Topological Objects in Two-component Bose-Einstein Condensates

Details Topological Objects in Two-component Bose-Einstein Condensates Topological Objects in Two-component Bose-Einstein Condensates

2005-10-24

arxiv.org/abs/cond-mat/0510618v1

Phys. Rev. A 72, 063603 (2005)

Physics

Condensed Matter

Other Condensed Matter

18 pages, 15 figures, Phys. Rev. A in press

Scientific paper

10.1103/PhysRevA.72.063603

We study the topological objects in two-component Bose-Einstein condensates. We compare two competing theories of two-component Bose-Einstein condensate, the popular Gross-Pitaevskii theory and the recently proposed gauge theory of two-component Bose-Einstein condensate which has an induced vorticity interaction. We show that two theories produce very similar topological objects, in spite of the obvious differences in dynamics. Furthermore we show that the gauge theory of two-component Bose-Einstein condensate, with the U(1) gauge symmetry, is remarkably similar to the Skyrme theory. Just like the Skyrme theory the theory admits the non-Abelian vortex, the helical vortex, and the vorticity knot. We construct the lightest knot solution in two-component Bose-Einstein condensate numerically, and discuss how the knot can be constructed in the spin-1/2 condensate of $^{87}{\rm Rb}$ atoms.

Affiliated with

Also associated with

No associations

Rating

Topological Objects in Two-component Bose-Einstein Condensates does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topological Objects in Two-component Bose-Einstein Condensates, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological Objects in Two-component Bose-Einstein Condensates will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523146