Hahn echo and criticality in spin-chain systems

Abstract

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.

5 pages, 6 figures

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Cited by in corpus (3)

• Fidelity approach to quantum phase transitions
• Quantum criticality at infinite temperature
• Many-Body Spin Echo