Correlation properties of anisotropic XY model with a sudden quench

H. L. Guo, Z. Liu (), H. Fan and S. Chen

The European Physical Journal B: Condensed Matter and Complex Systems, 2011, vol. 79, issue 4, 503-507

Abstract: Starting from a general Hamiltonian which may undergo a quantum phase transition (QPT) with the change of a controllable parameter, we obtain a general conclusion that in a sudden quench system, when the final Hamiltonian is fixed, the behavior of the time-averaged expectation of any observable has close relationship with the gapless excitation of the initial Hamiltonian. To clarify our conclusion, we investigate the two-spin correlation of a XY chain in a transverse field under a sudden quench at zero temperature. The critical property of the derivative of quench two-spin correlation and the long-range correlation of the quench system are analyzed. Copyright EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2011

Date: 2011
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DOI: 10.1140/epjb/e2011-10669-1

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