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Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence
作者姓名:徐晓波  刘金明  于鹏飞
作者单位:Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China;Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China;Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
基金项目:Project supported by the State Key Development Program for Basic Research of China (Grant No 2006CB921604) and the National Natural Science Foundation of China (Grant Nos 60708003, 60578050 and 10434060).
摘    要:Taking the intrinsic decoherence effect into account, this paper investigates the entanglement of a two-qubit anisotropic Heisenberg XYZ model in the presence of nonuniform external magnetic fields by employing the concurrence as entanglement measure. It is found that both the intrinsic decoherence and the anisotropy of the system give a significant suppression to the entanglement. Moreover it finds that the initial state of the system plays an important role in the time evolution of the entanglement, which means that the entanglement of the system is independent of the nonuniformity and uniformity of the magnetic field when the system is in the initial state |ψ (0)) = |00) and ψ′ (0)) = m |01) + n |10), respectively.

关 键 词:磁场学  脱离状态  海森堡  非均质
收稿时间:2007-06-12
修稿时间:7/6/2007 12:00:00 AM

Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence
Xu Xiao-Bo,Liu Jin-Ming and Yu Peng-Fei.Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence[J].Chinese Physics B,2008,17(2):456-461.
Authors:Xu Xiao-Bo  Liu Jin-Ming and Yu Peng-Fei
Institution:Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
Abstract:Taking the intrinsic decoherence effect into account, this paper investigates the entanglement of a two-qubit anisotropic Heisenberg XYZ model in the presence of nonuniform external magnetic fields by employing the concurrence as entanglement measure. It is found that both the intrinsic decoherence and the anisotropy of the system give a significant suppression to the entanglement. Moreover it finds that the initial state of the system plays an important role in the time evolution of the entanglement, which means that the entanglement of the system is independent of the nonuniformity and uniformity of the magnetic field when the system is in the initial state \left| \Ps \left( 0\right) \right\rangle =\left| 00\right\rangle and \left| \Ps’\left( 0\right) \right\rangle =m\left| 01\right\rangle +n\left| 10\right\rangle , respectively.
Keywords:Heisenberg XYZ chain  concurrence  magnetic field  intrinsic decoherence
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