Abstract
Using Jordan–Winger transformation and finite Fouriertransformation, the Hamiltonian of XX chain can be transformed tothe diagonal form. If the total qubits number N = odd, theinternal energy Ū, and correlation function Gzz in thermalequilibrium can be calculated. Then the pairwise concurrence and thecritical value βcr can be calculated. For N⩾5 XXchains, there are pairwise concurrences in thermal equilibrium forantiferromagnetic and ferromagnetic cases when β > βcr.
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