Executive Summary : | A new class of Bose-Einstein condensates (BECs) has been recently proposed by us, coined as doubly dipolar BEC. Contrary to the usual dipolar atomic condensates, doubly dipolar BEC is composed of atoms with both electric and magnetic dipole moments. The latter leads to non-trivial yet highly controllable inter-atomic interactions. Together with short-range interactions, we have competing interactions, which can eventually lead to intriguing quantum many-body physics. This project will explore the many-body phenomena in dipolar condensates arising from the competition between doubly dipolar potential, short-range interactions, harmonic confinement, and quantum fluctuations. A few of these aspects would be to look at self-trapped solutions, vortex lattices, super-solid states and response to periodically modulating interaction strengths. In this theoretical project, we employ analytical methods based on variational calculations, mean-field theory and different numerical methods. The systems we consider include one, two and three-dimensional setups. The technical aspects are inherently difficult as we increase the dimensions of the system. |