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.
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Received 11 July 2002 / Received in final form 9 September 2002 Published online 29 October 2002
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Abriet, S., Karevski, D. Off equilibrium dynamics in disordered quantum spin chain. Eur. Phys. J. B 30, 77–82 (2002). https://doi.org/10.1140/epjb/e2002-00333-4
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DOI: https://doi.org/10.1140/epjb/e2002-00333-4