Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction

doi:10.1088/1674-1056/19/5/050302

Abstract 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 \theta \left\vert 00\right\rangle +\sin \theta \left\vert 11\right\rangle $ and $\cos \phi \left\vert 01\right\rangle +\sin \phi \left\vert 10\right\rangle $ at zero temperature. The influences of Dzyaloshinskii--Moriya interaction $D$, anisotropic parameter $\varDelta$ and environment coupling strength $\gamma$ 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 \phi \left\vert 01\right\rangle +\sin \phi \left\vert 10\right\rangle $. 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 $\varDelta$ and the environment coupling strength $\gamma$.

Keywords: Heisenberg model entanglement evolution decoherence Dzyaloshinskii--Moriya interaction

Received: 03 August 2009
Revised: 13 October 2009
Accepted manuscript online:

PACS:	75.10.Jm	(Quantized spin models, including quantum spin frustration)
	75.30.Gw	(Magnetic anisotropy)
	75.30.Et	(Exchange and superexchange interactions)
	03.65.Ud	(Entanglement and quantum nonlocality)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10904033), Educational Commission of Hubei Province (Grant No.~D20092204) and Natural Science Foundation of Hubei Normal University (Grant No.~2007D21).

Cite this article:

Chen Tao(陈涛), Huang Yan-Xia(黄燕霞), Shan Chuan-Jia(单传家), Li Jin-Xing(李金星), Liu Ji-Bing(刘继兵), and Liu Tang-Kun(刘堂昆) Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction 2010 Chin. Phys. B 19 050302

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Entanglement evolution in an anisotropic two-qubit Heisenberg XYZ model with Dzyaloshinskii－Moriya interaction

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