# Temperature Correlations of Quantum Spins

@inproceedings{ARIts1992TemperatureCO,
title={Temperature Correlations of Quantum Spins},
author={A.R.Its and A.G.Izergin and V.E.Korepin and N.A.Slavnov},
year={1992}
}
• Published 22 December 1992
• Physics
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.
3 Citations
High-temperature analysis of the transverse dynamical two-point correlation function of the XX quantum-spin chain
• Mathematics
Journal of Mathematical Physics
• 2020
We analyse the transverse dynamical two-point correlation function of the XX chain by means of a thermal form factor series. The series is rewritten in terms of the resolvent and the Fredholm
A thermal form factor series for the longitudinal two-point function of the Heisenberg–Ising chain in the antiferromagnetic massive regime
• Physics
Journal of Mathematical Physics
• 2021
We consider the longitudinal dynamical two-point function of the XXZ quantum spin chain in the antiferromagnetic massive regime. It has a series representation based on the form factors of the
Long-time large-distance asymptotics of the transverse correlation functions of the XX chain in the spacelike regime
• Physics
Letters in Mathematical Physics
• 2020
We derive an explicit expression for the leading term in the long-time, large-distance asymptotic expansion of a transverse dynamical two-point function of the XX chain in the spacelike regime. This