Temperature correlations of quantum spins

A. R. Its; A. G. Izergin; V. E. Korepin; N. A. Slavnov

doi:10.1103/PhysRevLett.70.1704

Temperature correlations of quantum spins

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

Institute for Theoretical Physics

Clarkson University
École normale supérieure de Lyon
Stony Brook University
Steklov Mathematical Institute of RAS

Research output: Contribution to journal › Article › peer-review

111 Scopus citations

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.

Original language	English
Pages (from-to)	1704-1706
Number of pages	3
Journal	Physical Review Letters
Volume	70
Issue number	11
DOIs	https://doi.org/10.1103/PhysRevLett.70.1704
State	Published - 1993

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10.1103/PhysRevLett.70.1704

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title = "Temperature correlations of quantum spins",

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 Schr{\"o}dinger differential equation.",

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AU - Its, A. R.

AU - Izergin, A. G.

AU - Korepin, V. E.

AU - Slavnov, N. A.

PY - 1993

Y1 - 1993

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0001263098

U2 - 10.1103/PhysRevLett.70.1704

DO - 10.1103/PhysRevLett.70.1704

M3 - Article

AN - SCOPUS:0001263098

SN - 0031-9007

VL - 70

SP - 1704

EP - 1706

JO - Physical Review Letters

JF - Physical Review Letters

IS - 11

ER -

Temperature correlations of quantum spins

Abstract

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