Equilibrium dynamics of the XX chain
Statistical Mechanics
2019-10-29 v3 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
The equilibrium dynamics of the spin-1/2 XX chain is re-examined within a recently developed formalism based on the quantum transfer matrix and a thermal form factor expansion. The transversal correlation function is evaluated in real time and space. The high-accuracy calculation reproduces several exact results in limiting cases as well as the well-known asymptotic formulas obtained by the matrix Riemann-Hilbert approach. Furthermore, comparisons to numerical data based on a direct evaluation of the Pfaffian as well as to asymptotic formulas obtained within non-linear Luttinger liquid theory are presented.
Keywords
Cite
@article{arxiv.1906.03143,
title = {Equilibrium dynamics of the XX chain},
author = {Frank Göhmann and Karol K. Kozlowski and Jesko Sirker and Junji Suzuki},
journal= {arXiv preprint arXiv:1906.03143},
year = {2019}
}
Comments
22pages, RevTex, title changed, some references and comments are added