I have encountered the term "string-net condensation" in the string-net paper by Levin-Wen, and in Kitaev's Toric Code - where we say that the ground state is a string net condensate and (I believe) condensation is referred to in the same sense in String-Net models.

I wanted to know if there is a precise definition of condensation in the use case of topological lattice gauge theories? I can see that say in the Toric Code, the ground state is made up of an equal weight superposition of all closed loops and dual loops. Is it used in a similar fashion to the BEC, where the wave functions are highly non local?


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