Off-Diagonal Time-Dependent Spin Correlation Functions of theX−YModel

Publisher Website

1 December 1971

journal article
research article
Published by American Physical Society (APS) in Physical Review A

Vol. 4 (6) , 2314-2324
https://doi.org/10.1103/physreva.4.2314

Abstract

We consider the anisotropic one-dimensional

X - Y

model of Lieb, Schultz, and Mattis and study the three zero-temperature correlation functions

ρ_{μ ν} (R, t) = 〈 S_{1}^{μ} (0) S_{R + 1}^{ν} (t) 〉

, where

μ ν = x, y, z

but

μ \neq ν

. We obtain the first-order term of

ρ_{xy}

for

R \to \infty

or

t \to \infty

and exact expressions for

ρ_{xz}

and

ρ_{yz}

.

Keywords

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