中国物理B ›› 2008, Vol. 17 ›› Issue (2): 456-461.doi: 10.1088/1674-1056/17/2/019

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Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence

徐晓波, 刘金明, 于鹏飞   

  1. Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
  • 收稿日期:2007-06-12 修回日期:2007-07-06 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    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).

Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence

Xu Xiao-Bo(徐晓波), Liu Jin-Ming(刘金明)†, and Yu Peng-Fei(于鹏飞)   

  1. Key Laboratory of Optical and Magnetic Resonance Spectroscopy, Department of Physics, East China Normal University, Shanghai 200062, China
  • Received:2007-06-12 Revised:2007-07-06 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    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).

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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 \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.

关键词: Heisenberg XYZ chain, concurrence, magnetic field, intrinsic decoherence

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 $\left| \varPsi \left( 0\right) \right\rangle =\left| 00\right\rangle$ and $\left| \varPsi’\left( 0\right) \right\rangle =m\left| 01\right\rangle +n\left| 10\right\rangle$, respectively.

Key words: Heisenberg XYZ chain, concurrence, magnetic field, intrinsic decoherence

中图分类号:  (Quantum computation architectures and implementations)

  • 03.67.Lx
03.65.Ud (Entanglement and quantum nonlocality) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 05.50.+q (Lattice theory and statistics)