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IOP Publishing, Journal of Statistical Mechanics: Theory and Experiment, 3(2014), p. P03023

DOI: 10.1088/1742-5468/2014/03/p03023

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Evolution of the magnetization after a local quench in the critical transverse-field Ising chain

Journal article published in 2014 by Ferenc Iglói, Gergő Roósz, Loïc Turban ORCID
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This paper is available in a repository.

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Abstract

19 pages, 9 figures, published version ; International audience ; We study the time evolution of the local magnetization in the critical Ising chain in a transverse field after a sudden change of the parameters at a defect. The relaxation of the defect magnetization is algebraic and the corresponding exponent, which is a continuous function of the defect parameters, is calculated exactly. In finite chains the relaxation is oscillating in time and its form is conjectured on the basis of precise numerical calculations.