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Journal of Hubei University

Thermal entanglement in two-qubit Heisenberg XY model

Wanqiang Cao

Published Jan 1, 2006• 2 citations
OpenAlex

Abstract

We study the thermal entanglement in the two-qubit Heisenberg XY model including the cross-product terms in the presence of an external inhomogeneous magnetic field.Concurrence,the measurement of entanglement,is calculated.The effects of an external inhomogeneous magnetic field on the ground-state entanglement and the thermal entanglement in the presence of the crossproduct terms are discussed carefully.

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We study the entanglement of thermal and ground states in the Heisenberg XY spin chain with an inhomogeneous magnetic field.A general result is found that for two-qubit case,pairwise entanglement is independent of the sign of coupling constant J,magnetic field B,anisotropic parameter γ and inhomogeneous parameter b of the magnetic field.At zero absolute temperature,an analytical expression of concurrence C is given through which we show that the critical magnetic field Bc increases with the increase of inhomogeneity.At finite temperature,we show analytically for the isotropic case and numerically for the anisotropic case that the thermal entanglement can be apparently enhanced by introducing the inhomogeneity of the magnetic field.We also show that for isotropic case the critical temperature Tc is alone an increasing function of the inhomogeneous parameter b,while for anisotropic case,it is determined by both B and b.