Abstract: Bose-Einstein condensation is a direct consequence of quantum statistical effects. It occurs in ultradilute gases at very low temperatures: most atoms condense into the lowest-energy state and behave as a single matter wave. In this thesis, we study Bose-Einstein condensates of dilute and weakly interacting atoms within the mean-field framework and focus on two topics: anisotropic interactions and self-bound states.
In ultracold dilute gases, the most common atom-atom interactions are short-range and isotropic. However, the interactions can also be anisotropic, for instance, when the gas is either formed of atoms with a large magnetic moment or subject to an artificial gauge field, exhibiting dipolar and chiral interactions, respectively. The interacting nature of the system gives rise to two possible solutions that do not require external confinement: quantum droplets and solitons.

Directors:

Dra. Montserrat Guilleumas Morell

Dr. Ricardo Mayol Sanchez

Tutor: Dr. Joan Soto Riera