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Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction |
Li Zhi-Jian(李志坚)†, Cheng Lu(程璐), and Wen Jiao-Jin(温姣进) |
Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China |
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Abstract We consider a two-qubit system described by the Heisenberg XY model with Dzyaloshinski--Moriya (DM) anisotropic interaction in a perpendicular magnetic field to investigate the relation between entanglement, geometric phase and quantum phase transition (QPT). It is shown that the DM interaction has an effect on the critical boundary. The combination of entanglement and geometric phase may characterize QPT completely. Their jumps mean that the occurrence of QPT and inversely the QPT at the critical point at least corresponds to a jump of one of them.
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Received: 06 December 2008
Revised: 15 May 2009
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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03.65.Vf
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(Phases: geometric; dynamic or topological)
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03.67.Lx
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(Quantum computation architectures and implementations)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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75.10.Jm
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(Quantized spin models, including quantum spin frustration)
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Fund: Project supported by the Natural
Science Foundation for Young Scientists of Shanxi Province of China
(Grant No. 2007021001), the Science and Technology Key Item of
Chinese Ministry of Education (Grant No. 207017), National
Fundamental Fund of Personnel Training (Grant No. J0730317) and the
National Natural Science Foundation of China (Grant No. 10774094). |
Cite this article:
Li Zhi-Jian(李志坚), Cheng Lu(程璐), and Wen Jiao-Jin(温姣进) Critical entanglement and geometric phase of a two-qubitmodel with Dzyaloshinski--Moriya anisotropic interaction 2010 Chin. Phys. B 19 010305
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