Vortex states in a binary mixture of Bose-Einstein condensates

Vortex excitations in binary mixture of trapped Bose-Einstein condensates

Elementary excitations of vortices placed in one component of a binary mixture of Bose-Einstein condensates have been studied using perturbative and numerical solutions of the linearised equations for excitations, and numerical simulation of the coupled Gross-Pitaevskii equations. Two distinct instabilities originating from resonances of the excitations have been found. One leads to the vortex ...

Quantized Vortex States and Dynamics in Bose-einstein Condensates

In this thesis, we analytically and numerically study quantized vortex states aswell as their dynamics in rotating Bose-Einstein condensate at extremely low tem-perature.We present an efficient method–gradient flow with discrete normalization tofind the stationary solutions of the Gross-Pitaevskii equation and coupled Gross-Pitaevskii equations. We give a mathematical justif...

Vortex lattice formation in Bose-Einstein condensates.

We show that the formation of a vortex lattice in a weakly interacting Bose condensed gas can be modeled with the nonlinear Schrödinger equation for both T=0 and finite temperatures without the need for an explicit damping term. Applying a weak rotating anisotropic harmonic potential, we find numerically that the turbulent dynamics of the field produces an effective dissipation of the vortex mo...

Azimuthal vortex clusters in Bose-Einstein condensates

We describe, analytically and numerically, topologically nontrivial stationary states with azimuthal modulation of density in a repulsive Bose-Einstein condensate (BEC) confined in a harmonic trap. We show that, depending on the number of density peaks and total topological charge, these states can have a sophisticated phase texture associated with a vortex cluster. For a given topological char...

Vortex Lattices in Rotating Bose-Einstein Condensates