Abstract
We report a study on the zero-temperature quantum discord as a measure of the two-spin correlation of atransverse XY spin chain following a quench across a quantum critical point and investigate the behaviorof the mutual information, the classical correlations and, hence, of the discord in the finalstate as a function of the rate of quenching. We show that although the discord vanishes inthe limit of very slow as well as very fast quenching, it exhibits a peak for an intermediatevalue of the quenching rate. We show that although the discord and also themutual information exhibit a behavior similar, as regards the quenching rate,to that of the concurrence or negativity following an identical quenching, thereare quantitative differences. Our studies indicate that like the concurrence, thediscord also exhibits a universal power law scaling with the rate of quenching in thelimit of slow quenching although it may not be expressible in a closed power lawform. We also explore the behavior of the discord on quenching linearly across aquantum multicritical point and observe a scaling similar to that of the defectdensity.
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