Pairing in a population-imbalanced Fermi system in a two-dimensional optical lattice is
studied using determinant quantum Monte Carlo simulations and mean-field calculations …

We study excitonic condensation in an electron-hole bilayer system with unequal layer
densities at zero temperature. Using mean-field theory we solve the Bardeen-Cooper …

We model the one-dimensional (1D) to three-dimensional (3D) crossover in a cylindrically
trapped Fermi gas with attractive interactions and spin imbalance. We calculate the mean …

We study the zero temperature ground state of a two-dimensional atomic Fermi gas with
chemical potential and population imbalance in the mean-field approximation. All …

The question whether an imbalanced Fermi gas can accommodate polarized superfluidity
has been the subject of intense study. One prominent candidate for a polarized superfluid …

We study pairing of an interacting three-component Fermi gas in two dimensions. By using a
mean-field theory to decouple the interactions between different pairs of Fermi components …

We study population imbalanced Fermi mixtures under quasi-two-dimensional confinement
at zero temperature. Using mean-field theory and the local-density approximation, we study …

Summary In this work Quantum Monte Carlo (QMC) techniques are used to provide an
approximation-free investigation of the phases of the one-and two-dimensional attractive …

The general structure of the $ s $-wave fermionic superfluid pairing order parameter is
discussed for systems in thermal equilibrium. We demonstrate that for finite-size systems …

In this thesis several models are treated, which are relevant for ultracold fermionic quantum
gases loaded onto optical lattices. In particular, imbalanced superfluid Fermi mixtures, which …