Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field

QIN Meng; LI Yan-Biao

doi:10.1088/1674-1137/34/4/005

Chinese Physics C> 2010, Vol. 34> Issue(4) : 448-451 DOI: 10.1088/1674-1137/34/4/005

Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field

QIN Meng ^, ,
LI Yan-Biao

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Abstract：
We investigate the properties of spin-orbit interaction in the ground state and thermal entanglement of a two-qutrit Heisenberg XYZ system in the presence of an inhomogeneous magnetic field. Using negativity as entanglement measure, we give the dependence of entanglement on each parameter in detail. The result shows that one can get appropriate entanglement by adjusting the magnetic field, Dzyaloshinskii-Moriya interaction and anisotropy parameter simultaneously.

References

[1]

. Einstein A, Podolsky B, Rosen N. Phys. Rev., 1935, 47:7772. Schrodinger E. Natursissenschaften, 1935, 23: 8073. Nielsen M A. Ph.D thesis, University of Mexico, 19984. Arnesen M C, Bose S, Vedral V. Phys. Rev. Lett., 2001,87: 0179015. WANG X G. Phys. Rev. A, 2001, 64: 0123136. ZHANG J F, LONG G L, ZHANG W et al. Phys. Rev. A,2005, 72(1): 0123317. LIU D, ZHANG Y, LIU Y et al. Chinese Physics Letters,2007, 24(1): 8-108. QIN M, TIAN D P. Chinese Physics C, 2009, 33(4): 249-2519. SHAN C J, CHEN W W, LIU T K, HUANG Y X, LI H.Acta Phys. Sin., 2008, 57(5): 2687-2694 (in Chinese)10. Jung P, Helmes W, Rosch A. Phys. Rev. Lett. 2006, 96:06720211. WANG X G, FU H C, Solomon I A. Journal of Physics A,2001, 34: 11307-1132012. QIN M, TAO Y J, HU M L, TIAN D P. Science in China Series G: Physics Mechanics Astron, 2008, 51(7): 817-82213. HU M L, TIAN D. Science in China Series G: Physics Mechanics Astron, 2007, 50(2): 208-21414. MA X S, ZHANG J Y, CONG H S,WANG A M. Science in China Series G: Physics Mechanics Astron, 2008, 51(12):1897-190415. DING S C, JIN Z. Chinese Science Bulletin, 2007, 52(16):2161-216616. CUI W, XI Z R, PAN Y. Front. Comput. Sci. China, 2008,2(2): 129-13717. Vidal G, Werner R F. Phys. Rev. A, 2002, 65: 03231418. Schliemann J. Phys. Rev. A, 2003, 68: 01230919. Derzhko O, Verkholyak T, Krokhmalski T et al. Phys. Rev.B, 2006, 73: 21440720. ZHANG G F. Phys. Rev. A, 2007, 75: 03430421. TIAN D P, QIN M, TAO Y J et al. HEP NP, 2007,31(11): 1082-108522. Peres A. Phys. Rev. Lett., 1996, 77: 1413

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QIN Meng and LI Yan-Biao. Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field[J]. Chinese Physics C, 2010, 34(4): 448-451. doi: 10.1088/1674-1137/34/4/005

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Received: 2009-05-26
Revised: 2009-06-28

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通讯作者: 陈斌, bchen63@163.com

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沈阳化工大学材料科学与工程学院沈阳 110142

Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field

Corresponding author: QIN Meng,

Received Date: 2009-05-26

Accepted Date: 2009-06-28

Available Online: 2010-04-05

Abstract:

We investigate the properties of spin-orbit interaction in the ground state and thermal entanglement of a two-qutrit Heisenberg XYZ system in the presence of an inhomogeneous magnetic field. Using negativity as entanglement measure, we give the dependence of entanglement on each parameter in detail. The result shows that one can get appropriate entanglement by adjusting the magnetic field, Dzyaloshinskii-Moriya interaction and anisotropy parameter simultaneously.

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Effect of spin-orbit interaction on entanglement of two-qutrit Heisenberg XYZ systems in an inhomogeneous magnetic field

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