Off equilibrium dynamics in disordered quantum spin chain

Details Off equilibrium dynamics in disordered quantum spin chain Off equilibrium dynamics in disordered quantum spin chain

2002-09-20

arxiv.org/abs/cond-mat/0209487v1

Physics

Condensed Matter

Statistical Mechanics

6 pages, 5 figures, accepted for publication in EPJB

Scientific paper

10.1140/epjb/e2002-00333-4

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.

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