QUANTUM HYDRODYNAMIC OF ULTRACOLD ATOMIC GAS IN ROTATING TRAPS

In this work, theoretically, we discussed various properties of systems, including the density profiles and the ground state properties of trapped condensates in different interaction limits, the rotational properties of the condensates confined in a harmonic trap at different rotational and trap frequencies. As a result, in attractive interaction, the gas tends to increase its central density in order to lower the interaction energy. When the condensate rotates with angular velocity Ω, one or more vortices nucleate, with many observable consequences with more rapid rotation, the vortices form a dense triangular array.