Quantum Correlations in Infinite xY Spin-1/2 Chains and Quantum Phase Transition
We examine the ability of quantum discord （QD） and entanglements （concurrence, EoF and negativity） to detect the critical points associated to quantum phase transitions （QPTs） for XY models, i.e., the isotropic XY model with three-spin interactions at zero temperature, and the anisotropic XY model i...
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| Veröffentlicht in: | Communications in theoretical physics 2013-02, Vol.59 (2), p.146-156, Article 146 |
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| creator | 谭小东 黄寿胜 金柏琪 |
| description | We examine the ability of quantum discord （QD） and entanglements （concurrence, EoF and negativity） to detect the critical points associated to quantum phase transitions （QPTs） for XY models, i.e., the isotropic XY model with three-spin interactions at zero temperature, and the anisotropic XY model in a transverse magnetic field h at finite temperatures. For the case of zero temperature, we found that both entanglements and QD can spotlight the critical points of QPTs for these two models. Moreover, QD versus distance M exhibits the long-range behavior of quantum correlation for the anisotropic XY model, while entanglement is short-ranged. For the case of finite temperatures, we found that negativity has the same behaviors with concurrence at or near transition points. Moreover, QD for the anisotropic XY model can increase with temperature even in the absence of a magnetic field. |
| doi_str_mv | 10.1088/0253-6102/59/2/04 |
| format | Article |
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For the case of zero temperature, we found that both entanglements and QD can spotlight the critical points of QPTs for these two models. Moreover, QD versus distance M exhibits the long-range behavior of quantum correlation for the anisotropic XY model, while entanglement is short-ranged. For the case of finite temperatures, we found that negativity has the same behaviors with concurrence at or near transition points. 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For the case of zero temperature, we found that both entanglements and QD can spotlight the critical points of QPTs for these two models. Moreover, QD versus distance M exhibits the long-range behavior of quantum correlation for the anisotropic XY model, while entanglement is short-ranged. For the case of finite temperatures, we found that negativity has the same behaviors with concurrence at or near transition points. 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| ispartof | Communications in theoretical physics, 2013-02, Vol.59 (2), p.146-156, Article 146 |
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| source | IOP Publishing Journals; Institute of Physics (IOP) Journals - HEAL-Link; Alma/SFX Local Collection |
| subjects | Anisotropy Correlation Critical point Entanglement Magnetic fields Mathematical analysis Phase transformations Transition points XY模型 各向同性 各向异性 有限温度 横向磁场 相变 自旋相互作用 量子关联 |
| title | Quantum Correlations in Infinite xY Spin-1/2 Chains and Quantum Phase Transition |
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