(Stellenbosch : Stellenbosch University, 2014-04) Kimene Kaya, Boniface Dimitri Christel; Avdeenkov, Alexander V.; Kriel, Johannes N.; Stellenbosch University. Faculty of Science. Dept. of Physics.
ENGLISH ABSTRACT: We present a theoretical approach that allows for the description of trapped Bose-Fermi mixtures
with a tunable interspecies interaction in the vicinity of a Feshbach resonance magnetic field.The
many-body physics of the system is treated at equilibrium using the well-established mean-field
and local density approximations. This reduces the physics locally to that of a homogeneous
system. We observe a rich local phase structure exhibiting both first and second order phase
transitions between the normal and BEC phases. We also consider the global properties of the
mixture at a fixed number of particles and investigate how the density profiles and the populations
of the various particle species depend on the detuning and trap profile.