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Effects of phase decoherence on the entanglement of a two-qubit anisotropic Heisenberg XYZ chain with an in-plane magnetic field

  • Quantum Optics and Quantum Information
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Abstract.

We investigate the phase decoherence effects on the entanglement of a two-qubit anisotropic Heisenberg \(\it XYZ\) model with a nonuniform magnetic field in the x–z-plane. As a measure of the entanglement, the concurrence of the system is calculated. It is shown that when the magnetic field is along the z-axis, the nonuniform and uniform components of the field have no influence on the entanglement for the cases of \(\rho _1=\left| 00\right\rangle \left\langle 00\right| \) and \(\rho _2=\left| 01\right\rangle \left\langle 01\right| \), respectively. But when the magnetic field is not along the z-axis, both the uniform and the nonuniform components of the field will introduce the decoherence effects. It is found that the effects of the Heisenberg chain's anisotropy in the Z-direction on the entanglement are dependent on the direction of the field. Moreover, the larger the initial concurrence is, the higher value it will exhibit during the time evolution of the system for a proper set of the parameters ν, Δ, θ, γ , B and b.

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Authors and Affiliations

  1. Department of Physics, East China Normal University, Key Laboratory for Optical and Magnetic Resonance Spectroscopy, Shanghai, 200062, P.R. China

    P. F. Yu, J. G. Cai, J. M. Liu & G. T. Shen

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  1. P. F. Yu
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  2. J. G. Cai
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  3. J. M. Liu
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  4. G. T. Shen
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Correspondence to J. M. Liu.

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Yu, P., Cai, J., Liu, J. et al. Effects of phase decoherence on the entanglement of a two-qubit anisotropic Heisenberg XYZ chain with an in-plane magnetic field. Eur. Phys. J. D 44, 151–158 (2007). https://doi.org/10.1140/epjd/e2007-00140-7

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  • DOI: https://doi.org/10.1140/epjd/e2007-00140-7

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