Vorticity Knot in Two-component Bose-Einstein Condensates

Details Vorticity Knot in Two-component Bose-Einstein Condensates Vorticity Knot in Two-component Bose-Einstein Condensates

2004-09-24

arxiv.org/abs/cond-mat/0409636v1

Physics

Condensed Matter

Other Condensed Matter

4 pages, 3 figures

Scientific paper

We demonstrate the existence of the helical vortex solution in two-component Bose-Einstein condensates which can be identified as a twisted vorticity flux. Based on this we argue that the recently proposed knot in two-component Bose-Einstein condensates can be interpreted as a vorticity knot, a vortex ring made of the helical vortex. This picture shows that the knot is made of two quantized vorticity fluxes linked together, whose topology $\pi_3(S^2)$ is fixed by the linking number of two vorticity fluxes. Due to the helical structure the knot has both topological and dynamical stability. We estimate the energy of the lightest knot to be about $3\times 10^{-3} eV$.

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