Eur. Phys. J. B 30, 77-82 (2002)
https://doi.org/10.1140/epjb/e2002-00333-4

Off equilibrium dynamics in disordered quantum spin chain

Laboratoire de Physique des Matériaux (UMR CNRS 7556) , Université Henri Poincaré (Nancy 1), BP 239, 54506 Vandœuvre-lès-Nancy Cedex, France

Corresponding author: ^a karevski@lpm.u-nancy.fr

Received: 11 July 2002
Revised: 9 September 2002
Published online: 29 October 2002

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 x or z 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.