Abstract
We find an exact expression for the bipartite fidelityf = |⟨vac|vac⟩′|2, where|vac⟩ is the vacuum eigenstate of an infinite-size antiferromagnetic XXZ chain and|vac⟩′ isthe vacuum eigenstate of an infinite-size XXZ chain which is split in two. We consider the quantity − ln(f) whichhas been put forward as a measure of quantum entanglement, and show that the large correlation lengthξ behaviour is consistent with a general conjecture , where c is the central charge of the UV conformal field theory (withc = 1 for the XXZ chain). This behaviour is a natural extension of the existing conformal fieldtheory prediction of for a length L bipartite system with .
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