A Diagonalization Approach to Rotating Bose Gases: Multiply Quantized and Coreless Vortices

Sara Bargi

Friday, 30 May 2008, 10:15
Seminar room F

In this licentiate thesis I consider two different systems of weakly-interacting, rotating Bose gases: a single-component gas in an anharmonic potential, and a mixture of two Bose gases in a harmonic potential.

The first of these is studied for repulsive as well as attractive interactions, and several distinct states are identified. For weak enough interaction, the stable states are vortices of multiple quantization. For stronger interactions, the repulsive system forms singly quantized vortices, whereas the attractive gas resorts to center-of-mass rotation.

The second paper investigates a repulsive two-component Bose gas in a harmonic potential. Interestingly, in this system there is a number of exact, analytical expressions for the energies and occupation numbers at low angular momenta. We also show examples of coreless vortices and draw conclusions about an interesting similarity between the two systems investigated.