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Thermal entanglement of mixed spin XY systems

Wang Lu-Shun Jiang Hui Kong Xiang-Mu

Thermal entanglement of mixed spin XY systems

Wang Lu-Shun, Jiang Hui, Kong Xiang-Mu
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  • Received Date:  29 May 2012
  • Accepted Date:  08 July 2012
  • Published Online:  05 December 2012

Thermal entanglement of mixed spin XY systems

  • 1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, Department of Physics, Qufu Normal University, Qufu 273165, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant No. 10775088), and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2011AM018).

Abstract: In this article, we investigate thermal entanglements of the two-site, three-site and four-site mixed spin (1/2,1) XYsystems. The entanglement versus temperature and external magnetic field is discussed. It is found that the entanglements decrease monotonically as temperature increases in the presence and absence of a weak external magnetic field. For the two-site and four-site XY systems, thermal entanglements disappear at the same temperature which is called critical temperature no matter in the ferromagnetic case or antiferromagnetic. It also shows that the critical temperature is independent of external magnetic field. For the three-site system, the corresponding critical temperature is also irrelevant to external magnetic field, while the critical temperature for the ferromagnetic case is higher than that for the antiferromagnetic case. The entanglement of XY systems can develop a few stable platform in an environment of low temperature, but the entanglement vanishes when external magnetic field exceeds some critical value. In this article, we also analyze the difference in thermal entanglement between mixed-spin system and single-spin system, and find that there exists multi-level level crossing in the mixed-spin system.

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