Topological Geometric Entanglement of Blocks

Details Topological Geometric Entanglement of Blocks Topological Geometric Entanglement of Blocks

2011-08-07

arxiv.org/abs/1108.1537v1

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 2 figures

Scientific paper

Here we establish the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks. As happens for the entanglement entropy, we find that the geometric entanglement is the sum of two terms: a non-universal one obeying a boundary law times the number of blocks, and a universal one quantifying the underlying long-range entanglement of a topologically-ordered state. For simplicity we focus on the case of Kitaev's toric code model.

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