Structural change of vortex patterns in anisotropic Bose-Einstein condensates

Dynamics of Vortex Dipoles in Anisotropic Bose-Einstein Condensates

We study the motion of a vortex dipole in a Bose-Einstein condensate confined to an anisotropic trap. We focus on a system of ordinary differential equations describing the vortices’ motion, which is in turn a reduced model of the Gross-Pitaevskii equation describing the condensate’s motion. Using a sequence of canonical changes of variables, we reduce the dimension and simplify the equations o...

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

Anisotropic solitons in dipolar bose-einstein condensates.

Starting with a Gaussian variational ansatz, we predict anisotropic bright solitons in quasi-2D Bose-Einstein condensates consisting of atoms with dipole moments polarized perpendicular to the confinement direction. Unlike isotropic solitons predicted for the moments aligned with the confinement axis [Phys. Rev. Lett. 95, 200404 (2005)10.1103/PhysRevLett.95.200404], no sign reversal of the dipo...