Fractional windings of the spinor condensates on a ring

Yong-Kai Liu; Shi-Jie Yang

doi:10.1142/s0217979213500707

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arXiv · 1302.5862

Fractional windings of the spinor condensates on a ring

Yong-Kai Liu·Shi-Jie Yang

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Abstract

We study the uniform solutions to the one-dimensional spinor Bose-Einstein condensates on a ring. These states explicitly display the associated motion of the super-current and the spin rotation, which give rise to fractional winding numbers according to the various compositions of the hyperfine states. It simultaneously yields a fractional factor to the global phase due to the gauge-spin symmetry. Our method can be applied to explore the fractional vortices by identifying the ring as the boundary of two-dimensional spinor condensates.

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Yong-Kai Liu, Shi-Jie Yang. 2013-06-28. Fractional windings of the spinor condensates on a ring. https://doi.org/10.1142/s0217979213500707

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