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Chin. Phys. B, 2008, Vol. 17(8): 2800-2803    DOI: 10.1088/1674-1056/17/8/009
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Thermal entanglement in a two-qubit Heisenberg XY chain with the Dzyaloshinskii--Moriya interaction

Qin Meng(秦猛)a), Xu Sheng-Long(徐胜龙)b), Tao Ying-Juan(陶应娟)a), and Tian Dong-Ping(田东平)c)
a School of Science, Xi'an Jiaotong University, Xi'an 710049, China; b College of Physics and Information Technology, Shaanxi Normal University, Xi'an 710062, China; c Xi'an Institute of Post and Telecommunication, Xi'an 710061, China
Abstract  This paper investigates thermal entanglements of a two-qubit Heisenberg $XY$ chain in the presence of the Dzyaloshinskii--Moriya anisotropic antisymmetric interaction. By the concept of concurrence, it is found that the effects of spin--orbit coupling on the entanglement are different from those of spin--spin model. The analytical expressions of concurrence are obtained for this model.
Keywords:  thermal entanglement      Heisenberg $XY$ chain      Dzyaloshinskii--Moriya interaction  
Received:  29 October 2007      Revised:  26 November 2007      Accepted manuscript online: 
PACS:  03.65.Ud (Entanglement and quantum nonlocality)  
  03.67.-a (Quantum information)  
  75.10.Jm (Quantized spin models, including quantum spin frustration)  

Cite this article: 

Qin Meng(秦猛), Xu Sheng-Long(徐胜龙), Tao Ying-Juan(陶应娟), and Tian Dong-Ping(田东平) Thermal entanglement in a two-qubit Heisenberg XY chain with the Dzyaloshinskii--Moriya interaction 2008 Chin. Phys. B 17 2800

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