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While ostensibly coined in 1989 by Xiao-Gang Wen, the term "topologicalorder" has been in use since 1972 by Kosterlitz-Thouless to describe thebehavior of the classical xy model. It has been noted that the xy model doesnot have Wen's topological order since it is also subject a non-topologicalU(1) gauge action. We show in a sense this is the only obstruction. That is, ifthe xy model evolves quantumly into gauge invariant states then one recoverspure topological order. In fact, we show the quantum xy topological order is aninfinite lattice limit of Kitaev's quantum double model applied to the groupG=Z.

Anyons in a highly-entangled toric xy model