中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3687-3692.doi: 10.1088/1674-1056/18/9/013

• GENERAL • 上一篇    下一篇

Enhancement of next-nearest-neighbouring entanglement in quantum Ising spin chain

单传家, 刘继兵, 程维文, 刘堂昆, 黄燕霞, 李宏   

  1. College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China
  • 收稿日期:2009-02-28 修回日期:2009-03-19 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the Foundation for Scientific and Technological Research Programme, Education Department of Hubei Province, China (Grant No Z200722001), and the Postgraduate Programme of Hubei Normal University of China (Grant No 2007D20).

Enhancement of next-nearest-neighbouring entanglement in quantum Ising spin chain

Shan Chuan-Jia(单传家)†, Liu Ji-Bing(刘继兵), Cheng Wei-Wen(程维文), Liu Tang-Kun(刘堂昆), Huang Yan-Xia(黄燕霞), and Li Hong(李宏)   

  1. College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China
  • Received:2009-02-28 Revised:2009-03-19 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the Foundation for Scientific and Technological Research Programme, Education Department of Hubei Province, China (Grant No Z200722001), and the Postgraduate Programme of Hubei Normal University of China (Grant No 2007D20).

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摘要： Using the method of the Jordan--Wigner transformation for solving different spin--spin correlation functions, we have investigated the generation of next-nearest-neighbouring entanglement in a one-dimensional quantum Ising spin chain with the Gaussian distribution impurities of exchange couplings and external magnetic fields taken into account. The maximal value of entanglement between the next-nearest-neighbouring qubits in the transverse Ising model was analysed in detail by varying the effectively controlled parameters such as interchange coupling, magnetic field and the system impurity. For such systems, where both exchange couplings and external magnetic field disorder appear, we show that it is possible to achieve next-nearest-neighbouring entanglement better than the previously discussed pure Ising spin chain case. We also show that the Gaussian distribution impurity can induce next-nearest-neighbouring entanglement, which can be used as a means to characterize quantum phase transition.

Abstract: Using the method of the Jordan--Wigner transformation for solving different spin--spin correlation functions, we have investigated the generation of next-nearest-neighbouring entanglement in a one-dimensional quantum Ising spin chain with the Gaussian distribution impurities of exchange couplings and external magnetic fields taken into account. The maximal value of entanglement between the next-nearest-neighbouring qubits in the transverse Ising model was analysed in detail by varying the effectively controlled parameters such as interchange coupling, magnetic field and the system impurity. For such systems, where both exchange couplings and external magnetic field disorder appear, we show that it is possible to achieve next-nearest-neighbouring entanglement better than the previously discussed pure Ising spin chain case. We also show that the Gaussian distribution impurity can induce next-nearest-neighbouring entanglement, which can be used as a means to characterize quantum phase transition.

Key words: next-nearest-neighbouring entanglement, Ising spin chain, Jordan--Wigner transformation

中图分类号:  (Quantized spin models, including quantum spin frustration)

  • 75.10.Jm
03.65.Ud (Entanglement and quantum nonlocality) 03.67.Lx (Quantum computation architectures and implementations)