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.
Received: 28 February 2009
Revised: 19 March 2009
Accepted manuscript online:
PACS:
75.10.Jm
(Quantized spin models, including quantum spin frustration)
(Quantum computation architectures and implementations)
Fund: 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).
Cite this article:
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) Enhancement of next-nearest-neighbouring entanglement in quantum Ising spin chain 2009 Chin. Phys. B 18 3687
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