| Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction |
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| 引用本文： | 陈涛,黄燕霞,单传家,李金星,刘继兵,刘堂昆. Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii-Moriya interaction[J]. 中国物理 B, 2010, 19(5): 50302-050302. DOI: 10.1088/1674-1056/19/5/050302 |
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| 作者姓名： | 陈涛 黄燕霞 单传家 李金星 刘继兵 刘堂昆 |
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| 作者单位： | College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant No.~10904033),Educational Commission of Hubei Province (Grant No.~D20092204) andNatural Science Foundation of Hubei Normal University (GrantNo.~2007D21). |
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| 摘 要： | This paper investigates the entanglement evolution of a two-qubit anisotropic Heisenberg XYZ chain in the presence of Dzyaloshinskii-Moriya interaction.The time evolution of the concurrence is studied for the initial pure entangled states cos θ |00 + sin θ |11 and cos |01 + sin |10 at zero temperature.The influences of Dzyaloshinskii-Moriya interaction D,anisotropic parameter and environment coupling strength γ on entanglement evolution are analysed in detail.It is found that the effect of noisy environment obviously suppresses the entanglement evolution,and the Dzyaloshinskii-Moriya interaction D acts on the time evolution of entanglement only when the initial state is cos |01 + sin |10.Finally,a formula of steady state concurrence is obtained,and it is shown that the stable concurrence,which is independent of different initial states and Dzyaloshinskii-Moriya interaction D,depends on the anisotropic parameter and the environment coupling strength γ.
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| 关 键 词： | Heisenberg model entanglement evolution decoherence Dzyaloshinskii-Moriya interaction |
| 收稿时间： | 2009-08-03 |
Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction |
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| Chen Tao,Huang Yan-Xi,Shan Chuan-Ji,Li Jin-Xing,Liu Ji-Bing and Liu Tang-Kun. Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction[J]. Chinese Physics B, 2010, 19(5): 50302-050302. DOI: 10.1088/1674-1056/19/5/050302 |
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| Authors: | Chen Tao Huang Yan-Xi Shan Chuan-Ji Li Jin-Xing Liu Ji-Bing Liu Tang-Kun |
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| Affiliation: | College of Physics and Electronic Science, Hubei Normal University, Huangshi 435002, China |
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| Abstract: | This paper investigates the entanglement evolution of atwo-qubit anisotropic Heisenberg XYZ chain in the presence ofDzyaloshinskii--Moriya interaction. The time evolution of theconcurrence is studied for the initial pure entangled states $costheta leftvert 00rightrangle +sin theta leftvert11rightrangle $ and $cos phi leftvert 01rightrangle +sinphi leftvert 10rightrangle $ at zero temperature. Theinfluences of Dzyaloshinskii--Moriya interaction $D$, anisotropicparameter $varDelta$ and environment coupling strength $gamma$ onentanglement evolution are analysed in detail. It is found that theeffect of noisy environment obviously suppresses the entanglementevolution, and the Dzyaloshinskii--Moriya interaction $D$ acts onthe time evolution of entanglement only when the initial state is$cos phi leftvert 01rightrangle +sin phi leftvert10rightrangle $. Finally, a formula of steady state concurrence isobtained, and it is shown that the stable concurrence, which isindependent of different initial states and Dzyaloshinskii--Moriyainteraction $D$, depends on the anisotropic parameter $varDelta$and the environment coupling strength $gamma$. |
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| Keywords: | Heisenberg model entanglement evolution decoherence Dzyaloshinskii--Moriya interaction |
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