Temperature correlations of quantum spins

A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov
Phys. Rev. Lett. 70, 1704 – Published 15 March 1993; Erratum Phys. Rev. Lett. 70, 2357 (1993)
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Abstract

We consider the isotropic XY model in a transverse magnetic field in one dimension. One can alternatively call this model the Heisenberg XXO antiferromagnet. We solve the problem of the evaluation of asymptotics of temperature correlations and explain the physical meaning of our result. To do this we represent the quantum correlation function as a tau function of a completely integrable differential equation. This is the well-known Ablowitz-Ladik lattice nonlinear Schrödinger differential equation.

  • Received 17 September 1992

DOI:https://doi.org/10.1103/PhysRevLett.70.1704

©1993 American Physical Society

Erratum

Temperature Correlations of Quantum Spins

A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov
Phys. Rev. Lett. 70, 2357 (1993)

Authors & Affiliations

A. R. Its, A. G. Izergin, V. E. Korepin, and N. A. Slavnov

  • Department of Mathematics and Computer Science and the Institute for Nonlinear Studies, Clarkson University, Potsdam, New York 13699-5815
  • Laboratorie de Physique Théorique, ENSLAPP, Ecole Normale Superieure de Lyon, Lyon, France
  • Institute for Theoretical Physics, State University of New York, Stony Brook, New York 11794-3840
  • V. A. Steklov Mathematical Institute of Russian Academy of Science, Moscow, Russia

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Vol. 70, Iss. 11 — 15 March 1993

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