Exact entanglement entropy of the XYZ model and its sine-Gordon limit

Details Exact entanglement entropy of the XYZ model and its sine-Gordon limit Exact entanglement entropy of the XYZ model and its sine-Gordon limit

2009-05-25

arxiv.org/abs/0905.4000v3

Phys.Lett.A374:2101-2105,2010

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, 1 figure - v2: typos corrected - v3: some references and comments of sine-Gordon result added

Scientific paper

10.1016/j.physleta.2010.03.014

We obtain the exact expression for the Von Neumann entropy for an infinite bipartition of the XYZ model, by connecting its reduced density matrix to the corner transfer matrix of the eight vertex model. Then we consider the anisotropic scaling limit of the XYZ chain that yields the 1+1 dimensional sine-Gordon model. We present the formula for the entanglement entropy of the latter, which has the structure of a dominant logarithmic term plus a constant, in agreement with what is generally expected for a massive quantum field theory.

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