is realized in modern experiments.