On the logarithmic bipartite fidelity of the open XXZ spin chain at $Δ=-1/2$
Christian Hagendorf, Gilles Parez
SciPost Phys. 12, 199 (2022) · published 24 June 2022
- doi: 10.21468/SciPostPhys.12.6.199
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Abstract
The open XXZ spin chain with the anisotropy $\Delta=-\frac12$ and a one-parameter family of diagonal 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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Funders for the research work leading to this publication
- Centre National de la Recherche Scientifique / French National Centre for Scientific Research [CNRS]
- Fonds Wetenschappelijk Onderzoek (FWO) (through Organization: Fonds voor Wetenschappelijk Onderzoek - Vlaanderen / Research Foundation - Flanders [FWO])