Dynamic scaling of fronts in the quantum XX chain
Statistical Mechanics
2009-11-10 v1
Abstract
The dynamics of the transverse magnetization in the zero-temperature XX chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like internal structure whose dynamic scaling is explored both analytically and numerically. The front region is found to spread with time sub-diffusively with the height and the width of the staircase steps scaling as t^(-1/3) and t^1/3, respectively. The areas under the steps are independent of time, thus the magnetization relaxes in quantized "steps" of spin-flips.
Cite
@article{arxiv.cond-mat/0312250,
title = {Dynamic scaling of fronts in the quantum XX chain},
author = {V. Hunyadi and Z. Racz and L. Sasvari},
journal= {arXiv preprint arXiv:cond-mat/0312250},
year = {2009}
}
Comments
4 pages, 3 eps figures, RevTex