Topological constraints on magnetostatic traps

Details Topological constraints on magnetostatic traps Topological constraints on magnetostatic traps

2006-04-11

arxiv.org/abs/cond-mat/0604273v2

Phys. Rev. A 74, 043405 (2006)

Physics

Condensed Matter

Other Condensed Matter

7 pages, 5 figures

Scientific paper

10.1103/PhysRevA.74.043405

We theoretically investigate properties of magnetostatic traps for cold atoms that are subject to externally applied uniform fields. We show that Ioffe Pritchard traps and other stationary points of $B$ are confined to a two-dimensional curved manifold defined by $\det(\partial B_i/\partial x_j)=0$. We describe how stationary points can be moved over the manifold by applying external uniform fields. The manifold also plays an important role in the behavior of points of zero field. Field zeroes occur in two distinct types, in separate regions of space divided by the manifold. Pairs of zeroes of opposite type can be created or annihilated on the manifold. Finally, we give examples of the manifold for cases of practical interest.

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