On the logarithmic bipartite fidelity of the open XXZ spin chain at $Δ=-1/2$

Walmsley Hagendorf, Christian;Parez, Gilles
(2022) SciPost Physics — Vol. 12, n° 6 (2022)

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The open XXZ spin chain with the anisotropy ∆ = − 1/2 and a one-parameter family of di- agonal boundary fields is studied at finite length. A determinant formula for an overlap involving the spin chain’s ground-state vectors for different lengths is found. The overlap allows one to obtain an exact finite-size formula for the ground state’s logarithmic bipartite fidelity. The leading terms of its asymptotic series for large chain lengths are evaluated. Their expressions confirm the predictions of conformal field theory for the fidelity.
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Walmsley Hagendorf, C., & Parez, G. (2022). On the logarithmic bipartite fidelity of the open XXZ spin chain at $Δ=-1/2$. SciPost Physics, 12(6). https://doi.org/10.21468/scipostphys.12.6.199 (Original work published 2022)