The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interac.pdf

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The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interac.pdf

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The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interac

a r X i v : 0 8 0 8 .3 6 8 2 v 1 [ q u a n t - p h ] 2 7 A u g 2 0 0 8 The entanglement in one-dimensional random XY spin chain with Dzyaloshinskii-Moriya interaction ? C. J. Shan ? , W. W. Cheng, T. K. Liu ? , Y. X. Huang, and H. Li College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China (Dated: August 27, 2008) Abstract The impurities of exchange couplings, external magnetic fields and Dzyaloshinskii–Moriya (DM) inter- action considered as Gaussian distribution, the entanglement in one-dimensional random XY spin systems is investigated by the method of solving the different spin-spin correlation functions and the average mag- netization per spin. The entanglement dynamics at central locations of ferromagnetic and antiferromagnetic chains have been studied by varying the three impurities and the strength of DM interaction. (i) For ferro- magnetic spin chain, the weak DM interaction can improve the amount of entanglement to a large value, and the impurities have the opposite effect on the entanglement below and above critical DM interaction. (ii) For antiferromagnetic spin chain, DM interaction can enhance the entanglement to a steady value. Our results imply that DM interaction strength, the impurity and exchange couplings (or magnetic field) play competing roles in enhancing quantum entanglement. PACS numbers: 03.65.Ud, 03.67.Mn, 75.10.Pq Keywords: Dzyaloshinskii–Moriya interaction, spin-spin correlation function, Gaussian distribution ? Supported by the Key Higher Education Programme of Hubei Province under Grant No the Natural Science Foundation of Hubei Province, China under Grant No 2006ABA055, and the Postgraduate Programme of Hubei Normal University under Grant No 2007D20. ? E-mail: scj1122@163.com ? Corresponding author. E-mail: tkliuhs@163.com 1 I. INTRODUCTION Entanglement is not only important in the quantum information processing (QIP), such as quan- tum teleportation, [1] dense coding, [2] quantum s