Temperature Correlations of Quantum Spins

Abstract

Isotropic XY is considered. It describes interaction of quantum spins on 1-dimesional lattice. Alternatevly one can call the model XXO Hiesenberg antiferromagnet. We solved long standing problem of evaluation of temperature corelations. We proved that correlation function of the model is $\tau$ function of Ablowitz-Ladik PDE. We explicitly evaluated asymptotics.

7 pages

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