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Entanglement dynamics of two qubits coupled by Heisenberg XY interaction under a nonuniform magnetic field in a spin bath |
Zhou Feng-Xue(周凤雪)a), Zhang Li-Da(张理达) a), Qi Yi-Hong(祁义红)b), Niu Yue-Ping(钮月萍)a)†, Zhang Jing-Tao(张敬涛)a), and Gong Shang-Qing(龚尚庆) a)b)‡ |
a State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China; b Department of Physics, East China University of Science and Technology, Shanghai 200237, China |
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Abstract This paper investigates the entanglement dynamics of a Heisenberg XY model for a two-spin system in the presence of a nonuniform magnetic field. The master equations and the concurrence evolution equations for the initial α state are derived and analysed. It is shown that for the symmetric initial α state, only the nonuniform field can play a role in entanglement dynamics while the uniform field and the bath will not play such a role. For the asymmetric α state, the nonuniform field leads to the beat pattern oscillation of the concurrence evolution. The inhomogeneity of the field can enhance the entanglement by suppressing the decoherence effects of both the spin—orbit interaction and the spin bath.
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Received: 24 February 2011
Revised: 16 March 2011
Accepted manuscript online:
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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42.50.Dv
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(Quantum state engineering and measurements)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10874194, 60978013, and 60921004) and the
International Cooperation Program from Science and Technology Commission of Shanghai Municipality (Grant No. 10530704800). |
Cite this article:
Zhou Feng-Xue(周凤雪), Zhang Li-Da(张理达), Qi Yi-Hong(祁义红), Niu Yue-Ping(钮月萍), Zhang Jing-Tao(张敬涛), and Gong Shang-Qing(龚尚庆) Entanglement dynamics of two qubits coupled by Heisenberg XY interaction under a nonuniform magnetic field in a spin bath 2011 Chin. Phys. B 20 080302
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