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.
Received: 12 June 2007
Revised: 06 July 2007
Accepted manuscript online:
PACS:
03.67.Lx
(Quantum computation architectures and implementations)
Fund: 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).
Cite this article:
Xu Xiao-Bo(徐晓波), Liu Jin-Ming(刘金明), and Yu Peng-Fei(于鹏飞) Entanglement of a two-qubit anisotropic Heisenberg XYZ chain in nonuniform magnetic fields with intrinsic decoherence 2008 Chin. Phys. B 17 456
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