Hahn echo and criticality in spin-chain systems

Details Hahn echo and criticality in spin-chain systems Hahn echo and criticality in spin-chain systems

2006-01-15

arxiv.org/abs/cond-mat/0601318v2

European Physical Journal D 45 (2): 355-362 NOV 2007

Physics

Condensed Matter

Other Condensed Matter

5 pages, 6 figures

Scientific paper

10.1140/epjd/e2007-00266-6

We establish a relation between Hahn spin-echo of a spin-$\frac 1 2 $ particle and quantum phase transition in a spin-chain, which couples to the particle. The Hahn echo is calculated and discussed at zero as well as at finite temperatures. On the example of XY model, we show that the critical points of the chain are marked by the extremal values in the Hahn echo, and influence the Hahn echo in surprising high temperature. An explanation for the relation between the echo and criticality is also presented.

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