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Entanglement of Two-Qubit Quantum Heisenberg XYZ Chain |
XI Xiao-Qiang1,2;HAO San-Ru1;CHEN Wen-Xue2;YUE Rui-Hong1 |
1Institute of Modern Physics, Northwest University,
Xi’an 710069
2Fundamental Department of Xi’an Institute of Posts and Telecommunications, Xi’an 710061 |
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Cite this article: |
XI Xiao-Qiang, HAO San-Ru, CHEN Wen-Xue et al 2002 Chin. Phys. Lett. 19 1044-1047 |
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Abstract We derive the analytic expression of the concurrence in the quantum Heisenberg XYZ model and discuss the influence of parameters J, Δ, and Γ on the concurrence. By choosing different values Γ and Δ, we obtain the XX, XY, XXX and XXZ chains. The concurrence decreases with increasing temperature. When T → 0, the concurrence reaches its maximum value 1, i.e., the entangled state, | > = √2/2 (|01> - |10>), is maximum entanglement. For the XXZ chain, when Γ → ∞, the concurrence will meet its maximum value Cmax = sinh(1/T)/cosh(1/T).
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Keywords:
03.65.Ud
03.67.Lx
75.10.Jm
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Published: 01 August 2002
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PACS: |
03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Lx
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(Quantum computation architectures and implementations)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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