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Low temperature relaxational dynamics of the Ising chain in a transverse field

Subir Sachdev·A. P. Young
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Abstract

We present asymptotically exact results for the real time order parameter correlations of a class of d=1 Ising models in a transverse field at low temperatures (T) on both sides of the quantum critical point. The correlations are a product of a T-independent factor determined by quantum effects, and a T-dependent relaxation function which comes from a classical theory. We confirm our predictions by a no-free-parameter comparison with numerical studies on the nearest neighbor spin-1/2 model.

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Subir Sachdev, A. P. Young. 1997-02-12. Low temperature relaxational dynamics of the Ising chain in a transverse field. https://doi.org/10.1103/physrevlett.78.2220

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