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Temperature Correlations of Quantum Spins

Alexandr Its·Anatloij Izergin·Vladimr Korepin·Nikita Slavnov
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Abstract

We consider isotropic XY model in the transverse magnetic field on the one dimensional lattice. Another name of the model in Heisenberg XXO model of spin 1/2.We solved long standing problem of evaluation of temperature correlations. We first represent correlation function in the model, by means of completely integrable differential equation. This is famous Ablowitz-Ladik lattice Nonlinear Schrodinger equation.Correlation function is the $τ$ function of this differential equation. We solved this equation and evaluate asymptotics.

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Alexandr Its, Anatloij Izergin, Vladimr Korepin, Nikita Slavnov. 1992-09-30. Temperature Correlations of Quantum Spins. https://arxiv.org/abs/cond-mat/9209034

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