Entanglement control in an anisotropic two-qubit Heisenberg $XYZ$ model with external magnetic fields

Entanglement control in an anisotropic two-qubit Heisenberg $X Y Z$ model with external magnetic fields

Ahmad Abliz, H. J. Gao, X. C. Xie, Y. S. Wu, and W. M. Liu

Phys. Rev. A 74, 052105 – Published 8 November 2006

Abstract

We study the bipartite entanglement dynamics in an anisotropic two-qubit Heisenberg $X Y Z$ model under the influence of population relaxation and in the presence of various types of magnetic fields. We find that the maximal value of the concurrence has an intrinsic rigidity for the different external magnetic fields. Moreover, our results demonstrate that it is possible to produce entangled states and to control or to modulate the concurrence within the intrinsic maximal value with the help of external time-varying fields despite the existence of dissipation.

Received 5 July 2006

DOI:https://doi.org/10.1103/PhysRevA.74.052105

Authors & Affiliations

Ahmad Abliz^1,2, H. J. Gao¹, X. C. Xie^1,3, Y. S. Wu⁴, and W. M. Liu¹

¹Beijing National Laboratory for Condensed Matter Physics, Institute of Physics, Chinese Academy of Sciences, Beijing 100080, China
²School of Mathematics, Physics and Informatics, Xinjiang Normal University, Urumchi 830054, China
³Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078
⁴Department of Physics, University of Utah, Salt Lake City, Utah 84112

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Vol. 74, Iss. 5 — November 2006

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