Off equilibrium dynamics in disordered quantum spin chain
Statistical Mechanics
2009-11-07 v1
Abstract
We study the non-equilibrium time evolution of the average transverse magnetisation and end-to-end correlation functions of the random Ising quantum chain. Starting with fully magnetised states, either in the or direction, we compute numerically the average quantities. They show similar behaviour to the homogeneous chain, that is an algebraic decay in time toward a stationary state. During the time evolution, the spatial correlations, measured from one end to the other of the chain, are building up and finally at long time they reach a size-dependent constant depending on the distance from criticality. Analytical arguments are given which support the numerical results.
Cite
@article{arxiv.cond-mat/0209487,
title = {Off equilibrium dynamics in disordered quantum spin chain},
author = {Stéphane Abriet and Dragi Karevski},
journal= {arXiv preprint arXiv:cond-mat/0209487},
year = {2009}
}
Comments
6 pages, 5 figures, accepted for publication in EPJB