Quantum ring with tangential dipoles

Sammanfattning: This Bachelor thesis studies the formation of quantum droplets in a dilute dipolar Bose Einstein Condensate with the initial shape of a torus. The main question to address is how this formation occurs as the magnetic dipole moment of the particles changes orientation with respect to the xy plane. The (mostly) attractive dipolar, and the repulsive contact and Lee-Huang-Yang interactions of the gas are studied first in a theoretical way, and afterwards using a numerical simulation that solves the wave function of the system and computes its ground state energy. After such study, two main conclusions were drawn. The first one says that independently from the magnetic dipole moment orientation, droplet formation is possible when attractive and repulsive interactions have very similar behaviour, with attraction being slightly stronger than repulsion. Regarding the second one, from all the orientations examined, the one with which droplets have the smallest ground state energy is indeed the xy plane orientation.