Pairing in charged-neutral fermion mixtures under an artificial magnetic field

Abstract

Bose-Einstein condensations (BEC), pairing behaviour, vortex formations in superconductivity and superfluidity are just a few examples of fascinating features of ultracold gases. In this thesis, we study charged-neutral cold atom mixtures which are obtained by placing a neutral mixture under an artificial magnetic field coupling only one of the components. We begin with two distinguishable (charged-neutral) particles on a ring trap. Charged particle gains angular momentum due to a magnetic field along the axis of the ring and we see that there is a big angular momentum transfer to neutral particle in orders of ¯h. This work is set forth to guide us in the many body problem of vortex transformation in charged-neutral superfluid mixtures. In the main part of the thesis, we examine charged-neutral fermion mixtures. Thanks to artificial magnetic fields, Cooper pairs whose only one component coupling to magnetic field can be created now. We calculate the gap equation for this system and solve for the critical temperature. We show that critical temperature decreases for the increasing magnetic field.