Stable Skyrmions in spinor condensates

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Globally symmetric spinor condensates in free space are argued not to support stable topological defects in either two or three dimensions. In the latter case, however, we show that a topological Skyrmion can be stabilized by forcing it to adopt certain density profiles. A sufficient condition for the existence of Skyrmion solutions in three dimensions is formulated and illustrated in simple examples. Our results pertain to Bose-Einstein condensation in Rb.
4 pages, 2 figures; few typos corrected, references updated, to appear in Phys. Rev. Lett

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